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Four resistances are connected in a circuit as shown in the figure. Which of the following is the electric current flowing through $4 Ω$ and $6 Ω$ resistance respectively?

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2 amp and 4 amp

1 amp and 2 amp

1 amp and 1 amp

2 amp and 2 amp

answer is D.

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Detailed Solution

The electric current flowing through

4 Ω

and

6 Ω

resistance respectively will be

2 amp and 2 amp

Resistance of

4 Ω

and

4 Ω

are in parallel, their equivalent resistance =

2 Ω

Similarly, the equivalent resistance of

6 Ω and 6 Ω

3 Ω

Now

2 Ω  and 3 Ω

are in series,
Hence their total resistance

R = 2 + 3

= 5 Ω

From

V = I \times R

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

\Rightarrow = \frac{20}{5}

\Rightarrow = 4 A

This current will be equally divided in

4 Ω  and 6 Ω

resistance
So, the current through

4 Ω  and 6 Ω

resistance is

2 amp

respectively.

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