AIIMS2010PhysicsCapacitance
What would be the voltage across C₃ ?
Options
- A(C₁+C₂ ) V C₁+C₂+C₃
- BC₁ V C₁+C₂+C₃
- CC₂ V C₂+C₂+C₃
- DC₃ V C₁+C₂+C₃
Correct answer
A. (C₁+C₂ ) V C₁+C₂+C₃
Step-by-step solution
Capacitors C₁ and C₂ are in parallel, their equivalent capacitance is in series with capacitor C₃ . Hence, the equivalent capacitance of the given circuit is C_ e q = (C₁+C₂ ) C₃ C₁+C₂+C₃ Charge on capacitor C₃ is aligned Q & =V C_ eq & = V (C₁+C₂ ) C₃ C₁+C₂+C₃ aligned Voltage across C₃ is = Q C₃ = V (C₁+C₂ ) C₁+C₂+C₃