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:A uniform magnetic field of 3 T points300 away from the perpendicular to the plane of a rectangular loop of wire 0.1 m by 0.2 m (Figure 22.14). What is the magnetic flux on this loop?

Short Answer

Expert verified

The value of the magnetic field is0.052T.m2 .

Step by step solution

01

Write the given data from the question.

The angle is 300 .

The dimension of the rectangular wire is 0.1 m by 0.2 m.

02

Determine the formula

Consider the formula for the magnetic flux in the loop as:

ϕmag=BdA

Consider the simplified form of the equation is:

ϕmag=BAcosθ

03

Determine the value of the magnetic field.

Substitute the values in the formula for the magnetic field and solve as:

ϕmag=3 T0.01 m×0.2 mcos30°ϕmag=3 T0.02 m2cos30°ϕmag=0.052 Tm2

Therefore, the value of the magnetic field is0.052 Tm2

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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.

Question: A thin rectangular coil lies flat on a low-friction table (Figure 22.75). A very long straight wire also lies flat on the table, a distance zfrom the coil. The wire carries a conventional current lto the right as shown, and this current is decreasing: I=a-bt, where tis the time in seconds, and aand bare positive constants. The coil has length Land width w, where w << z. It has Nturns of wire with total resistance R.

What are the initial magnitude and direction of the nonzero net force that is acting on the coil?You can neglect friction. Explain in detail. If you must make simplifying assumptions, state clearly what they are, but bear in mind that the net force is not zero.

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?

A bar magnet is dropped through a vertical copper tube and is observed to fall very slowly, despite the fact that mechanical friction between the magnet and the tube is negligible (Figure 22.61). Explain carefully, including adequate diagrams.

A wire of resistance 10 Ω and length 2.5 m is bent into a circle that is concentric with and encircles a solenoid in which the magnetic flux changes from 5T.m2to 3T.m2in 0.1 s. What is the emf in the wire? What is the non-Coulomb electric field in the wire? What is the current in the wire?

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