/*! 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} Q31E In the circuit shown in Fig. E25... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

In the circuit shown in Fig. E25.30, the 16.0-V battery is removed and reinserted with the opposite polarity, so that its negative terminal is now next to point a. Find (a) the current in the circuit (magnitude anddirection); (b) the terminal voltage Vbaof the 16.0-V battery; (c) the potential difference Vacof point awith respect to point c. (d) Graph the potential rises and drops in this circuit (see Fig. 25.20).

Short Answer

Expert verified
  1. The current in the circuit is 1.41 A.
  2. The terminal voltage Vbaof the 16.0 V battery is
  3. The potential difference Vacof point a with respect to point c is
  4. The required graph is shown.

Step by step solution

01

  (a) Determination of the current in the circuit.

The new circuit is,

The current flows from + terminal to – terminal, the current will flow the clockwise direction.

Evaluate the sum of potentials and put it equal to zero,

+16.0V+8.0V-l(1.6Ω+5Ω+1.4Ω+9.0Ω)=0l=+16.0V+8.0V1.6Ω+5Ω+1.4Ω+9.0Ω=24.0V17.0Ω=1.41A

Thus, the current flow through the circuit is 1.41A. Here, both the batteries are driving the current on the clockwise direction.

02

(b) Determination of the terminal voltage Vab of the 16.0 V battery.

Take voltage at point a and b as Vaand Vbrespectively.

Va=Vb+16.0V-l(1.6Ω)So,Va-Vb=Vab=-16.0V+(1.41A)(1.6Ω)=13.7V.Thus,thevoltageVabis-13.7V.

03

(c) Determination of the potential difference Vac of point a with respect to point c.

Repeat similar calculation as part (b),

Vc=-Va+16.0V-l(1.6Ω)-l(9.0Ω)So,Vac=-16.0V+15.0V=-1.0VThus,thevoltageVacis-1.0V.

04

 Graph for the potential rises and drops in this circuit.

The graph is sketched by taking point a as zero potential.

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 91Ó°ÊÓ!

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

In the circuit of Fig. E25.30, the 5.0 Ω resistor is removed and replaced by a resistor of unknown resistance R. When this is done, an ideal voltmeter connected across the points band creads 1.9 V. Find (a) the current in the circuit and (b) the resistance R. (c) Graph the potential rises and drops in this circuit (see Fig. 25.20).

Ordinary household electric lines in North America usually operate at 120 V . Why is this a desirable voltage, rather than a value considerably larger or smaller? On the other hand, automobiles usually have 12 V electrical systems. Why is this a desirable voltage?

A 1.50- μF capacitor is charging through a 12.0-Ω resistor using a 10.0-V battery. What will be the current when the capacitor has acquired14of its maximum charge? Will it be14of the maximum current?

Small aircraft often have 24 V electrical systems rather than the 12 V systems in automobiles, even though the electrical power requirements are roughly the same in both applications. The explanation given by aircraft designers is that a 24 V system weighs less than a 12 V system because thinner wires can be used. Explain why this is so.

In the circuit shown in Fig. E26.18,ε=36.V,R1=4.0Ω,R2=6.0Ω,R3=3.0Ω(a) What is the potential difference Vab between points a and b when the switch S is open and when S is closed? (b) For each resistor, calculate the current through the resistor with S open and with S closed. For each resistor, does the current increase or decrease when S is closed?

See all solutions

Recommended explanations on Physics Textbooks

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.