Problem 1. AC Circuits four short questions. (a) Explain the difference between instantaneous, peak, and RMS quantities, and give some examples of when it is appropriate to use each one. (b) For electrical power, (instantaneous) p = iv is always true, but (average) Pavg = Ims Vrms is only true sometimes. Give a situation where it works, and a situation where it fails, and explain why it fails. (c) AC circuits gained prevalence over DC circuits for power distribution because of the ease of transforming between high and low voltage. Explain why a transformer (which uses magnetic induction between two coils of wire) works for AC but not for DC. (d) Suppose an electrical distribution line has a resistance of 1 ohm and needs to deliver 1 MW (megawatt) of electrical power. Is it more efficient to deliver that power at Vms = 120 V or at Vrms = 120 kV? Calculate the power wasted as heat in the distribution line to answer the question. (Hint: Actual distribution lines are high-voltage, so...)

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1. AC Circuits four short questions.
(a) Explain the difference between instantaneous, peak, and RMS quantities, and give some
examples of when it is appropriate to use each one.
(b) For electrical power, (instantaneous) p = iv is always true, but (average) Pavg = Ims Vrms
is only true sometimes. Give a situation where it works, and a situation where it fails, and
explain why it fails.
(c) AC circuits gained prevalence over DC circuits for power distribution because of the ease of
transforming between high and low voltage. Explain why a transformer (which uses magnetic
induction between two coils of wire) works for AC but not for DC.
(d) Suppose an electrical distribution line has a resistance of 1 ohm and needs to deliver 1 MW
(megawatt) of electrical power. Is it more efficient to deliver that power at Vms = 120 V or
at Vrms = 120 kV? Calculate the power wasted as heat in the distribution line to answer the
question. (Hint: Actual distribution lines are high-voltage, so...)
Transcribed Image Text:Problem 1. AC Circuits four short questions. (a) Explain the difference between instantaneous, peak, and RMS quantities, and give some examples of when it is appropriate to use each one. (b) For electrical power, (instantaneous) p = iv is always true, but (average) Pavg = Ims Vrms is only true sometimes. Give a situation where it works, and a situation where it fails, and explain why it fails. (c) AC circuits gained prevalence over DC circuits for power distribution because of the ease of transforming between high and low voltage. Explain why a transformer (which uses magnetic induction between two coils of wire) works for AC but not for DC. (d) Suppose an electrical distribution line has a resistance of 1 ohm and needs to deliver 1 MW (megawatt) of electrical power. Is it more efficient to deliver that power at Vms = 120 V or at Vrms = 120 kV? Calculate the power wasted as heat in the distribution line to answer the question. (Hint: Actual distribution lines are high-voltage, so...)
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