Question

Two conducting wires of the same material and of equal lengths and equal diameter 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​

Answer 1

Answer:

your answer is in pic

Explanation:

c 1:4

Answer 2

Answer:

The ratio of the heat produced in series and parallel combinations are $\bold{1:4}$

Explanation:

Now for series combination:

Total resistance is

$R=R_{1} +R_{2}$

$R_{p}=R+R$

$R_{p} =2R...(1)$

Now for parallel combination:

Total resistance is

$\frac{1}{R_p}=\frac{1}{R}+\frac{1}{R}$

$R_p=\frac{R}{2}...(2)$

Combine equations (1) and (2)

$\frac{R_p}{R_s}=\frac{\frac{R}{2}}{2R}$

$\frac{R_p}{R_s}=1:4$

Therefore, The ratio of the heat produced in series and parallel combinations are $1:4$

Hence option(c) is correct.