Two wires if the same metal and of the same dia. And same length are connected in series 1st n then parallel, the ratio of energy produced during series n parallel connection will be .....
A. 1:2
B. 2:1
C. 1:4
D. 4:1
To find the ratio of energy produced during series and parallel connections of two wires, we need to consider the relationship between resistance and energy.
In a series connection, the total resistance is equal to the sum of the individual resistances. Since the wires have the same metal, diameter, and length, their resistances are equal. Therefore, the total resistance in the series connection is twice the resistance of one wire.
In a parallel connection, the reciprocal of the total resistance is equal to the sum of the reciprocals of the individual resistances. Since the wires have the same resistance, the total resistance in the parallel connection is half the resistance of one wire.
Now, let's denote the resistance of one wire as R. In a series connection, the total resistance is 2R. In a parallel connection, the total resistance is 0.5R.
The energy produced is directly proportional to the resistance. So, the ratio of energy produced during series and parallel connections will be:
Energy series : Energy parallel = Resistance series : Resistance parallel
Replacing the resistances, we get:
Energy series : Energy parallel = 2R : 0.5R
Simplifying the ratio, we get:
Energy series : Energy parallel = 4 : 1
Therefore, the correct answer is D. 4:1