Question

Derive the equation of resistors in series & Parallel

Answer 1

In Series

we know that,

v = v1 + v2..............(1)

by ohm's law,

v= i × r......................(2)

v1=i ×r1................(3)

again,

v2= i ×r2...….........…(4)

now put the value of v, v1 and v2 in equation 1

i × r = i × r1+ i× r2

i × r = i(r1 + r2 )

r = i(r1 + r2)/i

r = r1 + r2

In Parallel

we know that,

I = i1 + i2.................(1)