Question

three resistance 1 ohm, 2 ohm, 3 ohm are connected in parallel. The ratio of currents passing through them when a potential difference is applied across the ends​

Answer 1

Answer:

In parallel points voltage across commom points is same.

If we take V as potential difference,

Then current through 1 ohm resistance is V

Current through 2 ohm resistance is V/2

And through 3 ohm resistance is V/3

Hence the ratio is 1:1/2:1/3

Answer 2

The ratio is 6 : 3 : 2 .

Given :

Three resistance $R_1,R_2\ and \ R_3$ of 1 , 2 and 3 ohms respectively .

Let , potential difference is applied across the ends​ be V .

We know , equivalent resistance is given by :

$\dfrac{1}{R_{eq}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}$

Putting all values we get :

$R_{eq}=0.6 \ \Omega$ .

So , net current drawn through the circuit is :

$I=\dfrac{V}{0.6}$

Know , we need to find the current flowing through each resistor .

We know , by current divider rule current through each resistance in parallel is given by :

$I_R=\dfrac{IR_{total}}{R}$

For , R = 1 ohm ,

$I_1=\dfrac{6I}{1}=6I$

For , R = 2 ohm ,

$I_1=\dfrac{6I}{2}=3I$

For , R = 3 ohm ,

$I_1=\dfrac{6I}{3}=2I$

Therefore, the ratio is 6 : 3 : 2 .

Hence , this is the required solution .

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