Question

two resistors 40 ohm and 10 ohm connected in parallel to an electric cell then what will be the ratio of currents passing through them​

Answer 1

Answer:

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Answer 2

Given:

Two resistors 40 ohm and 10 ohm connected in parallel to an electric cell.

To find:

Ratio of current passing through them.

Calculation:

Let the battery applied to the circuit supply a potential difference of V .

Now , since 40 ohm and 10 ohm are in parallel combination , both of them will experience a potential difference of V.

Current through 40 ohm:

$i_{1} = \dfrac{V}{40} \: \: \: \: \: \: ........(1)$

Current through 10 ohm:

$i_{2} = \dfrac{V}{10} \: \: \: \: \: \: ........(2)$

Required ratio:

$\therefore \: \dfrac{i_{1}}{i_{2}} = \dfrac{10}{40} = \dfrac{1}{4}$

$\implies\: i_{1} : i_{2} = 1 : 4$

So, final answer is:

$\boxed{ \bf{\: i_{1} : i_{2} = 1 : 4}}$