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Chapter 30: Q. 7 (page 869)

What is the magnetic flux through the loop shown in FIGURE EX30.7?

Short Answer

Expert verified

The magnetic flux through the loop,桅m=(abB)Wb

Step by step solution

01

The magnetic flux  

A magnetic flux桅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

localid="1648909960209" 桅m=BA 1

02

The area of the loop

Here Bdenotes the magnetic field as well as Adenotes the substring circumference. The magnetic flux is 0 beyond the selected site. The magnetic field mainly passes into such a rectangle, which has 2 faces aand b. The magnetic flux is zero throughout the ring. As a result, the total area is

role="math" localid="1648905895737" A=ab

03

The magnetic flux through the loop

To calculate total magnetic flux, use the formula of A

桅m=BA=B(ab)=(abB)Wb

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Most popular questions from this chapter

You鈥檝e decided to make the magnetic projectile launcher shown in FIGURE for your science project. An aluminum bar of length lslides along metal rails through a magnetic fieldB.The switch closes at t=0s, while the bar is at rest, and a battery of emf Ebatstarts a current flowing around the loop. The battery has internal resistance r. The resistances of the rails and the bar are effectively zero.

a. Show that the bar reaches a terminal speed Vterm, and find an expression for Vterm.

b. Evaluate EbatforVterm=1.0V,r=0.10鈩�,l=6.0cmandB=0.50T.

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A 2.0 mH inductor is connected in parallel with a variable capacitor. The capacitor can be varied from 100 pF to 200 pF. What is the range of oscillation frequencies for this circuit?

69. II The current through inductance Lis given byI=I0sin蝇t .

CALC a. Find an expression for the potential difference螖VL across the inductor.

b. The maximum voltage across the inductor is 0.20Vwhen L=50渭Hand f=500kHz. What isI0 ?

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a. What is the current direction in the loop? Explain.

b. Is there a magnetic force on the loop? If so, in which direction? Explain.

Hint: A current loop is a magnetic dipole.

c. Is there a force on the magnet? If so, in which direction?
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