Chapter 32: Question 25 (page 925)

An inductor is connected to a $15 K H z$ oscillator. The peak current is $65 m A$ when the rms voltage is width="36">6.0V. What is the value of the inductance L?

Short Answer

Expert verified

The value of inductance $(L) = 1.37 \times 10^{- 3} \approx 1.4 \times 10^{- 3}$

Step by step solution

GIVEN INFORMATION:

Frequency of oscillator $(f) = 15 K H z$

peak current $(I_{ο}) = 65 m A$

RMS voltage $(V_{r m s}) = 6.0 V$

Here we need to find the inductance of the inductor through the formula $X_{L} = 2 π f L$ where $X_{L}$ is the inductive reactance of the inductor.

EXPLANATION:

We know that $I_{rms} = \frac{I_{ο}}{\sqrt{2}}$

and $X_{L} = \frac{V_{r m s}}{I_{rms}}$

$= \frac{6 \sqrt{2}}{65 \times 10^{- 3}}$ (substituting values)

$= 130 Ω$

now, $X_{L} = 2 π f L$

$L = \frac{X_{L}}{2 π f}$

$= \frac{130}{2 π \times 15000}$ (Substituting values)

$= 1.37 \times 10^{- 3} H$

$\approx 1.4 \times 10^{- 3} H$

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An inductor is connected to a $15 K H z$ oscillator. The peak current is $65 m A$ when the rms voltage is width="36">6.0V. What is the value of the inductance L?

Short Answer

Step by step solution

GIVEN INFORMATION:

EXPLANATION:

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An inductor is connected to a 15KHzoscillator. The peak current is 65mAwhen the rms voltage is width="36">6.0V. What is the value of the inductance L?

Short Answer

Step by step solution

GIVEN INFORMATION:

EXPLANATION:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

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Study anywhere. Anytime. Across all devices.

An inductor is connected to a $15 K H z$ oscillator. The peak current is $65 m A$ when the rms voltage is width="36">6.0V. What is the value of the inductance L?