Question

Two
conducting wires of the same material and of equal lengths and equal diameters
are first connected in series and then parallel in an electric circuit. The ratio of heat
produced in series and parallel combinations would be: Please also explain why can't we solve by using I i.e. current in place of V i.e. potential difference​

Answer 1

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