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Chapter 23: Q19PE (page 860)
At what speed must the sliding rod in Figure 23.11move to produce an emf of 1.00 Vin a 1.50 Tfield, given the rod鈥檚 length is 30.0 cm?
The obtained speed is: 2.22 m/s.
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Derive an expression for the current in a system like that in figure below, under the following conditions. The resistance between the rails is R , the rails and the moving rod are identical in cross section A and have the same resistivity 蟻. The distance between the rails is l, and the rod moves at constant speed v perpendicular to the uniform field B. At time zero, the moving rod is next to the resistance R.
A precision laboratory resistor is made of a coil of wire \(1.50cm\) in diameter and \(4.00cm\) long, and it has \(500\) turns. (a) What is its self-inductance? (b) What average emf is induced if the \(12.0A\) current through it is turned on in \(5.00ms\) (one-fourth of a cycle for \(50Hz\) AC)? (c) What is its inductance if it is shortened to half its length and counter wound (two layers of \(250\) turns in opposite directions)?
A\({\rm{0}}{\rm{.250 m}}\)radius,\({\rm{500}}\)-turn coil is rotated one-fourth of a revolution in\({\rm{4}}{\rm{.17 ms}}\), originally having its plane perpendicular to a uniform magnetic field. (This is\({\rm{60 rev/s}}\).) Find the magnetic field strength needed to induce an average emf of\({\rm{10,000 V}}{\rm{.}}\)
An RLC series circuit has a resistor, a inductor, and a capacitor. (a) Find the circuit's impedance at . (b) Find the circuit's impedance at . (c) If the voltage source has , what isat each frequency? (d) What is the resonant frequency of the circuit? (e) What is at resonance?
The Tethered Satellite discussed in this module is producing 5.00 kV, and a current of 10.0 A flows. (a) What magnetic drag force does this produce if the system is moving at 7.80 km/s? (b) How much kinetic energy is removed from the system in 1.00 h, neglecting any change in altitude or velocity during that time? (c) What is the change in velocity if the mass of the system is 100,000 kg? (d) Discuss the long-term consequences (say, a week-long mission) on the space shuttle鈥檚 orbit, noting what effect a decrease in velocity has and assessing the magnitude of the effect.
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