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In the circuit diagram above, calculate the current in the 12 Ω resistor if the...

Physics
JAMB 1994

In the circuit diagram above, calculate the current in the 12 Ω resistor if the cell has an emf of 12V and an internal resistance of 1Ω

  • A. 0.8A
  • B. 1.0A
  • C. 1.6A
  • D. 2.4A
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Correct Answer: Option A
Explanation

\(E = I(R + r)\)

\(I = \frac{E}{R + r}\)

\(\frac{1}{R} = \frac{1}{12} + \frac{1}{6} = \frac{1}{4}\)

\(R = 4\Omega\)

\(I = \frac{12}{1 + 4} = \frac{12}{5}\)

= 2.4A

The current through the 12 Ω resistor (in parallel) is: = 2.4 × (\(\frac{6}{18}\)) = 2.4 × (\(\frac{1}{3}\)) = 0.8 A


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