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Q. 51

Expert-verified
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 circuit consists of a resistor, a inductor, and a capacitor. It is attached to a power line. What are (a) the peak current, (b) the phase angle , and (c) the average power loss?

a) The peak current is

b) Phase angle is

c) The average power loss is

See the step by step solution

## Part(a) Step 1: Given information

We are given that resistor , a inductor, and a capacitor are there in circuit. We are given that frequency of power line source equal to and voltage .

We need to find peak current.

## Part(a) Step 2: Simplify

Firstly we will find inductive reactance ,

then we will capacitive reactance ,

We will calculate impedance by putting the value of

Peak current =

## Part(b) Step 1: Given information

We are given that resistor ,a inductor, and a capacitor are there in circuit. We are given that frequency of power line source equal to and voltage .

We need to find phase angle .

## Part(b) Step 2: Simplify

Firstly we will find inductive reactance ,

then we will capacitive reactance,

Phase angle is given by ,

## Part(c) Step 1: Given information

We are given that resistor, a inductor, and a capacitor are there in circuit. We are given that frequency of power line source equal to and voltage .

We need to find average power loss.

## Part(c) Step 2: Simplify

Firstly we need to find ,

then we can find ,

So from here we get,

Power factor ,

Average power loss