SSM WWW Figure 31-36 shows an ac generator connected to a “black box” through a pair of terminals. The box contains an RLC circuit, possibly even a multiloop circuit, whose elements and connections we do not know. Measurements outside the box reveal that Figure 31-36 Problem 61. ℰ(t) = (75.0 V) sin ω d t and i ( t ) = (1.20 A) sin( ω d t + 42.0°). (a) What is the power factor? (b) Does the current lead or lag the emf? (c) Is the circuit in the box largely inductive or largely capacitive? (d) Is the circuit in the box in resonance? (e) Must there be a capacitor in the box? (f) An inductor? (g) A resistor? (h) At what average rate is energy delivered to the box by the generator? (i) Why don’t you need to know ω d to answer all these questions?
SSM WWW Figure 31-36 shows an ac generator connected to a “black box” through a pair of terminals. The box contains an RLC circuit, possibly even a multiloop circuit, whose elements and connections we do not know. Measurements outside the box reveal that Figure 31-36 Problem 61. ℰ(t) = (75.0 V) sin ω d t and i ( t ) = (1.20 A) sin( ω d t + 42.0°). (a) What is the power factor? (b) Does the current lead or lag the emf? (c) Is the circuit in the box largely inductive or largely capacitive? (d) Is the circuit in the box in resonance? (e) Must there be a capacitor in the box? (f) An inductor? (g) A resistor? (h) At what average rate is energy delivered to the box by the generator? (i) Why don’t you need to know ω d to answer all these questions?
SSM WWW Figure 31-36 shows an ac generator connected to a “black box” through a pair of terminals. The box contains an RLC circuit, possibly even a multiloop circuit, whose elements and connections we do not know. Measurements outside the box reveal that
Figure 31-36 Problem 61.
ℰ(t) = (75.0 V) sin ωdt
and
i(t) = (1.20 A) sin(ωdt + 42.0°).
(a) What is the power factor? (b) Does the current lead or lag the emf? (c) Is the circuit in the box largely inductive or largely capacitive? (d) Is the circuit in the box in resonance? (e) Must there be a capacitor in the box? (f) An inductor? (g) A resistor? (h) At what average rate is energy delivered to the box by the generator? (i) Why don’t you need to know ωd to answer all these questions?
A resistor (R = 9.00 x 102 Ω), a capacitor (C 5 0.250 µF),and an inductor (L = 2.50 H) are connected in series across a2.40 x 102 - Hz AC source for which ΔVmax = 1.40 x 102 V.Calculate (a) the impedance of the circuit, (b) the maximumcurrent delivered by the source, and (c) the phase anglebetween the current and voltage. (d) Is the current leadingor lagging the voltage?
A 1.50 mF capacitor is connected to an ac generator with m = 30.0 V. What is the amplitude of the resulting alternating current if the frequency of the emf is (a) 1.00 kHz and (b) 8.00 kHz?
In an LC circuit, the energy in the capacitor is 25.0 percent of the energy in the inductor at any given time t. What fraction of a period must pass after the capacitor is fully charged (at t=0) for this situation to occur?
1. 0.217
2. 0.152
3. 0.167
4. 0.176
Essential University Physics: Volume 2 (3rd Edition)
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