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Chapter 32: Q. 15 (page 924)
A high-pass RC filter is connected to an AC source with a peak voltage of . The peak capacitor voltage is . What is the resistor voltage?
The resistor voltage is .
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The tuning circuit in an FM radio receiver is a series RLC circuit with a inductor.
a. The receiver is tuned to a station at . What is the value of the capacitor in the tuning circuit?
b. FM radio stations are assigned frequencies every , but two nearby stations cannot use adjacent frequencies. What is the maximum resistance the tuning circuit can have if the peak current at a frequency of , the closest frequency that can be used by a nearby station, is to be no more than of the peak current at ? The radio is still tuned to , and you can assume the two stations have equal strength.
A generator consists of a by rectangular loop with turns of wire spinning at z in a uniform magnetic field. The generator output is connected to a series RC circuit consisting of a resistor and a capacitor. What is the average power delivered to the circuit?
a. Evaluate at emf frequencies
b. Graph versus frequency. Draw a smooth curve through your five points.
A low-pass filter has a crossover frequency Hz.What is if:
a. The resistance is doubled?
b. The capacitance is doubled?
c. The peak emf is doubled?
Commercial electricity is generated and transmitted as three-phase electricity. Instead of a single emf , three separate wires carry currents for the emfs . This is why the long-distance transmission lines you see in the countryside have three parallel wires, as do many distribution lines within a city.
a. Draw a phasor diagram showing phasors for all three phases of a three-phase emf.
b. Show that the sum of the three phases is zero, producing what is referred to as neutral. In single-phase electricity, provided by the familiar electric outlets in your home, one side of the outlet is neutral, as established at a nearby electrical substation. The other, called the hot side, is one of the three phases. (The round opening is connected to ground.)
c. Show that the potential difference between any two of the phases has the rms value where
is the familiar single-phase rms voltage. Evaluate this potential difference for
. Some high-power home appliances, especially electric clothes dryers and hot-water heaters, are designed to operate between two of the phases rather than between one phase and neutral. Heavy-duty industrial motors are designed to operate from all three phases, but full three-phase power is rare in residential or office use.
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