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2x + 5 =15 2x = 15 - 5 2x = 10 x = 10/2 x = 5
A storage battery of emf 8.0 V and internal resistance 0.5 Ohm is being charged by a 120 V DC supply using a series resistor of 15.5 Ohm . What is the terminal voltage of the battery during charging? What is the purpose of having a series resistor in the charging circuit? Answer : ### Given Data: * Electromotive force (emf) of the battery, $E = 8.0 \text{ V}$ * Internal resistance of the battery, $r = 0.5 \text{ } \Omega$ * DC supply voltage, $V_{supply} = ... to a much safer and more manageable **7.0 A**, protecting both the battery and the power supply from damage....
MCQ on Induction Motor 3 | Electrical Engineering
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Six lead-acid type of secondary cells each of emf 2.0 V and internal resistance 0.015 Ohm are joined in series to provide a supply to a resistance of 8.5 Ohm . What is the current drawn from the supply and its terminal voltage? Answer : ### Given Data: * Number of cells, **n = 6** * EMF of each cell, **E_cell = 2.0 V** * Internal resistance of each cell, **r_cell = 0.015 Ω** * External resistance (load), **R = 8.5 Ω ... The current drawn from the supply is **1.40 A**. * The terminal voltage of the supply is **11.9 V**....
Electric power formula | Electrical Engineering
A battery of emf 10 V and internal resistance 3 Ohm is connected to a resistor. If the current in the circuit is 0.5 A, what is the resistance of the resistor? What is the terminal voltage of the battery when the circuit is closed? Answer : ### Given Information: * **EMF of the battery (E):** 10 V * **Internal resistance (r):** 3 Ω * **Current in the circuit (I):** 0.5 A --- ### 1. What is the resistance of the ... text{V}$ Both methods give the same result. **Answer:** The terminal voltage of the battery is **8.5 V**....
Supernode Nodal Analysis AC Circuit | Sinusoidal Steady State Analysis | Electrical Engineering
Three identical cells, each of emf. 2V and unknown internal resistance are connected in parallel. This combination is connected to a 5 ohm resistor. If the terminal voltage across the cell is 1.5 volt. What is the internal resistance of each cell? Hence define the internal resistance of a cell? Answer : ### Part 1: Calculating the Internal Resistance Here's how we can find the internal resistance of each cell. **Given Data:** * Electromotive force (EMF) of each cell, E = 2 V * Number of identical cells ... . * **I** is the current flowing from the cell. * **r** is the internal resistance....
Basics of Electrical Engineering
In the context of green building and energy conservation, what is the fundamental difference between R-Value and U-Value, and why is one typically used for individual materials like insulation, while the other is used for complex assemblies like windows? Answer : The fundamental difference is that they are mathematical reciprocals of each other, measuring opposite things: **R-Value measures resistance to heat flow**, while **U-Value measures the rate ... envelope that conserves energy by keeping heat inside during the winter and outside during the summer....
Elements of Industrial Automation MCQs | Electrical Engineering
Find the value of unknown resistance X in the circuit shown in the figure if no current flows through the section AO. Also calculate the current drawn by the circuit from the battery of emf. 6V ... resistance. ![][1] [1]: https://electrical-engineering.app/?qa=blob&qa_blobid=394010198424626099 Answer : ### Part 1: Finding the value of the unknown resistance X The problem states that no current flows through the section AO. Let's label the central junction point as 'O'. 1. **Identify the Principle:** The ... resistance **X is 6Ω**. * The current drawn by the circuit from the battery is **1A**....
1.11 Important terms related to a magnetic circuit | Electrical Engineering
A set of n-identical resistors, each of resistance R ohm when connected in series have an effective resistance of X ohm and when the resistors are connected in parallel the effective resistance is Y ohm. Find the relation between R , X and Y ? Answer : Let's break this down step-by-step to find the relationship between R, X, and Y. ### 1. Resistors in Series When resistors are connected in series, their total effective resistance is the sum of ... the **geometric mean** of the total series resistance (X) and the total parallel resistance (Y)....
Current division rule example | Electrical Engineering
A Carbon resistor has three strips of red colour and a gold strip. What is the value of the resistor? What is its tolerance? Answer : The value of a carbon resistor is determined by the standard resistor color code system. For a 4-band resistor: * **Band 1:** First significant digit * **Band 2:** Second significant ... a new resistor with these color bands will have an actual resistance somewhere between 2090 Ω and 2310 Ω....
Single Phase Series AC Circuit | Electrical Engineering
What is the function of a capacitor in an electronic circuit? Answer : To store electric energy when the circuit is closed and release the energy when circuit is opened ...
Kirchhoff's Current Law (KCL) | Electrical Engineering
What is the purpose of grounding (earthing) in an electrical installation?
