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

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

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

Given information

Detailed solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Classical Mechanics

Space Physics

Turning Points in Physics

Circular Motion and Gravitation

Physics of Motion

Translational Dynamics

Study anywhere. Anytime. Across all devices.

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

Classical Mechanics

Space Physics

Turning Points in Physics

Circular Motion and Gravitation

Physics of Motion

Translational Dynamics

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?