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Chapter 22: Q6CP (page 917)

When the magnet is moved very far away, how much flux is inside the ring compared to the original flux 桅0? How much of this flux is due to the current in the ring?

Short Answer

Expert verified

The net magnetic flux remains the same as the original flux.

Step by step solution

01

A concept:

Electric flux is the rate at which an electric field flows through a given area. Electric flux is directly proportional to the number of electric field lines passing through the virtual surface.

02

Diagram:

Consider a bar magnet and the conducting ring is shown in the following figure.

03

The flux due to the current in the ring:

The magnetic field is induced within the ring when a current is passing through it. Give magnetic flux in the ring is桅0 . After a bar magnet is moving far away from the ring, the magnetic flux remains the same as桅0 .

If you move the magnet away from the ring, then the flux passing through the ring decreases.

Thus, the induced current is developed in the ting. This induced current develops induced magnetic flux in the same amount, which opposes the change in the origin flux. Hence, the net magnetic flux remains the same as the original flux.

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Most popular questions from this chapter

Two coils of wire are near each other, positioned on a common axis (Figure 22.57). Coil 1 is connected to a power supply whose output voltage can be adjusted by turning a knob so that the current I1in coil 1 can be varied, and I1is measured be ammeter 1.

Current I2in coil 2 is measured by ammeter 2. The ammeters have needles that deflect positive or negative depending on the direction of current passing through the ammeter, and ammeters read positive if conventional current flows into the + terminal. Figure 22.58 is a graph of I1vs. time. Draw a graph of I2vs. time over the same time interval. Explain your reasoning.

Two metal rings lie side-by-side on a table (Figure 22.59). The current in the left ring runs clockwise and is increasing with time, so a current runs in the right ring. Does this current run clockwise or counterclockwise? Explain, using a diagram. (Hint: Think carefully about the direction of magnetic field in the right ring produced by the left ring, taking into consideration what sections of the left ring are closest.)

In Figure 22.72 a toroid has a rectangular cross section with an inner radius r1=9cm, an outer radius r2=12cm, and a height h=5cm, and it is wrapped around by many densely packed turns of current-carrying wire (not shown in the diagram). The direction of the magnetic field inside the windings is shown on the diagram. There is essentially no magnetic field outside the windings. A wire is connected to a sensitive ammeter as shown.

The resistance of the wire and ammeter is R=1.4cm.

The current in the windings of the toroid is varied so that the magnetic field inside the windings, averaged over the cross section, varies with time as shown in Figure 22.73:

Make a careful graph of the ammeter reading, including sign, as a function of time. Label your graph, and explain the numerical aspects of the graph, including signs.

A uniform, non-time-varying magnetic field of 3 T points 300 away from the perpendicular to the plane of a rectangular loop of wire 0.1 m by 0.2m (Figure 22.28). The loop as a whole is moved in such a way that it maintains its shape and its orientation in the uniform magnetic field. What is the emf around the loop during this move? In 0.1s the loop in Figure 22.28 is stretched to be 0.12m by 0.22 m while keeping the centre of the loop in one place. What is the average emf around the loop during this time?

what is the oscillation frequency of an LC circuit whose capacitor has a capacitance of 1渭F and whose inductor has an inductance of 1mH? (Both of these are fairly typical values for capacitors and inductors in electronic circuits. See Checkpoint 7 for a numerical example of inductance).
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