Supernode Nodal Analysis in AC circuit | Sinusoidal Steady State Analysis | Electrical Engineering
What is the role of a FACTS device like a STATCOM in a power transmission system?
Phasors Complex numbers in rectangular form | How to convert Polar to Rectangular Form & vice versa
What is the purpose of the Fast Fourier Transform (FFT) algorithm in signal processing?
Nodes, Branches and Loops of a Circuit | Electrical Engineering
What is the primary function of a circuit breaker in an electrical system? Answer : It Cuts the power off in any fault in the circuit such as overloading to protect appliances....
Can DC ammeter or voltmeter measure AC ? | Electrical Engineering
What is the function of the Arithmetic Logic Unit (ALU) in a microprocessor?
Electrical Engineering Facts 76
What is the purpose of a substation in an electrical power grid?
In the given circuit, the current supplied by the battery, in ampere, is _____
What is the purpose of the 'extrude' command in 3D CAD software?
Superposition Theorem Example | Electrical Engineering
What is the function of a rectifier in a power supply?
Determine the relationship between vo and vin in the | Operational Amplifier
In a Hall Effect experiment, a voltage is measured perpendicular to both the current flow and the magnetic field. What is the physical origin of this "Hall Voltage," and what two crucial properties of a semiconductor material can be determined by measuring it? Answer : The physical origin of the Hall Voltage is the **Lorentz force** acting on charge carriers as they move through a magnetic field. This simple experiment is profoundly important because it ... **carrier concentration `n`**, a fundamental parameter that dictates the material's electrical properties....
#electricalengineering
What is the multipath fading problem in wireless communication, and how does the Orthogonal Frequency-Division Multiplexing (OFDM) modulation scheme elegantly solve this problem, which was a major limitation for previous generations of mobile technology? Answer : This question addresses the single most challenging physical problem in mobile communication and the ingenious solution that underpins virtually all modern broadband wireless standards. --- ### **Part 1: The Problem - Multipath Fading and ... **4G LTE, 5G NR, and modern Wi-Fi (Wi-Fi 4/5/6/7)**....
What is Alternating Voltage | Electrical Engineering
Three resistors 1 Ohm , 2 Ohm and 3 Ohm are combined in series. What is the total resistance of the combination? Answer : When resistors are combined in series, the total resistance is the sum of the individual resistances. The formula is: R_total = R1 + R2 + R3 Given the values: * R1 = 1 Ω * R2 = 2 Ω * R3 = 3 Ω ... = 1 Ω + 2 Ω + 3 Ω = 6 Ω So, the total resistance of the combination is **6 Ohms**....
basics of electrical engineering | Ohm's Law
In a potentiometer arrangement, a cell of emf 1.25V gives a balance point at 35.0cm length of the wire. If the cell is replaced by another cell and the balance point shifts to 63.0cm , what is the emf of the second cell? Answer : ### Principle The working principle of a potentiometer is that the potential drop across any portion of a wire of uniform cross-section is directly proportional to the length of that portion, provided a constant current flows ... 2.25 V** ### Answer The EMF of the second cell is **2.25 V**....
Asymmetric Digital Subscriber Line (ADSL) | Electrical Engineering
Two wires A and B are of the same metal and of same length have their areas of cross section in the ratio 2:1 if the same potential difference is applied across each wire in turn, what will be the ratio of current flowing in A & B ? Answer : The ratio of the current flowing in wire A to wire B is **2:1**. --- ### Detailed Explanation Let's break down the problem using the relevant physics principles. #### 1. List the Given ... resistance, which is wire A. Our result confirms this: the current in A is twice the current in B....
Determine frequency and duty cycle. | Electrical and Electronics Engineering
What is the purpose of earthing or grounding in an electrical installation? Answer : The primary and most critical purpose of earthing (or grounding, as it's more commonly called in North America) in an electrical installation is **safety**. It acts as a ... that saves lives and prevents fires by ensuring any dangerous electrical fault is instantly and automatically disconnected....
Direct Current (DC) (English) | Electrical Engineering
What Is Instantaneous Value in AC Circuits? Answer : ![][1] [1]: https://electrical-engineering.app/?qa=blob&qa_blobid=16854098827759881751 *** ### What Is Instantaneous Value in AC Circuits? Definition & Graph Explained When working with Alternating Current (AC), ... , `ω` is the angular frequency, `t` is the time, and `φ` is the phase angle....
Current sources in parallel | Electrical Engineering
Why are microwave frequencies overwhelmingly preferred for radar systems, and what fundamental trade-off does the choice of a specific microwave frequency (e.g., S-band vs. X-band) represent for a radar's performance? Answer : The use of microwaves is not arbitrary; they occupy a "sweet spot" in the electromagnetic spectrum that provides the best balance of physical properties for detecting and ranging objects. ... provides the required resolution for the mission, thereby maximizing its all-weather performance and range....
