Give the law of combination of resistances in series.

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Solution

In a series combination, the same current flows through each resistor. Let the supplied voltage, V be divided as V₁, V₂and V₃ in resistors R₁_,R₂and 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.

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