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  • The circuit shown has resistors of equal resistance  . Find the equivalent resistance between <img alt="A" src="https://e

The circuit shown has resistors of equal resistance  R. Find the equivalent resistance between A and B, when the key is closed:

Option: 1

\frac{11 R}{12}


Option: 2

\frac{13 R}{12}


Option: 3

\frac{\mathrm{R}}{5}


Option: 4

\frac{15 R}{12}


Answers (1)

best_answer

A careful observation will reveal that one end of each resistor is connected to A and the other end is connected to B
 Hence, the resistors are in parallel.

\mathrm{R}_{\mathrm{AB}}=\left(\frac{1}{\mathrm{R}}+\frac{1}{\mathrm{R}}+\frac{1}{\mathrm{R}}+\frac{1}{\mathrm{R}}+\frac{1}{\mathrm{R}}\right)^{-1}=\frac{\mathrm{R}}{5}

 

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vinayak

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