Does the current flowing through the parallel circuit is same in all the branches. For example if 2A current is flowing through a parallel crcuit and one branch holds 1hm and 5 ohm resistor and the other branch has 9 ohm and 3 ohm resistor then is the current flowing through each branch is different or same?

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Solution

As two branches are connected in parallel Combination then, voltage across each branch will remain same.
In first branch net resistance is 1+5 = 6 ohm
In second branch net resistance is 9+3 = 12 ohm.
as both are connected in series, net resistance of the circuit is
$\frac{1}{R} = \frac{1}{6} + \frac{1}{12} R = 4 o h m C u r r e n t i n t h e c i r c u i t i s 2 A v o l t a g e i n t h e c i r c u i t i s 2 \times 4 = 8 v o l t v o l t a g e a c r o s s e a c h b r a n c h w i l l r e m a i n s a m e . C u u r e n t t h r o u g h t h e f i r s t b r a n c h I_{1} = 8 / 6 = 4 / 3 = 1.33 A C u r r e n t a c r o s s s e c o n d b r a n c h I_{2} = 8 / 12 = 0.66 A$

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