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Ohm's Law in Scalar Form

The ratio of ...

Question

The ratio of resistances of two resistors A and B connected in series is 1:4 and the current passing through them is 10 A. Then the ratio of current that flows through them when connected in parallel and connected across the same pd is ____

A

4:1

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B

1:4

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C

1:2

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D

2:1

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Solution

The correct option is D 4:1
$R_{1} : R_{2} = 1 : 4$

$I = \frac{V}{R}$

When connected in parallel combination, potential difference is same across both resistors.

Hence, $\frac{I_{1}}{I_{2}} = \frac{R_{2}}{R_{1}}$

$⟹ I_{1} : I_{2} = 4 : 1$

Answer-(A)

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