Question

is heat producedin parallel circuit more than that of series circuit​

Answer 1

Answer:

Yes,heat produced in parallel combination is more.

Explanation:

Assumptions:

1. The source of V volts remains same for the two cases.
2. The time considered fro the two circuits is same.
3. The number of resistors in the two cases are same.

we know that

H=V²/R*Δt

where

H=heat produced

V=voltage applied

R=resistance of the circuit

Δt=time

Since V and Δt are same for the two cases therefore we can say that

H is inversely proportional R

Hence the formula reduces to

H=k/R

where k is a constant

Case 1:

When the circuits are in series

Let there be n number of resistors each having resistance of R

therefore net resistance is given by

Rₙₙ=R₁+R₂+R₃+......+Rₙ

=R+R+R....upto R terms

=nR

R₁=Rₙₙ=nR

H₁=k/nR

Case 2:

when the n resistors are connected in parallel

1/Rₙₙ=1/R₁+1/R₂+....1/Rₙ

=n/R

R₂=Rₙₙ=R/n

H₂=kn/R

Obviously H₂>H₁ since its multiplied by a positive constant n

Therefore heat produced in parallel combination is more .

Hope this helps.