Question

Explain series combination of resistors.

Answer 1

i. In series combination, resistors are connected in single electrical path. 

Hence, the same electric current flows through each resistor in a series combination.

ii. Where as, in series combination, the supply voltage between two resistors R₁ and R₂ is divided into V₁ and V₂ respectively.

iii. According to Ohm’s law,

R₁ = \(\frac{V_1}{I}\), R₂ = \(\frac{v_2}{I}\)

Total Voltage, V = V₁ + V₂

= I(R₁ + R₂)

∴ V = I R_s

Thus, the equivalent resistance of the series circuit is, R_s = R₁ + R₂

iv. When a number of resistors are connected in series, the equivalent resistance is equal to the sum of individual resistances.

For ‘n’ number of resistors,

R_s = R₁ + R₂ + R₂ + ………….. + R_n