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 circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be?​

Answer 1

Answer:

Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then in parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be :

VIDEO EXPLANATION

ANSWER

Since the two wires have same material, length and diameter, they have the same resistance. Let the resistance of each wire be R.

Let applied potential difference be V.

R

series

=R

1

+R

2

=R+R=2R

P

series

=V

2

/R

series

=V

2

/(2R)..........(i)

R

parallel

1

=

R

1

1

+

R

2

1

R

parallel

=R/2

P

parallel

=V

2

/R

parallel

=2V

2

/R............(ii)

Dividing (ii) from (i),

P

parallel

P

series

=1/4

Answer By

Toppr