4: The voltage across a 0.01 µF capacitor is 240 sin (1.25 ｘ 10⁴ t - 30°) V. Write the mathematical expression for the current through it. 

Ans (I = 0.03 sin(1.25 ｘ 10⁴ t + 60°) A)





8: A resistor of resistance 30 Ω is connected in series with a capacitor of capacitance 79.5 µF across a power supply of 50Hz and 100V. Find (a) impedance (b) current (c) phase angle and (c) equation for the instantaneous value of current. Ans (a. 50 Ω, b. 2A, c. 53° lead, d. 2.828 sin (314t + 53°) 



9: A coil having a resistance of 7 Ω and an inductance of 31.8 mH is connected to 230V, 50Hz supply. Calculate (a) the circuit current (b) phase angle (c) power factor. (d) power consumed. Ans (18.85, 55° lag, .573° lag, 2484.24 w) 



10: A capacitor which has a resistance of 10 Ω and a capacitance value of 100 µF is connected to a supply voltage given as V₍ₜ₎ = 100 sin (314t). Calculate the capacitive reactance, circuit impedance and peak current flowing into the capacitor. Ans (31.85 Ω, 33.4 Ω and 3A )



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