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A circuit has a resistance of 200Ω. The resistance of the circuit can be reduced...

Physics
JAMB 2014

A circuit has a resistance of 200Ω. The resistance of the circuit can be reduced to 120Ω when

  • A. A 300Ω resistor is connected to it in parallel
  • B. An 80Ω resistor is conneceted to it in series
  • C. A 150Ω resistor is connected to it in parallel
  • D. A 240Ω resistor is connected to it in series
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Correct Answer: Option A
Explanation

A 300Ω resistor is connected to it in parallel

Let R\(_t\)  = total resistance in parallel

\(\frac{1}{R_t}\) = \(\frac{1}{R_1}\) + \(\frac{1}{R_2}\) = \(\frac{1}{200}\) + \(\frac{1}{300}\)

R\(_t\)  = \(\frac{200 \times 300}{200 + 300}\) = \(\frac{6000}{500}\) = 120 \(\Omega\)

There is an explanation video available below.


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Explanation Video

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