A certain choke coil of negligible resistance takes a current of 8 amperes when connected to a supply of 100 volts, at 50 cycles per sec. A certain non-inductive resistance, under the same conditions, carries a current of 10 amp. If the two are transferred to a supply system working at 150 volts, at 40 cycles per second, what total current will they take
Text Solution
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Sol. Given
Choke coil (negligible R):

So inductive reactance at 50 Hz:

Non-inductive resistor:

New supply: 
New inductive reactance
Since
:

SERIES COMBINATION
Total impedance:

Current: 

PARALLEL COMBINATION
Branch currents:
Resistor branch:

Inductor branch:

Resultant current:

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