Figure 31-36 shows an ac generator connected to a black

Chapter , Problem 61

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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 #(t) ! (75.0 V) sin vdt and i(t) ! (1.20 A) sin(vdt $ 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 dont you need to know vd to answer all these questions?

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