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what is the resultant resistance in the circuit given above

Physics
JAMB 1982

what is the resultant resistance in the circuit given above

  • A. 11Ω
  • B. 8Ω
  • C. 4Ω
  • D. 3.6Ω
  • E. 4.3Ω
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Correct Answer: Option B
Explanation

The 2\(\Omega\) resistors are in parallel

R\(_{para}\) = \(\frac{R_1 \times R_2}{R_1 + R_2}\) = \(\frac{2 \times 2}{2 + 2}\) = \(\frac{4}{4}\) = 1 \(\Omega\)

This 1  \(\Omega\) resistor is in series with both the 4  \(\Omega\) and 3 \(\Omega\) resistors

Therefore, R\(_{total}\) = 1 + 4 + 3 = 8 \(\Omega\)


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