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A coil of inductance 0.007 H, a resistor of resistance 8Ω and a capacitor of...

A coil of inductance 0.007 H, a resistor of resistance 8Ω and a capacitor of capacitance 0.001 F are connected in series to an a.c. source of frequency

Hz. If the r.m.s voltages across the coil, the resistor and the capacitor are
30V,30V and 70V respectively.

Draw a vector diagram to illustrate the voltage across the components in the circuit
Calculate the:

( ) r.m.s. voltage of the source;
( r.m.s. current in the circuit;
power dissipated in the circuit.

Write down the sinusoidal equation for the r.m.s. voltages, V,

in terms of the time, t.?

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