Chapter 32: Q.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 $6.0 V$ . What is the value of the inductance L?

Short Answer

Expert verified

The value of Inductance is $L = 1.38 m H$

Step by step solution

Given information

We have been given that

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

Value of peak current $(I_{\circ}) = 65 m A$

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

We need to find out the inductance of an inductor connected to an oscillator

Detailed solution

As we know that Inductive Reactance; $X_{L} = 2 π f L$ where f is frequency of oscillator and L is inductance

$\Rightarrow L = \frac{X_{L}}{2 π f} . . . . . . (1)$

Also,

$X_{L} = \frac{V_{m a x}}{I_{m a x}} \Rightarrow X_{L} = \frac{\sqrt{2} V_{r m s}}{I_{m a x}} . . . . . . (2)$ where $V_{r m s} = 6 V; I_{m a x} = 65 m A$

On Putting (2) in (1) we get,

localid="1649880677194" width="356">L=2VrmsImax(2πf)=2×665×10-3×2×3.14×15×1000L=1.38mH

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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 $6.0 V$ . What is the value of the inductance L?

Short Answer

Step by step solution

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Detailed solution

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An inductor is connected to a 15kHzoscillator. The peak current is 65mA when the rms voltage is 6.0V. What is the value of the inductance L?

Short Answer

Step by step solution

Given information

Detailed solution

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 $6.0 V$ . What is the value of the inductance L?