Question

Two conducting wires of the same material and of equal lengths and equaldiameters are first connected in series and then parallel in a circuit across the samepotential difference. The ratio of heat produced in series and parallel combination would be:
(a) 1:2
(b) 2:1
(c) 1:4
(d) 4:1
​

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

Answer 2

Answer:

c

Explanation:

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