Question 225: Current Electricity

Question

Five identical cells each of internal resistance 1$$\Omega$$ and emf 5V are connected in series and in parallel with an external resistance 'R'. For what value of 'R', current in series and parallel combination will remain the same?

Accepted Answer

$${i_1} = {{25} \over {5 + R}}$$
$${i_2} = {5 \over {R + {1 \over 5}}}$$
$${i_1} = {i_2} \Rightarrow 5\left( {R + {1 \over 5}} \right) = 5 + R$$
4R = R
R = 1$$\Omega$$

Answer

1 $$\Omega$$

Answer

25 $$\Omega$$

Answer

5 $$\Omega$$

Answer

10 $$\Omega$$

Current Electricity

Five identical cells each of internal resistance 1$\Omega$ and emf 5V are connected in series and in parallel with an external resistance 'R'. For what value of 'R', current in series and parallel combination will remain the same?

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