Question

Two heater wires of same dimensions are first connected in series and then in parallel to a source of supply. What will be the ratio of heate produce in two case

Answer 1

Heat  = V²/R

in series

Rs = Rw+Rw = 2Rw

Hs = V²/2Rw

In Parallel

1/Rp = 1/Rw + 1/Rw

1/Rp = 2/Rw

Rp = Rw/2

Hp = V²/(Rw/2)

Hp = 2V²/Rw

Hs/Hp  = (V²/2Rw) /  (2V²/Rw)

Hs/Hp = 1/4

Hs:Hp  :: 1:4

Hs = Heat in Series Hp = Heat in Parallel

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