Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 30: Q. 36 (page 871)

The switch in FIGURE EX30.36has been open for a long time. It is closed at t=0s.

a. What is the current through the battery immediately after the switch is closed?

b. What is the current through the battery after the switch has been closed a long time?

Short Answer

Expert verified

a. Immediately after the switch is closed, current flows through the battery0.5A.

b. Once the switch has been closed for a long period, the current through the battery is1A.

Step by step solution

01

Calculation for after the switch is closed (part a)

(a).

For LRcircuit,

The inductor has zero current when the switch is instantaneously closed at time t=0.

As a result, the current flows through the middle branch, which has a20ωresistance.

So, to get the current via the battery, we apply Ohm's law.

I=εR

10V20Ω=0.5A

02

Calculation for after the switch has been closed a long time (part b) 

(b).

The current goes through the inductor after a lengthy period.

The comparable resistance is supplied by the two resistors20ωand 20ωwhen they are linked in parallel.

1Req=1R1+1R2

Req=120Ω+120Ω-1

To get the current via the battery, we apply Ohm's law.

I=εReq=10V10Ω=1A

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 3.0-cm-diameter, 10-turn coil of wire, located at z=0in thexy-plane, carries a current of 2.5A.A2.0-mm-diameter conducting loop with 2.0*10-4Ωresistance is also in the xyplane at the center of the coil. At t=0s, the loop begins to move along the z-axis with a constant speed of 75m/s. What is the induced current in the conducting loop att=200ms?The diameter of the conducting loop is much smaller than that of the coil, so you can assume that the magnetic field through the loop is everywhere the on-axis field of the coil.

The loop in FIGURE EX30.13 is being pushed into the magnetic field at . The resistance of the loop is0.10Ω. What are the direction and the magnitude of the current in the loop?

A 10-turn coil of wire having a diameter of 1.0 cm and a resistance of 0.20Ωis in a 1.0mT magnetic field, with the coil oriented for maximum flux. The coil is connected to an uncharged 1.0μF capacitor rather than to a current meter. The coil is quickly pulled out of the magnetic field. Afterward, what is the voltage across the capacitor?

67. II FIGURE P30.67 shows the potential difference across a potential difference across a 50mHinductor. The current through the inductor at t=0sis 0.20A. Draw a graph showing the current through the inductor from t=0sto t=40ms

What is the potential difference across a 10 mH inductor if the current through the inductor drops from 150 mA to 50 mA in 10 ms? What is the direction of this potential difference? That is, does the potential increase or decrease along the direction of the current?
See all solutions

Recommended explanations on Physics Textbooks

Quantum Physics

Read Explanation

Astrophysics

Read Explanation

Particle Model of Matter

Read Explanation

Further Mechanics and Thermal Physics

Read Explanation

Engineering Physics

Read Explanation

Wave Optics

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