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Evaluate log3 81
Answer : ### **Step-by-Step Solution** #### Step 1: Set up the equation Let's set the expression equal to a variable, like `x`. `log₃ 81 = x` Our goal is to find the value of `x`. #### Step 2: Convert the logarithm ... 3⁴ = 81`, we can substitute 4 back in for `x`. `x = 4` Therefore: **log₃ 81 = 4**...

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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) |...

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Define a "physical quantity."
Answer : ### Core Definition A **physical quantity** is a property of a material, system, or phenomenon that can be quantified by measurement. In simpler terms, it is any feature of the universe ... that tell us how these words relate to one another to describe the universe accurately and predictably....

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Torque equation and generated emf in rotor of single phase induction motor.
Answer : The analysis of a single-phase induction motor is fascinating because, unlike its three-phase counterpart, it is not self-starting. The key to understanding its torque and EMF lies in the **Double ... is zero. Once the motor starts rotating (slip decreases from 1), a positive net torque develops....

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With a neat diagram explain medium head hydro-electric power plants.
Answer : ### **Medium-Head Hydro-Electric Power Plant** A medium-head hydro-electric power plant operates with a "head" (the vertical distance the water falls) typically ranging from **30 meters to 300 meters* ... **Tailrace:** The channel that carries water away from the powerhouse and back to the river....

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With a neat diagram explain solar photovoltaic power plant.
Answer : Diagram of solar photovoltaic power plant : ![][1] [1]: https://electrical-engineering.app/?qa=blob&qa_blobid=4390643679587391452 Explanation: Solar power plant consists of following components: 1. ... 5. Step-up transformer: It step-up input voltage to utilization voltage e.g. 230V ...

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Explain the choice of size and number of generator units in a power plant.
Answer : --- ### The Fundamental Trade-Off At its core, the decision boils down to a trade-off between two main approaches: 1. **A Few Large Units:** This approach leverages **economies ... designed with multiple, fast-ramping units to complement the variability of wind and solar power on the grid....

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Electrical Engineering

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Explain Squirrel Cage Induction Generator (SCIG) and also draw a diagram.
Answer : ![][1] [1]: https://electrical-engineering.app/?qa=blob&qa_blobid=15646281222121025403 Explanation (Operation):-  In this system gearbox is used to increase the speed of high speed ... , variable voltage output of the generator into the fixed frequency, fixed voltage output required for grid....

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Electrical Engineering

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Draw and explain fixed dome type biogas plant.
Answer : **Fixed Dome Type Biogas Plant**, also commonly known as the **Janta model** (in India) or the **Chinese model**. ### Diagram of a Fixed Dome Biogas Plant This diagram shows a cross-section of the ... . | **Gas Storage is Limited:** The volume of the dome limits how much gas can be stored. |...

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Electrical Engineering

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With a neat diagram explain pelton wheel turbine.
Answer : ### **Introduction** The **Pelton wheel** or **Pelton turbine** is a type of **impulse turbine** used in hydroelectric power plants. It is a tangential flow turbine, meaning ... hydroelectric power plants situated in mountainous regions where a large difference in water level (head) is available....

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