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In the Given Circuit, Assuming Point a to Be at Zero Potential, Use Kirchhoff’S Rules to Determine the Potential at Point B.

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प्रश्न

In the given circuit, assuming point A to be at zero potential, use Kirchhoff’s rules to determine the potential at point B.

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उत्तर

According to Kirchhoff’s Junction Law, when applied at junction D:

Incoming current = outgoing current

So, 3A = 1A + current through 2Ω.

Hence, current through 2Ω is 2A from D to C. Applying Kirchhoff’s law to the loop containing R1, 2Ω and 4V.

3A is the current through R1 as the current coming out from the 4V battery is 3A.

4 = 3 × R+ 2 × 2

⇒ R1 = 0 Ω

So, no potential drop between B and C.

Now lets analyse the bigger loop containing 4V, R and 2V (R1 can be omitted now); here the 4V and 2V are connected in series with B as a point between the two batteries. So we finally have the potential at B to be 2V.

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2010-2011 (March) All India Set 3

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