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Using Kirchhoff’S Rules Determine the Value of Unknown Resistance R in the Circuit So that No Current Flows Through 4 ω Resistance. Also Find the Potential Difference Between a and D.

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प्रश्न

Using Kirchhoff’s rules determine the value of unknown resistance R in the circuit so that no current flows through 4 Ω resistance. Also find the potential difference between A and D.

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उत्तर

Apply Kirchhoff’s In loop ABCFA:-

I + I + 4I1 = 9 − 6

2I + 4I1 = 3 … (1)

As there is no current flowing through the 4Ω resistance,

I1 = 0

Or, 2I = 3

Or, I = 1.5A

Thus the current through resistances R is 1.5A.

As there is no current through branch CF, thus equivalent circuit will be,

By applying Kirchhoff’s loop law we get,

1.5 + 1.5 + R (1.5) = 9 − 3

R = 2Ω

Potential difference between A and D = (9 − 3) = 6V

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2011-2012 (March) Delhi Set 1

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