Digital Electronics | Decimal to Octal Conversion Example
Show that the points (8, 1) (3,-4) and (2,-5) are collinear using determinant. Answer : ### **The Principle** Three points, (x₁, y₁), (x₂, y₂), and (x₃, y₃), are **collinear** (lie on the same straight line) if and only if the area of the triangle they form is zero. ... points do not form a triangle and must lie on the same straight line. Therefore, the points **are collinear**....
Electrical Engineering | Electrical Machine | DC motor | MCQ 4 | Electrical Engineering
What is a Real-Time Operating System (RTOS), and why is it frequently used in embedded systems instead of a general-purpose operating system like Linux or Windows? Answer : The answer lies in one critical concept: **determinism**. While a general-purpose OS is designed for high throughput and fairness, an RTOS is designed for predictability and meeting strict timing deadlines. ... system where **failing to complete a task on time is considered a total system failure.**...
Principle & Benefits of FACTS | Electrical Engineering
What is drift velocity? Derive expression for drift velocity of electrons in a good conductor in terms of relaxation time of electrons? Answer : --- ### Part 1: What is Drift Velocity? In a metallic conductor (like a copper wire), the outer electrons of the atoms are not bound to individual atoms. They are free to move throughout the entire volume of ... field. * The magnitude of the drift velocity is given by: $v_d = \frac{e\tau}{m}E$....
Maximum Power Transfer Theorem 5 | Electrical Engineering
What is the difference between stress and strain in a mechanical component?
What is golden ratio ? | Electrical Engineering
What is the difference between isometric and orthographic projections in technical drawing?
Shared memory | Electrical Engineering
What is the difference between fixed costs and variable costs in an engineering project?
Transistor Circuit Mesh Analysis | Electrical Engineering
What is the difference between accuracy and precision in measurement?
MCQs on Cooling of Transformer | Electrical Engineering
From a fundamental engineering mechanics perspective, what is the primary difference between a beam and a shaft, given that both are often long, slender components used in structural and mechanical systems? Answer : The primary difference lies in the **type of load they are designed to resist** and, consequently, the **purpose they serve**. A **beam** is designed to resist **bending loads**, while a ... it supports. In such cases, engineers must analyze the **combined stresses** from both bending and torsion....
Mesh Analysis Example | Electrical Engineering
In C++, what is the fundamental problem that the virtual keyword solves when working with inheritance and pointers, and what is the practical difference in behavior when a base class function is declared with versus without it? Answer : The `virtual` keyword solves the critical problem of **static vs. dynamic binding**, enabling **runtime polymorphism**, which is arguably the most powerful feature of Object-Oriented Programming. In simple terms, `virtual` ... NOTE: No 'virtual' keyword here void draw() { std::cout ...
3X3 inverse of matrix short trick | Electrical Engineering
In metrology, what is the fundamental difference between accuracy and precision, and why is it possible—and often dangerous—for a measurement to be highly precise but not accurate? Answer : The fundamental difference is that **accuracy** describes the closeness of a measurement to the true value, while **precision** describes the closeness of repeated measurements to each ... . Understanding that a measurement can be consistently wrong is a foundational principle of metrology....
Complex Number Solved Example | Electrical Engineering
What is the fundamental difference in the physical mechanism and material structure between a Light Emitting Diode (LED) and a Laser Diode, given that both are semiconductor p-n junction devices that convert electricity into light? Answer : The difference lies in the nature of the photon emission process they utilize and the physical structure required to support that process. An LED relies on **Spontaneous Emission** to produce incoherent light, ... data | Fiber optics, barcode scanners, laser pointers, Blu-ray/DVD players |...
Miniature Circuit Breaker (MCB) | Electrical Engineering
In designing an IoT application, what are the key trade-offs between processing data in the Cloud versus at the Edge, and can you provide a real-world example where each approach is clearly superior? Answer : This question addresses the fundamental architectural choice of "where the thinking happens" in an IoT system. The decision between Cloud and Edge computing directly impacts an application's ... data analytics, and centralized device management. This combination provides the best of both worlds....
Reluctance Motor MCQs | Electrical Engineering
What is the main difference between a rectifier and an inverter in power electronics? Answer : A rectifier converts AC (Alternating Current) → DC (Direct Current). It is used in power supplies, battery charging, and DC motor drives. Example: diode bridge rectifier. An inverter converts DC ... , wind), UPS systems, and variable-frequency drives. Example: PWM (Pulse Width Modulated) inverter....
