Q. A 120 V rms voltage at 90 Hz is applied across a 20 microfarad capacitor and
ID: 1402171 • Letter: Q
Question
Q. A 120 V rms voltage at 90 Hz is applied across a 20 microfarad capacitor and a 100 ohm resistor. what is the rms value of the current in that circuit?
a) 0.8A b)1.0A c) 0.7A d) 0 .6A e) 0.9A
Q. A 6 microfarad capacitor is connected to an ac signal with a frequency of 60 Hz. if the maximum voltage applied to the capacitor is 8.0 V, what is the capacitive reactance?
a) 440 ohm b) 160 ohm c) 7.5 x 10^-6 ohm d) 740 ohm e) 6.0 ohm
Q. a 60 microfarad capacitor is in series with a 100 ohm resistor connected across an ac source of frequency 120 Hz. what is the phase angle?
a)+12.4 b) +77.6 c) -77.6 d) -12.4 e) 90 degree
Q. a capacitor with a capacitive reactance of 40 ohm is connected in series with a 100 ohm resistor across an ac source of frequency 60 Hz. what is the phase angle?
a) 90 b) 21.8 c) -21.8 d) 68.2 e) -68.2
Explanation / Answer
Sorry we are allowed to solve only one question at a time
so I am solving first one
First of all we have to calculate the impedance of circuit.
Z = (R2+ XC2)1/2 =
XC = 1/(wC) where W is angualr frequency W = 2Pi(N) = 565.4866 rad/s where N is frequency in Hz
XC = 88.419 ohm
Z = 133.484 ohm
V = IZ
Irms = Vrms/Z = 120/133.484 = 0.8989 A
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