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In the diagram above , the current I is

Physics
JAMB 2001

In the diagram above , the current I is

  • A. 3/8
  • B. 9/11
  • C. 11/9
  • D. 8/3
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Correct Answer: Option B
Explanation

 I = \(\frac{E}{R + r}\)

For parallel of 5Ω and 10Ω
\(\frac{1}{R}\) = \(\frac{1}{10}\) + \(\frac{1}{5}\) = \(\frac{1+2}{10}\) = \(\frac{3}{10}\)
∴R = \(\frac{10}{3}\)
Total R = 3\(\frac{1}{3}\) + 3 x 1 = 7\(\frac{1}{3}\)
∴I = 6\(\div\) 7\(\frac{1}{3}\) = \(\frac{6}{1}\) x \(\frac{3}{22}\) = \(\frac{18}{22}\) = \(\frac{9}{11}\)
∴I = \(\frac{9}{11}\)

There is an explanation video available below.


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