Determine the external resistor required to reduce the line voltage from 120 V to 72 V for the operation of a device. The device is rated for 120 V, 100 W.

Determine the external resistor required to reduce the line voltage from 120 V to 72 V for the operation of a device. The device is rated for 120 V, 100 W.

Right Answer is:

96 Ω

SOLUTION

The figure for the given question is given below

Rated resistance of device = V2/P = (120)2/100

Rd = 144

Now let’s add external resistor Rex in series with device resistance Rd.

Line voltage of the device reduces from 120 to 72 V, so the remaining voltage(120 – 72 = 48 V) should drop across Rex.

Current through the circuit,

I = 72/144 = 48/Rex

Rex = 96Ω

 

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