Chapter 32: Q. 26 (page 925)

An inductor has a peak current of $330 μ A$ when the peak voltage at $45 M H z$ is $2.2 V$
a. What is the inductance?
b. If the peak voltage is held constant, what is the peak current at $90 M H z$ ?

Short Answer

Expert verified

(a) We get value of Inductance as $L = 0.23 m H$

(b) When we held peak voltage constant we get peak current, $I = 0.0169 m A$

Step by step solution

Part (a) Step 1 : Given information

We have been given that

Peak current $(I_{\circ}) = 330 μ A = 33 \times 10^{- 5} A$

Peak voltage $(V_{\circ}) = 2.2 V$

Frequency localid="1650176753268" $(f) = 45 M H z = 45 \times 10^{6} H z$

We need to find out the inductance when peak current and voltage at a particular frequency are given to us.

Part(a) Step 2 : Explanation

As we know,

$X_{L} = ω L = 2 π f L \Rightarrow \frac{V}{I} = 2 π f L \Rightarrow L = \frac{V}{2 π f I} = \frac{2.2}{2 \times 3.14 \times 45 \times 10^{6} \times 33 \times 10^{- 5}} \Rightarrow L = 2.3 \times 10^{- 4} H = 0.23 m H$

Part (b) Step 1 : Given Information

We have been given that

Peak voltage $(V_{\circ}) = 2.2 V$

Frequency $(f) = 90 M H z = 90 \times 10^{6} H z$

We need to find out the peak current value at 90 MHz

Part(b) Step 2 : Explanation

We Know ,

$V = I X_{L} = I (ω L) \Rightarrow 2.2 = I (2 π \times 90 \times 10^{6} \times L) \Rightarrow I = 169 \times 10^{- 7} A = 0.0169 m A$

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An inductor has a peak current of $330 μ A$ when the peak voltage at $45 M H z$ is $2.2 V$
a. What is the inductance?
b. If the peak voltage is held constant, what is the peak current at $90 M H z$ ?

Short Answer

Step by step solution

Part (a) Step 1 : Given information

Part(a) Step 2 : Explanation

Part (b) Step 1 : Given Information

Part(b) Step 2 : Explanation

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An inductor has a peak current of 330μA when the peak voltage at45MHzis 2.2Va. What is the inductance?b. If the peak voltage is held constant, what is the peak current at 90MHz?

Short Answer

Step by step solution

Part (a) Step 1 : Given information

Part(a) Step 2 : Explanation

Part (b) Step 1 : Given Information

Part(b) Step 2 : Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Radiation

Measurements

Space Physics

Energy Physics

Electrostatics

Modern Physics

Study anywhere. Anytime. Across all devices.

An inductor has a peak current of $330 μ A$ when the peak voltage at $45 M H z$ is $2.2 V$
a. What is the inductance?
b. If the peak voltage is held constant, what is the peak current at $90 M H z$ ?