Question

in series combination of capacitors is the sum of the voltage across all the individual capacitors is equal to the sum of the voltage of circuit?

Answer 1

Dear Student,
Let two capacitors C₁ and C₂ are connected in series combination and the applied voltage is V. In a series combination the magnitude of charge (q) on all plates is same. We know that in series combination of capacitors the total capacitance is given by formula-
1/C = 1/C₁ + 1/C₂
q/C = q/C₁ + q/C₂
V = V₁ + V₂
As the potential is distributed in the inverse ratio of the capacity (V α 1/C or V = q/C)
Thus in series combination of capacitors the sum of the voltage across all the capacitors is equal to the sum of the voltage of the circuit.
Regards.