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DQ12C_solution

DQ12C_solution - Discussion Question 12C P212 Week 12 RLC...

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Discussion Question 12C P212, Week 12 RLC Circuits (a) Calculate the maximum EMF E m and the maximum current I m in the RLC circuit described at right. The “rms” = root-mean-square value of anything oscillating sinusoidally is its peak value divided by 2. E m = E rms 2 = 170 V I m = E m /Z = 170/223.6 = 0.76 A (b) Find the magnitude and sign of the phase φ by which the driving EMF leads the current. A negative phase means that the driving EMF lags the current … which is the case here? Does your answer make sense given the reactances you calculated earlier? (c) Draw the phasor diagram for this circuit, giving numerical values for the lengths of each phasor ( E , V R , V C , V L ). Be sure to draw your diagram carefully: use longer phasors for larger peak voltages. V R = I m R = 152 V V C = I m / ( ω C) = 380 V V L = I m ω L = 304 L C R E R = 200 Ω L = 40 mH C = 0.20 μ F E rms = 120 V ω = 10 4 rad/sec 400 L X L ω = 1 500 C X C = 200 R = Ω 200 Ω 100 Ω Z=223 6 . Ω L C The figure shows R, X and X The net reactance is 100 in the direction of capacitance.

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DQ12C_solution - Discussion Question 12C P212 Week 12 RLC...

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