Question
A resistor R = 130 Ohm, an inductor L = 6.4 H and a capacitor C = 1.7 mu F are connected in parallel across an ac source with voltage amplitude V= 160 V and angular frequency = 60 Hz. Write out a periodic form for the voltage V across the source. Then denote the currents through each of the elements of the circuit iR, iL and iC, and write out their expressions specifying the respective phase difference with respect to the voltage Denote / the current through the source and write it in terms of iR, iL and iC Use the adjacent frame to draw a neat phasor diagram showing the correctly labeled currents and the phasor of the voltage V across the source. Use the diagram to find an expression for the amplitude of the current / through the source and its phase angle with respect to the voltage V, in terms of the amplitudes of the currents through the branches. Use Use the expressions derived in part b) to express the cunent amplitude / and the total angle phase in terms of R, C, L, w and V, as needed. Calculate / and numerically. Find a symbolical expression for the impedance Z of the parallel LRC circuit, and then calculate Z numerically.
Explanation / Answer
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