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Q.

Find the equivalent resistance for the given combination.

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a

2 Ω

b

4 Ω

c

9 Ω

d

11 Ω

answer is B.

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Detailed Solution

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The formula for the equivalent resistance when resistances are connected in series is:

Equivalent resistance, R=R1+R2

The formula for the equivalent resistance when resistances are connected in parallel is:

Here 4Ω and 4Ω are in parallel combination: 

So, 1Rι=14+14=24=12

R'=2Ω

Now R' and 2Ω are in series combination:

∴Req=2+2=4Ω

Therefore, the equivalent resistance of the combination will be 4 Ω.

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