Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 4: Q33E (page 715)

A point charge is at the origin. With this point charge as the source point, what is the unit vectorr^in the direction of the field point (a) at x = 0, y = -1.35 m; (b) at x = 12.0 cm, y = 12.0 cm; (c) at x = -1.10 m, y = 2.60 m? Express your results in terms of the unit vectorsi^andj^.

Short Answer

Expert verified
  1. r^=−j^
  2. r^=22i^+22j^
  3. r^=−0.390i^+0.921j^

Step by step solution

01

Step 1:

As per the formula;

r^=r→|r→|r^=cosθi^+sinθj^r^=0i^−1.35j^02+(1.35)2=11.35(0i^−1.35j^)=−j^

02

Step 2:

θ=tan−1yx=tan−10.1200.120=π4r^=cosπ4i^+sinπ4j^r^=22i^+22j^

03

Step 3:

r^=−1.10i^+2.60j^(−1.10)2+(2.60)2=−0.390i^+0.921j^

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

BIO Transmission of Nerve Impulses. Nerve cells transmit electric

signals through their long tubular axons. These signals propagate due to a

sudden rush of Na+ions, each with charge +e, into the axon. Measurements

have revealed that typically about 5.6×1011Na+ions enter each meter of the

axon during a time of . What is the current during this inflow of charge

in a meter of axon?

(See Discussion Question Q25.14.) An ideal ammeter A is placed in a circuit with a battery and a light bulb as shown in Fig. Q25.15a, and the ammeter reading is noted. The circuit is then reconnected as in Fig. Q25.15b, so that the positions of the ammeter and light bulb are reversed. (a) How does the ammeter reading in the situation shown in Fig. Q25.15a compare to the reading in the situation shown in Fig. Q25.15b? Explain your reasoning. (b) In which situation does the light bulb glow more brightly? Explain your reasoning.

A horizontal rectangular surface has dimensions 2.80cmby 3.20cmand is in a uniform magnetic field that is directed at an angle of 30.0°above the horizontal. What must the magnitude of the magnetic field be to produce a flux of 3.10×10-4Wb through the surface?

In the circuit in Fig. E25.47, find (a) the rate of conversion of internal (chemical) energy to electrical energy within the battery; (b) the rate of dissipation of electrical energy in the battery; (c) the rate of dissipation of electrical energy in the external resistor.

When switch Sin Fig. E25.29 is open, the voltmeter V reads 3.08 V. When the switch is closed, the voltmeter reading drops to 2.97 V, and the ammeter A reads 1.65 A. Find the emf, the internal resistance of the battery, and the circuit resistance R. Assume that the two meters are ideal, so they don’t affect the circuit.

Fig. E25.29.
See all solutions

Recommended explanations on Physics Textbooks

Modern Physics

Read Explanation

Fluids

Read Explanation

Measurements

Read Explanation

Electricity

Read Explanation

Radiation

Read Explanation

Work Energy and Power

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