Question

Determination of the equivalent resistance of two resistors when connected in parallel​

Answer 1

Answer::

To determine the equivalent resistance of two resistors when connected in parallel. When the resistors are connected in parallel with a combination of cells or battery, in such case the total current I, is equal to the sum of the separate value of current through each branch of the combination

Answer 2

Refer to the attachment for the diagram.

Let the two resistances R1 and R2 be connected in parallel and a battery of V Volts be connected to it. Let the total current in the circuit be I, total resistance of the circuit be R and the current through the resistances R1 and R2 be I1 and I2 respectively.

By simple addition,

I = I1 + I2

By Ohm's law, I = V/R

V/R = V/R1 + V/R2

V(1/R) = V(1/R1 + 1/R2)

1/R = 1/R1 + 1/R2

The above is the expression for calculating the effective resistance between two resistors connected in parallel.