Solve the following using Taylor’s Series Method (up to 3 terms): \[ \frac{dy}{dx} = x^2 + y, \quad y(0) = 1 \] Find \( y(0.2) \).

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Solve the first-order PDE using Lagrange’s method \[ p + q = x + y \] where \( p = \frac{\partial z}{\partial x} \) and \( q = \frac{\partial z}{\partial y} \).

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Sketch signals given by following equations : 1. x(t) = u(t) - u(t-1) 2. x(t) = δ(t+1) - δ(t-1)

Sketch signals given by following equations : 1. x(t) = u(t) - u(t-1) 2. x(t) = δ(t+1) - δ(t-1)
Answer : Let's go through each equation step by step and describe how to sketch the signals. ### 1. \( x(t) = u(t) - u(t-1) \) - \( u(t) \) is the **unit step function**, which is 0 for \( ... a negative impulse at \( t = 1 \). If you'd like me to generate graphical sketches of these signals, let me know!...

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Solve the linear homogeneous equation \[ D^2y - 5Dy + 6y = 0 \]

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Convert the following Boolean equation to standard SOP form and implement using NAND-NAND logic: (i) y = A'B'C' + ABC'D' + A'C'D' (ii) y = PQ + P'QR + PQR.

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A 3 phase line of 4 km length delivers 4000 kW at a p.f of 0.8 lagging to a load the resistance and reactance per km of each conductor are 0.2 Ω and 0.5 Ω respectively if the voltage at the supply end is maintained at 11 kV. Calculate the received end voltage and efficiency of line.
Answer : Let's break down the problem step by step and calculate the received end voltage and the efficiency of the line. ### Given Data: - Power delivered to the load, \( P = 4000 \, \text{kW} \) - Power factor, \( \text{p. ... voltage**: \( 10.43 \, \text{kV} \) - **Efficiency of the line**: \( 98.61\% \)...

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Implement the following Boolean equation using fundamental gates: Y = ABC + A'B'C' + A'C'B.

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Write the expression of phase angle in terms of the reading of the 2 wattmeters in the two wattmeter method.

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Explain with the help of a neat diagram the following methods of speed control for a DC series motor: (i) Field diverter method. (ii) Tapped field method.

Explain with the help of a neat diagram the following methods of speed control for a DC series motor: (i) Field diverter method. (ii) Tapped field method.
Answer : ### Speed Control of DC Series Motor DC series motors are commonly used in applications where the motor needs to run at varying speeds, such as in cranes, electric trains, and ... given armature current, but they come with different complexities and impacts on the overall motor performance....

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State the merits and demerits of power measurement using 2-wattmeter method.

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Explain the method of separation of variables with an example.

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Define the following terms related to logic families: (i) Noise Margin (ii) FAN-OUT (iii) Propagation delay (iv) Power dissipation.

Define the following terms related to logic families: (i) Noise Margin (ii) FAN-OUT (iii) Propagation delay (iv) Power dissipation.
Answer : Here are the definitions of the terms related to logic families: ### (i) **Noise Margin** Noise margin is the measure of how much noise a logic gate or circuit can tolerate ... concepts are critical for understanding how logic circuits perform and how to optimize them for different applications....

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Define the following terms with respect to protective relays: i) Relay time ii) Reset current iii) Plug setting multiplier iv) Time setting multiplier.

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Define the following terms related to circuit breaker: i) Breaking Capacity ii) Making Capacity iii) Short time rating iv) Normal current rating.

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Define the following terms related to CB: i) Rated normal current ii) Rated breaking current iii) Short time rating iv) Symmetrical breaking current.

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How to find y parameters in two-port network?

How to find y parameters in two-port network?
Answer : To find the **Y-parameters** (admittance parameters) of a two-port network, you follow a systematic process based on the definitions of the parameters. The **Y-parameters** describe the ... these conditions and calculating the ratios, you can determine the Y-parameters for the two-port network....

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How to find z parameter from y parameter?

How to find z parameter from y parameter?
Answer : To convert **Y-parameters** (admittance parameters) to **Z-parameters** (impedance parameters), you can use the following relationship between them. For a two-port network, the general equation ... Y-parameters to Z-parameters, find the inverse of the Y-parameter matrix using the formula above....

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What are hair types 1 2 3 and 4?

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Where can you find up-to-date information on MCB technology?

Where can you find up-to-date information on MCB technology?
Answer : To stay up-to-date on MCB (Miniature Circuit Breaker) technology, there are several good sources you can check out: ### 1. **Industry Websites and Manufacturers' Websites** - * ... on top of developments in MCB technology and make informed decisions based on the latest standards and innovations....

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Which of the following is the best method to reduce eddy current?

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How to solve series circuit?

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A 3 φ I.M. has synchronous speed of 250rpm and 4% slip at full load. The rotor has a resistance of 0.02Ω/ph and stand still reactance of 0.15Ω/ph. Calculate i) The speed at which max torque is developed. ii) The ratio of maximum to F. L. torque. iii) The ratio of maximum to starting torque.

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Define the following terms: (i) Average demand (ii) Load factor (iii) Plant capacity factor (iv) Plant use factor

Define the following terms: (i) Average demand (ii) Load factor (iii) Plant capacity factor (iv) Plant use factor
Answer : Here are the definitions of the terms: 1. **Average Demand**: It refers to the average amount of electricity or power consumed over a specific period, usually measured in ... ] These terms are important to evaluate the efficiency and performance of power plants and electrical systems....

