Q. 56

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Found in: Page 926

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# A series RLC circuit consists of a resistor, a inductor, and a capacitor. It is connected to a oscillator with a peak voltage of . What is the instantaneous current whena. ?b. and is decreasing?

(a) Instantaneous current is,

(b) Instantaneous current is,

See the step by step solution

## Part (a) Step 1: Given information

We are given that,

Resistance of resistor is,

Inductance of inductor is,

Capacitance of capacitor is,

Frequency is,

Peak voltage is,

And

## Part (a) Step 2: Simplify

We know that inductive reactance is,

And capacitive reactance is,

And phase angle is,

Peak current is,

As instantaneous emf is given as,

Now, for

Equation becomes,

Instantaneous current is,

## Part (b) Step1: Given information

We are given that, and is decreasing

## Part (b) Step 2: Simplify

We have,

At

Equation becomes,

Therefore instantaneous current is,