Question

Explain with diagrams the series and parallel combination of resistances.

Answer 1

Series Connection:

When two or more resistors are connected end-to-end consecutively, they are said to be connected in a series combination.

The same current flows through both resistors.

The total voltage divides across each resistor (V = V₁ + V₂).

Equivalent Resistance (R_s) = R₁ + R₂

Parallel Connection:

When two or more resistors are connected simultaneously between the same two common points, they are said to be connected in a parallel combination.

The voltage across both resistors remains identical.

The total current divides into different branches (I = I₁ + I₂).

Equivalent Resistance (R_p):

`1/R_p = 1/R_1 + 1/R_2`