In the circuit diagram below, E is a battery of negligible internal resistance. If its...

PHYSICS
WAEC 2010

In the circuit diagram below, E is a battery of negligible internal resistance. If its emf is 9.0V. Calculate the current in the circuit

  • A. 1.8A
  • B. 1.0A
  • C. 0.8A
  • D. 0.3A

Correct Answer: B. 1.0A

Explanation

\(\frac{1}{r} = \frac{1}{r_1} + \frac{1}{r_2}\)

= \(\frac{1}{5} + \frac{1}{20}\)

= \(\frac{4 + 1}{20} = \frac{5}{20}\)

r = \(\frac{20}{5}\)

= 4\(\Omega\)

R = R1 + R2

= 5 + 4

= 9\(\Omega\)

but V = IR

I = \(\frac{V}{R} = \frac{9}{9}\)

= 1A



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