/*! 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} Q. 6 An equilateral triangle 8.0cm聽o... [FREE SOLUTION] | 91影视

91影视

An equilateral triangle 8.0cmon a side is in a 5.0mT uniform magnetic field. The magnetic flux through the triangle is 6.0Wb. What is the angle between the magnetic field and an axis perpendicular to the plane of the triangle?

Short Answer

Expert verified

The angle between the magnetic field and an axis perpendicular to the plane of the triangle,=64

Step by step solution

01

The magnetic flux 

A magnetic flux seems to be the magnitude of magnetic field which passes through some kind of ring of area A. If the magnetic field lies straight towards the plane's normal, This magnetic flux was provided by

m=BA 1

The magnetic flux, however, would be supplied by if the magnetic field forms an angular position only with planes.

m=BAcos 2

02

The area of the triangle

The entire area of a triangle is equal to half of it's own base times its height. The Pythagoras equation is used to compute the altitude.

h=(8cm)2(4cm)2=43cm

Therefore the area of a triangle,

A=12bh=12(0.08m)43102m=2.77103m2

Then align the equation 2for localid="1648903666492" to obtain

=cos1mBA (3)

03

The angle θ

Then put the data for A,mand Bto the equation(3) to obtain role="math" localid="1648903903568"

=cos1mBA

=cos16106Wb5103T2.77103m2

=64

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 solenoid is wound as shown in FIGURE EX30.10.

a. Is there an induced current as magnet 1 is moved away from the solenoid? If so, what is the current direction through resistor R ?

b. Is there an induced current as magnet 2 is moved away from the solenoid? If so, what is the current direction through resistor R?

Does the loop of wire in FIGURE have a clockwise current, a counterclockwise current, or no current under the following circumstances? Explain.

a. The magnetic field points out of the page and is increasing.

b. The magnetic field points out of the page and is constant.

c. The magnetic field points out of the page and is decreasing

The switch in FIGURE P30.77 has been open for a long time. It is closed at t=0s.

a. After the switch has been closed for a long time, what is the current in the circuit? Call this current I0.

b. Find an expression for the current Ias a function of time. Write your expression in terms of I0,,R,andL.

c. Sketch a current-versus-time graph from t=0suntil the current is no longer changing.

Your camping buddy has an idea for a light to go inside your tent. He happens to have a powerful and heavy horseshoe magnet that he bought at a surplus store. This magnet creates a 0.20Tfield between two pole tips 10cmapart. His idea is to build the hand-cranked generator shown in FIGURE .He thinks you can make enough current to fully light a 1.0lightbulb rated at 4.0W. That鈥檚 not super bright, but it should be plenty of light for routine activities in the tent.

a. Find an expression for the induced current as a function of time if you turn the crank at frequency f. Assume that the semicircle is at its highest point at t=0s.

b. With what frequency will you have to turn the crank for the maximum current to fully light the bulb? Is this feasible?

The magnetic field in FIGURE EX30.19 is decreasing at the rate 0.10T/s. What is the acceleration (magnitude and direction) of a proton initially at rest at points a to d?

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.