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Chapter 30: Q.2 (page 869)

I A potential difference of 0.050Vis developed across the localid="1650925760420" 10−cmlong wire of FIGURE EX30.2 as it moves through a magnetic field perpendicular to the page. What are the strength and direction(in or out) of the magnetic field?

Short Answer

Expert verified

The strength of magnetic field is0.10T , and the direction is inside the page.

Step by step solution

01

Step 1. Given information

Potential differencee=0.05V

Length of wire=10cm=0.1m

Speed(v)=5.0m/s

Magnetic field is perpendicular to the page.

02

Step 2. Explanation

The potential difference is calculated using the formula

e=lvB0.05=5×0.1×BB=0.1T

To direction of magnetic field has been calculated by the right-hand thumb rule. The positive charge, given in figure, experienced a magnetic force in left direction. The velocity is in upward direction; therefore, by right hand thumb rule, we find that magnetic field direction is inside the page.

The strength of magnetic field is 0.10T, and the direction is inside the page.

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Most popular questions from this chapter

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 1.0Ωlightbulb rated at 4.0W. That’s 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?

FIGURE EX30.5 shows a 10cm×10cmsquare bent at a 90∘angle. A uniform 0.050Tmagnetic field points downward at a 45∘angle. What is the magnetic flux through the loop?

9. Is the magnetic field strength in FIGURE Q30.9 increasing, decreasing, or steady? Explain.

86. III High-frequency signals are often transmitted along a coaxial CALC cable, such as the one shown in FIGURE CP30.86. For example, the cable TV hookup coming into your home is a coaxial cable. The signal is carried on a wire of radius while the outer conductor of radius is grounded. A soft, flexible insulating material fills the space between them, and an insulating plastic coating goes around the outside.

a. Find an expression for the inductance per meter of a coaxial cable. To do so, consider the flux through a rectangle of length that spans the gap between the inner and outer conductors.

b. Evaluate the inductance per meter of a cable havingr1=0.50mm andr2=3.0mm .

To determine the inductance of an unmarked inductor, you set up the circuit shown in FIGURE. After moving the switch fromatobat t=0s, you monitor the resistor voltage with an oscilloscope. Your data are shown in the table:

Use an appropriate graph of the data to determine the inductance.
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