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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,Φm=(abB)Wb

Step by step solution

01

The magnetic flux  

A magnetic fluxΦseems 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" Φm=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

Φm=BA=B(ab)=(abB)Wb

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Most popular questions from this chapter

A100turn, 8.0cmdiameter coil is made of 0.50mmdiameter copper wire. A magnetic field is parallel to the axis of the coil. At what rate must Bincrease to induce a 2.0Acurrent in the coil?

A small, 2.0-mm-diameter circular loop with R=0.020Ωis at the center of a large 100-mm-diameter circular loop. Both loops lie in the same plane. The current in the outer loop changes from +1.0Ato -1.0Ain 0.10s. What is the induced current in the inner loop?

An LC circuit has a 10 mH inductor. The current has its maximum value of 0.60 A at t = 0 s. A short time later the capacitor reaches its maximum potential difference of 60 V. What is the value of the capacitance?

A spherical balloon with a volume of 2.5Lis in a 45mTuniform, vertical magnetic field. A horizontal elastic but conducting wire with 2.5Ωresistance circles the balloon at its equator. Suddenly the balloon starts expanding at 0.75L/s. What is the current in the wire 2.0slater?

An 8.0cm×8.0cmsquare loop is halfway into a magnetic CALC field perpendicular to the plane of the loop. The loop's mass is and its resistance is 0.010Ω. A switch is closed at t=0s, causing the magnetic field to increase from0to1.0Tin0.010s .

a. What is the induced current in the square loop?

b. With what speed is the loop "kicked" away from the magnetic field?

Hint: What is the impulse on the loop?
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