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.

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SSC JE EE Previous Paper 11 (Held on: 24 March 2021 Morning)
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  1. 48 Ω
  2. 96 Ω
  3. 240 Ω
  4. 144 Ω

Answer (Detailed Solution Below)

Option 2 : 96 Ω
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Detailed Solution

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Concept:

Active power drawn by a device, 

P = V2 / Rd

So, Rd = V2 / P        ...(1)

Where,

R= resistance of the device

V = Voltage rating of the device

Explanation:

Given, device rating is 120 V, 100 W

So, from (1), resistance of device 

Rd = (120)2 / 100 = 144 Ω 

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

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

Current through circuit, 

Rex = 96 Ω 

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