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Q. 51

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 926

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Short Answer

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

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

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