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AP Physics C Chapter 31 1. Test Due 05/6/2011 A coil has a reactance of 1.55 k and draws 26 mA from an AC generator with a terminal voltage of 60 V effective. What is its resistance? RL = ___________ 2. A circuit consists of a capacitor with a reactance of 2500 in series with an inductor of negligible resistance and a reactance of 2000 . What is the impedance of the circuit? Z = ________ 3. A little radio has a tuning circuit consisting of a variable capacitor and an antenna coil. If the circuit has a maximum current when C = 300 pF and f = 40.0 kHz, what is the inductance of the coil? L = _______ 4. A 400-mH inductor with negligible resistance and a 185- resistor are in series across a 60-Hz sinusoidal source. If the voltage drop across the resistor is 370 V, what is the voltage across the inductor? What is the voltage across the AC source? VL = ________ Vsource = _______ -1- AP Physics C Chapter 31 Test Due 05/6/2011 5. The input line to a transformer has an AC voltage of V in = 1100 V. If the primary has Np = 100 turns, how many turns (Ns) should the secondary have if the output voltage Vout is to be 550 V? 6. A load resistor is placed across the secondary terminal of a step-down transformer with a turn ratio of 4:1. IF the primary voltage and current are 120 V and 1.0 A respectively, what will be the secondary voltage and current? Assume 100% efficiency for the transformer. 7. An AC transmission line transfers energy at the rate Pavg = 5.0 MW from a generating plant to a factory. a) What current irms is present in the line if the transmission voltage Vrms is 120 V? b) If Vrms = 80 kV? c) What is the ratio of the thermal (Joule) energy losses in the line for these two cases? (Yes the joule heating loss in the line depends on the resistance in the line, but you don’t need to know what the resistance is to answer the question.) -2- AP Physics C Chapter 31 Test Due 05/6/2011 8.A sinusoidal signal V(t)=Vmsin(t) is produced by an AC source and put across a diode-resistor combination as shown in the figure. In terms of Vm, compute the following: the average value of the input voltage (Vin, avg), the rms value of the input voltage (Vin, rms), the average value of the output voltage (Vout,avg), and the rms value the output voltage (Vout,rms). Vin,avg = _______ Vin,rms = _______ Vout,avg = ___________ Vout,rms = ___________ 9 A series LCR circuit has inductance L in Henrys, resistance R in ohms, and capacitance C in Farads. An AC voltage of amplitude V0 is placed across the circuit. a) For what frequency f will the current in the circuit be a maximum? f max = _______________ b) What will be the value of the maximum current? f min = ___________ _________________ c) For what frequencies with the current be one-half its maximum value? f 1/2 = ____________ _______________ d) For what frequencies will the current be a minimum? f min = __________ ______________ -3- AP Physics C Chapter 31 Test Due 05/6/2011 10. AC voltage with amplitude V0 is applied across a parallel LCR circuit as shown. a) For what frequency is the current in the capacitance C the same magnitude as the current in the inductance L? b) For what frequency is the current through the AC source a maximum? A minimum? c) For what frequencies is the current through the AC source twice the minimum value? 11. A transformer has 500 primary turns and 10 secondary turns. (a) If V1,rms for the primary is 120 V, what is V2,rms for the secondary, assuming an open circuit on the secondary? (b) If the secondary has a resistive load R of 15 W, what are i1,rms and i2,rms? Assume the transformer is ideal with no efficiency losses. -4-