Question

two ironical resistance each of resistance of 10 ohm are connected series parallel in turn to a battery of 6 volt. calculate the ratio of power consumed in the combination and resistance in the two cases

Answer 1

In series connection,

Equivalent resistance, R_s = 10 + 10 = 20 Ω

So, power consumed = V²/R_s = 6²/20 = 1.8 W

In parallel connection,

Equivalent resistance, R_p = (10)(10)/(10+10) = 5 Ω

So, power consumed = 6²/5 = 7.2 W

So, the ratio of power consumed in series to parallel is = 1.8 : 7.2 = 1 : 4