Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 31: Q82P (page 940)

A 1.50mHinductor in an oscillatingLCcircuit stores a maxi- mum energy of 10.0μJ. What is the maximum current?

Short Answer

Expert verified

The maximum current is0.115A.

Step by step solution

01

Step 1: Given

Umax=100μJ=10×10-6J

L=1.5mH=1.5×10-3H

02

Determining the concept

By using the formula for maximum energy in the LCcircuit and substituting the given values, find the maximum current.

Formulae are as follows:

Umax=12LI2

Where,

U = magnetic energy.

L = inductance of solenoid.

I = current.

03

Determining the maximum current

Umax=12LI2

Rearranging the terms,

I2=2UmaxLI=2UmaxLI=2×10×10-61.5×10-3I=0.005A

Hence,the maximum current is0.005A.

Using the formula for maximum energy stored in the LC circuit, found the maximum current in the circuit.

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!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A coil of inductanceand 88mHunknown resistance and a 0.94μFcapacitor are connected in series with an alternating emf of frequency 930Hz. If the phase constant between the applied voltage and the current is 75°, what is the resistance of the coil?

An alternating emf source with a certain emf amplitude is connected, in turn, to a resistor, a capacitor, and then an inductor. Once connected to one of the devices, the driving frequency fdis varied and the amplitude Iof the resulting current through the device is measured and plotted. Which of the three plots in Fig. 31-22 corresponds to which of the three devices?

Consider the circuit shown in Fig. 31-40. With the switch S1 closed and the other two switches open, the circuit has a time constant τC. With the switch S2closed and the other two switches open, the circuit has a time constant τL . With the switch S3closed and the other two switches open, the circuit oscillates with a period T. Show that T=2πτCτL

What is the maximum value of an ac voltage whose RMS value is 100 V?

An 50.0mHinductor is connected, as in Figure to an ac generator with ∈m=30.0V.(a) What is the amplitude of the resulting alternating current if the frequency of the emf is 1.00kHz? and (b) What is the amplitude of the resulting alternating current if the frequency of the emf is 8.00kHz?

An inductor is connected across an alternating-current generator.
See all solutions

Recommended explanations on Physics Textbooks

Medical Physics

Read Explanation

Wave Optics

Read Explanation

Electricity

Read Explanation

Force

Read Explanation

Nuclear Physics

Read Explanation

Fundamentals of Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free