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Chapter 32: Q. 9 (page 905)
The current in a series RLC circuit lags the EMF by . You cannot change the EMF. What two different things could you do to the circuit that would increase the power delivered to the circuit by the EMF?
Increasing capacitive reactance or decreasing inductive reactance.
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A capacitor is connected across an oscillating emf. The peak current through the capacitor is What is the peak current if:
a. The capacitance is doubled?
b. The peak emf is doubled?
c. The frequency is doubled?
A resistor is connected to an AC source with . What is the peak current through the resistor if the emf frequency is (a) ? (b) ?
For the circuit of FIGURE EX32.32,
a. What is the resonance frequency, in both rad/s and Hz?
b .Find and at resonance.
c. How can be larger than ? Explain.
A series circuit is built with a role="math" localid="1650111235060" resistor and a long,diameter solenoid with turns of wire. What is the peak magnetic flux through the solenoid if the circuit is driven by a source?
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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