Question

If n resistor of r ohm each are connected first in series than in parallel across same potential difference. calculate the ratio of power decipated in series to that in parallel.​

Answer 1

Resistance when resistors are connected in series,

R=r1+r2+.........+n

R/n=r -----------(1)

When connected in parallel,

1/R=1/r1+1/r2+.........+1/n

Rn=r ----------(2)

P=V/r²

P1=V/(R/n)² [From (1)]

P2=V/(Rn)² [From (2)]

Ratio= P1/P2

P1/P2=V/R²/n²*R²n²/V

=n/R²*R²n²

=1/2

So, the ratio is 1:2.

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