Question

Give the law of combination of resistances in series.

Answer 1

In a series combination, the same current flows through each resistor. Let the supplied voltage, V be divided as V₁, V₂ and V₃ in resistors R_1, R₂ and R₃, respectively.

V = V₁ + V₂ + V₃

IR = IR₁ + IR₂ + IR₃

IR = I(R₁ + R₂ + R₃)

R = R₁ + R₂ + R₃

Thus, in the case of a series combination, the total resistance, R is the sum of the individual resistance R₁, R₂ and R₃.