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Q. 70

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

a. Show that the peak inductor voltage in a series RLC circuit is maximum at frequency

b. A series RLC circuit with consists of a resistor, a inductor, and a capacitor. What is at and ?

a. The peak inductor voltage in a series RLC circuit is maximum at frequency is

b. at is and at is

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Step by Step Solution

Part (a) Step 1: Given information

We have to prove that the peak inductor voltage in a series RLC circuit is maximum at frequency

Part (a) Step 2: Simplification

We Know that,

Denominator equal to zero

We know that

Part (b) Step 1 : Given Information

We have given that a series RLC circuit with consists of a resistor, a inductor, and a capacitor we have to find at and .

Part (b) Step 2 : Simplification

The voltage across the inductor is

At We get,

The maximizing frequency is

The impedance at this frequency is

The Voltage is

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