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1. An AC generator is connected to a "black box" through a pair of terminals. The box contains an RLC circuit, whose elements and connections we do not know. Measurements outside the box show: v(t) = (75.0 V)sin (wt), and i(t) = (1.20 A)sin (wt + 42º). v (t) li(t) a) Does the current lead or lag the source voltage? b) Is the circuit in the box in resonance? Explain. c) Must there be a capacitor in the box? Explain. d) Must there be an inductor in the box? Explain. e) Must there be a resistor in the box? Explain. f) At what average rate is energy delivered to the box by the generator?

1. An AC generator is connected to a "black box" through a pair of terminals. The box contains an RLC circuit, whose elements and connections we do not know. Measurements outside the box show: v(t) = (75.0 V)sin (wt), and i(t) = (1.20 A)sin (wt + 42º). v (t) li(t) a) Does the current lead or lag the source voltage? b) Is the circuit in the box in resonance? Explain. c) Must there be a capacitor in the box? Explain. d) Must there be an inductor in the box? Explain. e) Must there be a resistor in the box? Explain. f) At what average rate is energy delivered to the box by the generator?

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1. An AC generator is connected to a "black box" through a pair of terminals. The box contains an RLC circuit, whose elements and connections we do not know. Measurements outside the box show: v(t) = (75.0 V)sin (wt), and i(t) = (1.20 A)sin (wt + 42°). %3| i(t) a) Does the current lead or lag the source voltage? b) Is the circuit in the box in resonance? Explain. c) Must there be a capacitor in the box? Explain. d) Must there be an inductor in the box? Explain. e) Must there be a resistor in the box? Explain. f) At what average rate is energy delivered to the box by the generator?
Transcribed Image Text:1. An AC generator is connected to a "black box" through a pair of terminals. The box contains an RLC circuit, whose elements and connections we do not know. Measurements outside the box show: v(t) = (75.0 V)sin (wt), and i(t) = (1.20 A)sin (wt + 42°). %3| i(t) a) Does the current lead or lag the source voltage? b) Is the circuit in the box in resonance? Explain. c) Must there be a capacitor in the box? Explain. d) Must there be an inductor in the box? Explain. e) Must there be a resistor in the box? Explain. f) At what average rate is energy delivered to the box by the generator?
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