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Q. 23

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 924

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Short Answer

The peak current through an inductor is . What is the peak current if

a. The emf frequency is doubled?

b. The emf peak voltage is doubled (at the original frequency)

(a) Current is

(b) Current is

See the step by step solution

Step by Step Solution

Part (a) Step 1: Given information 

We have been given that,

Current through inductor is

Part (a) Step 2: Simplify

Let Voltage is

And Frequency is

And Inductance is

And Inductive reactance is

Therefore, Current is

Now, Frequency is doubled i.e.

Therefore, Current is,

Hence, Current is

Part (b) Step 1: Given information 

We have been given that,

Current through inductor is

Part (b) Step 2: Simplify

Let Voltage is

And inductive reactance is

Therefore, Current is

Now, Voltage is

Therefore, Current is,

Hence, current is

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