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Q. 52

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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 draws acurrent when attached to a source. What are (a) the , (b) the phase angle and (c) the average power loss?

a) The is

b) The 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 the resistor of , a inductor , a capacitor are there in circuit . We are given that current of and frequency of source.

We need to find .

Part(a) Step 2: Simplify 

Firstly we will find inductive reactance ,

similarly we will find capacitive reactance ,

Impedance ,

We also know that ,

Part(b) Step 1: Given information 

We are given that the resistor of , a inductor , a capacitor are there in circuit . We are given that current of and frequency of source.

We need to find phase angle .

Part(b) Step 2: Simplify 

Firstly we will find inductive reactance ,

Similarly we will find capacitive reactance ,

Phase angle is given by ,

Part(c) Step 1: Given information 

We are given that the resistor of , a inductor , a capacitor are there in circuit . We are given that current of and frequency of source.

We need to find average power loss.

Part(c) Step 2: Simplify

We will calculate power factor here which is given by ,

then average power lose is given by ,

average power loss =

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