6. A 1-microF capacitor, a 10-Ohm resistor and a 1 microH inductor are connected

Question

6. A 1-microF capacitor, a 10-Ohm resistor and a 1 microH inductor are connected in series with a sinusoidal signal generator of 10V peak voltage amplitude operating at a frequency ? of 100 rad/s. (a) Find the amplitude of current oscillations in the circuit. (b) Sketch a phasor diagram to represent this circuit. Show the phasors of all circuit elements on your diagram. (c) Find the phase shift between the current and the generator voltage. Indicate whether the current leads the voltage or vice-versa?

Explanation / Answer

a> amplitude = 10 V

b. drawing the phasor diagram is simple but to show it here is difficult.. so please bear with it..

c> Xc = 1/(2*100*10^-6)

= 1591 ohms

Xl = (2*100*10^-6) = 0.000628 ohm

tan (phase shift) = (Xc -Xl)/R = 1591/10

phase shift = 89.6 degrees

current leads :)

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