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Chapter 23: Q13PE (page 860)
Approximately how does the emf induced in the loop in Figure 23.57(b) depend on the distance of the center of the loop from the wire?
The coil must be inversely proportional to the distance.
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A large power plant generates electricity at 12.0 kV. Its old transformer once converted the voltage to 335 kV. The secondary of this transformer is being replaced so that its output can be 750 kV for more efficient cross-country transmission on upgraded transmission lines.
(a) What is the ratio of turns in the new secondary compared with the old secondary?
(b) What is the ratio of new current output to old output (at 335 kV) for the same power? (c) If the upgraded transmission lines have the same resistance, what is the ratio of new line power loss to old?
To receive AM radio, you want an RLC circuit that can be made to resonate at any frequency between\(500\) and\(1650{\rm{ }}kHz\). This is accomplished with a fixed\(1.00{\rm{ }}\mu H\)inductor connected to a variable capacitor. What range of capacitance is needed?
The capacitor in Figure \(23.55\) (a) is designed to filter low-frequency signals, impeding their transmission between circuits. (a) What capacitance is needed to produce a \(100{\rm{ }}k\Omega \) reactance at a frequency of \(120{\rm{ }}Hz\)? (b) What would its reactance be at \(1.00{\rm{ }}mHz\)? (c) Discuss the implications of your answers to (a) and (b).
A plug-in transformer, like that in Figure\(23.29\), supplies\(9.00{\rm{ }}V\)to a video game system.
(a) How many turns are in its secondary coil, if its input voltage is\(120{\rm{ }}V\)and the primary coil has\(400\)turns?
(b) What is its input current when its output is\(1.30{\rm{ }}A\)?
The motor in a toy car is powered by four batteries in series, which produce a total emf of \(6.00V\). The motor draws \(3.00A\) and develops a \(4.50V\) back emf at normal speed. Each battery has a \(0.100\Omega \) internal resistance. What is the resistance of the motor?
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