Three electric cells each of e.m.f 1.5V and internal resistance of 1.0\(\Omega\) are connected in...

JAMB 1997

Three electric cells each of e.m.f 1.5V and internal resistance of 1.0\(\Omega\) are connected in parallel across an external resistance of \(\frac{2}{3}\)\(\Omega\). Calculate the value of the current in the resistor

A. 0.5 A
B. 0.9A
C. 1.5A
D. 4.5A

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Correct Answer: Option C

Explanation

E.m.f = 1.5

r = \(\frac{1 \times\ 1 \times 1}{(1 \times\ 1) + (1 \times\ 1) + (1 \times\ 1)}\)

r = \(\frac{1}{3}\)\(\Omega\)

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

I = \(\frac{1.5}{\frac{1}{3}\ + \frac{2}{3}}\)

I = 1.5A

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