A 10 Ω resistor is connected across a battery. The heat produced in the resistor in 5 seconds is 200 J. The potential difference across the resistor is:  

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RRB Group D 19 Sept 2022 Shift 1 Official Paper
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  1. 20 V
  2. 30 V
  3. 10 V
  4. 40 V

Answer (Detailed Solution Below)

Option 1 : 20 V
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Detailed Solution

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Given:

heat produced, H = 200J

Time taken, t= 5 seconds

Resistance, R= 10Ω

Formula used:

H= I2Rt

V=IR

Where,

H- heat produced

I- current

R- resistance

V- potential difference

t- time taken

Calculations:

I= \(\sqrt {H\over Rt }\)

=\(\sqrt{200\over10\times5}\)

=\({\sqrt4}=2\)

I=2 A

V=IR

V= \(2\times10\)

v= 20v

Therefore, the potential difference across the resistor is 20V.

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