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An Alternating Current (AC) circuit has frequency v = 60 Hz. In such circuit there are 3
elements. The first one is a long thin solenoid with 4 × 104 turns/m, length of 10.0 cm and
a cross-sectional area of 20.0 cm². The second one is a resistor with resistance
R = 10.02. The third one is a parallel-plate capacitor is composed of two circular plates
with radius 10.0 cmseparated by a gap of 0.05 mm.
a) Calculate the angular frequency, w, of the circuit.
b) Calculate the self inductance of such inductor and the inductive reactance.
c) Calculate the capacitance of such device and the capacitive reactance.
d) Draw the following functions on the same graph. Represent them as closely as
possible to reality using the values you calculated so far. Use the graph on the back.
IR cos (@t)
VR
IXL COS (@t+.
VL = IXL COS
VC = IXc cos wt-
-
-
元|2 元|2
Transcribed Image Text:An Alternating Current (AC) circuit has frequency v = 60 Hz. In such circuit there are 3 elements. The first one is a long thin solenoid with 4 × 104 turns/m, length of 10.0 cm and a cross-sectional area of 20.0 cm². The second one is a resistor with resistance R = 10.02. The third one is a parallel-plate capacitor is composed of two circular plates with radius 10.0 cmseparated by a gap of 0.05 mm. a) Calculate the angular frequency, w, of the circuit. b) Calculate the self inductance of such inductor and the inductive reactance. c) Calculate the capacitance of such device and the capacitive reactance. d) Draw the following functions on the same graph. Represent them as closely as possible to reality using the values you calculated so far. Use the graph on the back. IR cos (@t) VR IXL COS (@t+. VL = IXL COS VC = IXc cos wt- - - 元|2 元|2
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