Question

Two resistance R1 and R2 are connected in parallel. Total current flowing through the circuit is 1 . Derive expressions for the current flowing through the two resistance

Answer 1

Answer:

Total current flowing through circuit be 'i'

Let i1 and i2 be the current flowing through resistors be r1 and r2.

Thus,

i = i1 + i2

the potential difference V across both resistors is same as the resistors are arranged in parallel combination.

i1 = V/r1

i2 = V/r2

... (By Ohm's law)

Thus,

i equals V over r subscript 1 plus V over r subscript 2

i space equals space V open parentheses 1 over r subscript 1 plus 1 over r subscript 2 close parentheses