Soln10 - AC Circuits

# Soln10 - AC Circuits - 8B Worksheet Answers 10 AC Circuits...

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8B Worksheet Answers 10. AC Circuits 1. For this problem, Graph A represents I R ( t ), and the battery has a frequency of 398 Hz. This frequency is the f of the problem, but our formulas will typically use the angular frequency , ω . The relationship between f and ω is ω = 2 π f = 2500 Hz. a) i) The potential and current are in phase across a resistor, so Graph D best represents V R ( t ). ii) This is a series circuit, so the current is the same everywhere throughout the circuit. Therefore, Graph A best respresents I C (t). iii) The potential difference across a capacitor lags the current by a quarter-period (or by π /2, or by 90 ° , depending on how you prefer to express these things!). Therefore, Graph B best represents V C ( t ). b) X C = 1 / ω C = 40 Ω c) Z = R 2 + X C 2 = 50 Ω d) I rms = V batt,rms / Z = 0.24 A e) i) V R,rms = I rma R = 7.2 V ii) V C,rms = I rms X C = 9.6 V f) The answers don’t add up because the two voltages are not in phase. 2. For this problem, Graph A represents I R ( t ), and the battery has a frequency of 398 Hz.

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