A hobbyist plans to obtain an equivalent resistance of the form by first connecting…

PHYSICS · Single correct · CBSE · Physics · Electricity · Electricity

Problem

A hobbyist plans to obtain an equivalent resistance of the form R(1+1n)R\left(1+\dfrac{1}{n}\right) by first connecting nn identical resistors of resistance RR in parallel and then adding one more resistor RR in series with that parallel group. For which of the following target values (expressed in multiples of RR) is this design NOT possible with any positive integer nn? (a) 1.25 R1.25\,R (b) 1.75 R1.75\,R (c) 2.00 R2.00\,R (d) 1.50 R1.50\,R

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