Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be -
(a) 1:2
(b) 2:1
(c) 1:4
(d) 4:1
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R is the resistance value in a wire.
According to the series, the value of Rs is R + R which is 2R.
In parallel, the value of 1/Rp becomes 1/R + 1/R = 2/R.
The value of Rp is R/2.
q = V2/R x t
The value of qs = V2/Rs x t
The value of qp = V2/Rp x t
Hence, qs/qp= (V2/Rs x t)/(V2/Rp x t)
= (R/2)/2R = 1:4
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