Question

Justify for any pair of resistance the equivalent resistance in parallel

Answer 1

Given: The resistors.

To find: The correct question is : Justify for any pair of resistance the equivalent resistance in series is greater than equivalent resistance in parallel .

Solution:

• Lets assume there are two resistors each of 6 Ω.

• Let them be in series combination.

• Then the equivalent resistance will be:

                 6 + 6 = 12 Ω.

• Now let the resistors be in parallel.

• Then the equivalent resistance will be:

                 1/R = 1/6 + 1/6 = 2/6 = 1/3

                 R = 3 Ω.

• So from this we can conclude that equivalent resistance in series is greater than equivalent resistance in parallel .

Answer:

                So we have concluded that equivalent resistance in series is greater than equivalent resistance in parallel .