Question

the resistance R1 and R2 connected in parallel the equivalent resistance of the combination is
A)R1+R2
B)R1-R2
C)R1R2/R1+R2
D)R1+R2/R1R2

Answer 1

Given,

Resistance of two resistors = R1 and R2

Both resistors are connected parallelly.

To find,

The equivalent resistance of the combination.

Solution,

We can simply solve this numerical problem by using the following process:

Let us assume that the equivalent resistance of the combination is equal to R.

Mathematically,

If a set of resistors are arranged in a parallel type of arrangement, then the reciprocal of the equivalent resistance of the arrangement is equal to the sum of the reciprocals of the individual resistances.

Now, according to the above statement;

1/R = 1/R1 + 1/R2

=> 1/R = (R1 + R2)/R1.R2

=> R = R1.R2/(R1 + R2)

Hence, the equivalent resistance of the combination is equal to R1.R2/(R1 + R2) ohms. (Option-C)