Chapter 32: Q. 23 (page 924)

The peak current through an inductor is $10 m A$ . What is the peak current if
a. The emf frequency is doubled?
b. The emf peak voltage is doubled (at the original frequency)

Short Answer

Expert verified

(a) Current is $5 m A$

(b) Current is $20 m A$

Step by step solution

Part (a) Step 1: Given information

We have been given that,

Current through inductor is $I_{0} = 10 m A$

Part (a) Step 2: Simplify

Let Voltage is $V_{0}$

And Frequency is $f_{0}$

And Inductance is $L$

And Inductive reactance is localid="1649934635236" $X_{L} = 2 {πf}_{0} L$

Therefore, Current is

$I_{0} = \frac{V_{0}}{2 {πf}_{0} L}$ $I_{0} = \frac{V_{0}}{2 {πf}_{0} L}$

Now, Frequency is doubled i.e. $f = 2 f_{0}$

Therefore, Current is,

localid="1649935758169" $I = \frac{V_{0}}{2 πfL} I = \frac{V_{0}}{2 π \times 2 f_{0} L} I = \frac{I_{0}}{2} I = \frac{10}{2} I = 5 mA$

Hence, Current is $5 m A$

Part (b) Step 1: Given information

We have been given that,

Current through inductor is $I_{0} = 10 m A$

Part (b) Step 2: Simplify

Let Voltage is $V_{0}$

And inductive reactance is $X_{L}$

Therefore, Current is

$I_{0} = \frac{V_{0}}{X_{L}}$

Now, Voltage is $V = 2 V_{0}$

Therefore, Current is,

$I = \frac{V}{X_{L}} I = \frac{2 V_{0}}{X_{L}} I = 2 I_{0} I = 2 \times 10 I = 20 m A$

Hence, current is $20 m A$

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The peak current through an inductor is $10 m A$ . What is the peak current if
a. The emf frequency is doubled?
b. The emf peak voltage is doubled (at the original frequency)

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Simplify

Part (b) Step 1: Given information

Part (b) Step 2: Simplify

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The peak current through an inductor is 10mA. What is the peak current ifa. The emf frequency is doubled?b. The emf peak voltage is doubled (at the original frequency)

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Simplify

Part (b) Step 1: Given information

Part (b) Step 2: Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electromagnetism

Conservation of Energy and Momentum

Mechanics and Materials

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Classical Mechanics

Study anywhere. Anytime. Across all devices.

The peak current through an inductor is $10 m A$ . What is the peak current if
a. The emf frequency is doubled?
b. The emf peak voltage is doubled (at the original frequency)