Question

Two conducting wires of the same material and of equal lengths and equal diameters
are first connected in series and then parallel in a circult 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

Answer 1

(c) 4:1

Heat produced in the circuit is inversely proportional to the resistance R.

Let RS be the equivalent resistances of the wires if connected in series and RP be the equivalent resistances of the wires if connected in parallel

Then RS =R+R=2R

And1/ RP = 1/R +1/R

1/ RP = 2/R

Or RP =R/2

Now the ratio of heat produced is given by

$\frac{Hs}{Hp} = \frac{ \frac{ {V}^{2} }{Rs}t }{ \frac{ {V}^{2} }{Rp}t } \\ = \frac{Rp}{Rs}$

ItzDopeGirl❣

Answer 2

answer : 1:4

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