/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q49P The inductor arrangement of Figu... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 30: Q49P (page 899)

The inductor arrangement of Figure, with

L1=30.0mH,L2=50.0mH,L3=20.0mHandL4=15.0mHis to be connected to a varying current source. What is the equivalent inductance of the arrangement?

Short Answer

Expert verified

Leq=59.3mH

Step by step solution

01

Given

L1=30.0mH;L2=50.0mH;L3=20.0mH;L4=15.0mH

02

Understanding the concept

Equivalent inductance forinductors connected in series isthesum of all inductances. And reciprocal of equivalent inductance for parallel connection of inductances isthesum of reciprocals of inductances.

Formulae:

Equivalent inductance forinductors connected inparallel is

1Leq=鈭�n=1N1Ln

Equivalent inductance forinductors connected inseries is

Leq=鈭�n=1NLn

03

Calculate the equivalent inductance of the arrangement

L2and L3are connected in parallel, so their equivalent is given by

1L23=1L2+1L31L23=150+120

Hence,

L23=14.3mH

Now, L23,L1andL4are in series.

Leq=L1+L23+L4Leq=30+14.3+15Leq=59.3mHz

Therefore the equivalent inductance = 59.6mH

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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 with an inductance of2.0 H and a resistance of 10惟is suddenly connected to an ideal battery with 蔚=100V. At 0.10 safter the connection is made, (a) what is the rate at which energy is being stored in the magnetic field? (b) what is the rate at which thermal energy is appearing in the resistance? (c) what is the rate at which energy is being delivered by the battery?

In Fig. 30-63, R=4.0办惟,L=8.0渭贬and the ideal battery has蔚=20v. How long after switch S is closed is the current 2.0 mA?

A toroidal inductor with an inductance of 9.0.mH encloses a volume of 0.0200m3. If the average energy density in the toroid is70.0J/m3, what is the current through the inductor?

In Figure (a), the inductor has 25 turns and the ideal battery has an emf of 16 V. Figure (b) gives the magnetic flux蠁 through each turn versus the current i through the inductor. The vertical axis scale is set by 蠁s=4.0脳10-4Tm2, and the horizontal axis scale is set by is=2.00AIf switch S is closed at time t = 0, at what ratedidtwill the current be changing att=1.5蟿L?

The inductance of a closely packed coil of 400 turnsis 8.0 mH. Calculate the magnetic flux through the coil when the current is 5.0 mA.
See all solutions

Recommended explanations on Physics Textbooks

Fluids

Read Explanation

Magnetism

Read Explanation

Medical Physics

Read Explanation

Kinematics Physics

Read Explanation

Turning Points in Physics

Read Explanation

Space 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.