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Chapter 30: Q. 13 (page 869)
13. Rank in order, from largest to smallest, the three time constants to for the three circuits in FIGURE Q30.13. Explain.
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The rectangular loop in FIGURE has resistance. What is the induced current in the loop at this instant?
A rectangular metal loop with resistance is placed next to one wire of the RC circuit shown in . The capacitor is charged to with the polarity shown, then the switch is closed at .
a. What is the direction of current in the loop for ?
b. What is the current in the loop at ? Assume that
only the circuit wire next to the loop is close enough to produce a significant magnetic field.
A 10-turn coil of wire having a diameter of 1.0 cm and a resistance of is in a magnetic field, with the coil oriented for maximum flux. The coil is connected to an uncharged capacitor rather than to a current meter. The coil is quickly pulled out of the magnetic field. Afterward, what is the voltage across the capacitor?
An square loop is halfway into a magnetic CALC field perpendicular to the plane of the loop. The loop's mass is and its resistance is . A switch is closed at , causing the magnetic field to increase fromtoin .
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?
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 field between two pole tips apart. His idea is to build the hand-cranked generator shown in FIGURE .He thinks you can make enough current to fully light a lightbulb rated at . 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 . Assume that the semicircle is at its highest point at .
b. With what frequency will you have to turn the crank for the maximum current to fully light the bulb? Is this feasible?
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