a) Write down the expression of instantaneous voltage for an AC voltage having a Peak value of 220 Volts and a frequency of 50 Hz provided at time t=0, the instantaneous voltage is 220 Volts. What is the instantaneous voltage of the source at time “t = 5 seconds” What is its RMS voltage?

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...
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a) Write down the expression of instantaneous voltage for an AC voltage having a Peak value of 220 Volts and a frequency of 50 Hz provided at time t=0, the instantaneous voltage is 220 Volts. What is the instantaneous voltage of the source at time “t = 5 seconds” What is its RMS voltage?

b) Two 200Ω resistances are connected in series with one 0.5 H Inductance and two 100μF Capacitance with the power supply of part (a).

(i)Draw the circuit diagram of the above network

(ii)What is the total impedance of the circuit

(iii)What is the max current that flows through the Inductance?

(iv)What is the max current that flows through each of the Capacitance? (v)What is the power dissipated in the circuit

(vi)What is the power factor of the circuit

(vii)What is the resonance frequency of the circuit?

(viii) What is the maximum power dissipated by the circuit when it is in resonance

 

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