Question

Explain and derive the series and parallel combination of resistors

Answer 1

Answer:

Explanation:

Consider 2 resistors in parallel.

there is same potential between them.

also V = IR

Let I - current through 1st resistor

    I'- currnt through 2nd resistor

    R - resistance of 1st resistor

    R' - resistance of 2nd resistor

  total current = I+I'    - 1

total current = V/R(equivalent)  [since potntial are same]  

so V / R(equivalent) = V / R + V / R'

cancelling V we get  1 / R(equivalent) = I / R + 1 / R'

consider two resistors in series

here current is same but potential are different.

in fact total potential is the sum of potentials across each resistor.

so total potential = V + V'

 IR(equivalent) = I R + I R'

cancelling I we gat

R(equivalent) = R+R'

IN SHORT THEY CAN BE PROVED USING OHM'S LAW AND DEFINITIONS OF SERIES AND PARALLEL CIRCUITS.