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Explain the concept of the following terms: (i) Connected load (ii) Maximum demand

Explain the concept of the following terms: (i) Connected load (ii) Maximum demand
Answer : Sure! Here's a simple explanation of both terms: ### 1. **Connected Load:** - **Definition:** The *connected load* refers to the total electrical power (in kilowatts, kW or kilovolt- ... appliances run simultaneously at full capacity. Let me know if you'd like to dive deeper into these!...

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Define the following terms. (i) Precision (ii) Drift (iii) Resolution (iv) Back lash

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Define the following terms: i) Luminous intensity ii) Luminous flux.

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Define the following terms (i) lux and (ii) lumens.

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How to find node voltage using KCL?

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How do you find the Z-parameters from Y parameters?

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What are the Y parameters of a 2 port network?

What are the Y parameters of a 2 port network?
Answer : The **Y-parameters** (also known as **admittance parameters**) are a set of parameters used to describe the relationship between the voltages and currents at the input and output ... useful when dealing with networks involving parallel elements or where admittance is more relevant than impedance....

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Which parameters are to be calculated if two 2 port networks are connected in series?

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An industrial consumer charged with the scheduled tariff of Rs.250 /kVA per month for maximum demand and 150 paisa per unit consumed for load factor of 60% and 80%. Find overall cost per unit at i) unity P.F. ii) 0.9 P.F. consider maximum demand of 50 kVA.
Answer : To solve this, we need to calculate the total cost of electricity consumption for an industrial consumer, considering the maximum demand (MD), load factor (LF), and power factor (PF) at ... tariff is based on kVA, and the load factor and total consumption determine the cost more significantly....

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Which meter has a greater sensitivity and why? Meter A having a range of 0-10 V and a multiplier resistance of 18 kΩ and meter B with a range of 0-300 V and multiplier resistance of 298 kΩ? Both meter movements have a resistance of 2 kΩ.

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How to find 3 phase power?

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What is the equation for a 2 to 1 multiplexer?

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What is a 2 to 1 multiplexer?

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Can I replace 1.2 uF to 1.5 uF?

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How can you start-up the 40w tube lite with 230v AC/DC without using any choke/Coil?

How can you start-up the 40w tube lite with 230v AC/DC without using any choke/Coil?
Answer : To start up a 40W tube light (fluorescent lamp) with 230V AC/DC without using a choke/coil, you can use an electronic ballast. Here's how you can approach it: ### 1. **Electronic ... for that specific voltage and wattage, and this will ensure proper startup and stable operation of the tube light....

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A uniform illumination of 150 lux is to be obtained on the floor of a room measuring 15m x 15m by arranging electric lights suitably. Calculate the number of lamps and wattage of each lamp if lamp efficiency is 20 lumens/watt. Assume and write suitable values of constants required for this calculation.

A uniform illumination of 150 lux is to be obtained on the floor of a room measuring 15m x 15m by arranging electric lights suitably. Calculate the number of lamps and wattage of each ... lamp efficiency is 20 lumens/watt. Assume and write suitable values of constants required for this calculation.

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Describe the following energy conservation techniques in lighting system: i) replacing lamp source ii) using light control gear.

Describe the following energy conservation techniques in lighting system: i) replacing lamp source ii) using light control gear.
Answer : Here's a simple breakdown of the two energy conservation techniques in a lighting system: ### 1. **Replacing Lamp Source** Replacing the lamp source refers to swapping out older, ... can be significantly reduced. This helps in cutting down electricity costs and promoting sustainable energy use....

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What is the difference between PCIe Gen 3 and Gen 4 in terms of signaling?

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Is 1-bit 0 and 1?

Is 1-bit 0 and 1?
Answer : Yes, a 1-bit can represent either a 0 or a 1. It's the most basic unit of data in computing and digital systems. In binary (the base-2 number system), the two possible values of a bit are 0 and 1, ... So when you hear "1-bit," think of it as a tiny piece of information that can either be 0 or 1....

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Does a circle have 0 or 1 side?

Does a circle have 0 or 1 side?
Answer : A circle is often said to have **1 side**. This is because it's a continuous curve with no breaks or angles. So, while it doesn't have sides in the same way a polygon (like a triangle ... circle has 0 sides because it doesn't have straight edges, but mathematically, it's considered to have 1 side....

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Explain various cases of phase angle for 2 wattmeter method.

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How do you solve 3 dimensions?

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State Norton’s theorem and find the current using Norton’s theorem through a load.

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Describe the method for the measurement of high voltage in an a.c circuit using a potential transformer.

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A moving coil instrument gives full scale deflection of 24 mA. When a P.D. across if is 108 mV. Find the value of – (i) Series resistance for full scale deflection of 400 V. (ii) Find the power consumption.

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What is the method of series and parallel connection?

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What is the Taylor's theorem analysis?

What is the Taylor's theorem analysis?
Answer : Taylor's Theorem is a fundamental concept in calculus that provides a way to approximate functions using polynomials. It states that any smooth function can be approximated near a point by a polynomial ... simplify complex calculations. Let me know if you want a deeper dive into any specific part!...

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