Alternating current (AC) (English) | Electrical Engineering
What is the difference between analog and digital instruments in electrical measurement? Answer : Analog instruments use a continuously moving pointer or needle to represent the measured quantity. Example: moving-coil ammeter, analog voltmeter. They are simple and give a visual trend but have lower ... and can store or process data, but they may be costlier and require power supply/electronics....
Z parameter example | Electrical Engineering
What is the difference between a diode and a transistor in electronics? Answer : A diode is a two-terminal device that allows current to flow in only one direction. It is mainly used for rectification (converting AC to DC), voltage regulation, and protection ... input current/voltage, making it essential in signal amplification, digital logic circuits, and power control....
Protecting computer systems from power outages | Electrical Engineering
Why is the Fourier Series—the ability to represent a complex periodic function as a sum of simple sine and cosine waves—considered one of the most powerful tools in applied mathematics and engineering? Answer : The power of the Fourier Series lies in its ability to transform a problem from the often-complex **time domain** into the much simpler and more intuitive **frequency domain**. It acts like a ... ) is impossible. The sharp corners, which rely on the highest frequencies, will always get rounded off....
Electrical Engineering Facts 36
A steady current flow in a metallic conductor of non-uniform crosssection. Which of these quantities is constant along the conductor: current, current density, electric field, drift speed? Answer : Here is a detailed explanation for each quantity: ### 1. Current (I) * **Why it's constant:** The term "steady current" implies that the rate of flow of charge ($I = dQ/dt$) is constant. Due to the ... ($v_d$)** | Not Constant | $v_d = I/(nAe)$. Since A is not constant, $v_d$ is not constant. |...
What is fuse ? | Electrical Engineering
What are the primary causes of electrical breakdown in gaseous insulators?
Nodal Analysis Problem | Electrical Engineering
Two heated wires of the same dimensions are first connected in series and then it’s parallel to a source of supply. What will be the ratio of heat produced in the two cases? Answer : Here is the step-by-step solution: ### The Short Answer The ratio of heat produced in the series case to the parallel case is **1:4**. --- ### Detailed ... proportional to this current, the parallel circuit draws significantly more power and therefore produces significantly more heat....
Express the following functions in cosine form | Electrical Engineering
What is Orthographic Projection, and what is the fundamental principle that governs the alignment of the standard views (Front, Top, and Right Side) on a 2D engineering drawing? Answer : **Orthographic Projection** is the primary method used in engineering to represent a three-dimensional object on a two-dimensional surface. The core idea is to look at the object from ... the exact 3D object it represents, making it the unambiguous foundation for manufacturing and construction....
What is the Fundamental Theorem of Calculus, and why is it considered "fundamental" to the study of calculus? Answer : The Fundamental Theorem of Calculus is the central pillar that connects the two main branches of calculus: **differentiation** and **integration**. In essence, it rigorously proves ... This relationship is the foundation for countless applications in physics, engineering, economics, and statistics....
Root Mean Square (RMS) Value
What is the difference between a fundamental quantity and a derived quantity? Provide two examples of each. Answer : ### The Core Difference In simple terms, **fundamental quantities** are the basic building blocks of measurement. They are independent of each other and cannot be expressed in terms of other physical quantities. Think of them as the ... ** ($m^2$), **Speed** (m/s), **Force** (Newton or kg·m/s²) |...
What is the difference between credit card and debit card ? | Electrical Engineering
Given n resistors each of resistance R, how will you combine them to get the (i) maximum (ii) minimum effective resistance? What is the ratio of the maximum to minimum resistance? Answer : The two fundamental ways to combine resistors are in **series** and in **parallel**. These two configurations yield the maximum and minimum possible resistances, respectively. --- ### (i) Maximum Effective Resistance To obtain the * ... {min} = R/n$ | | **Ratio** | $R_{max} / R_{min}$ | $n^2$ |...
Basic Electrical MCQ | 14 | Electrical Engineering
What happens to the resistance of the wire when its length is increased to twice its original length? Answer : This gets to the core of how resistance works. The short and direct answer is: **The resistance of the wire will double.** Here's a more detailed explanation of why. ### 1. The Simple Explanation (Analogy) Think of the wire ... (x2) | Halves (x0.5) | **Quadruples (x4)** |...
Exploring the Wonders of Earth: Structure, Features, Climate and Life | Electrical Engineering
The storage battery of a car has an emf of 12V . If the internal resistance of the battery is 0.4 Ohm , what is the maximum current that can be drawn from the battery? Answer : The maximum current that can be drawn from the battery is **30 Amperes (A)**. --- ### Detailed Explanation #### 1. Understand the Concepts * **EMF (Electromotive Force, $\mathcal{E ... even explode. This calculation is a theoretical maximum. **Never attempt to short-circuit a car battery.**...
Which lamp will glow brighter ? | Electrical Engineering
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