MHT CET202523 Apr 2025Morning ShiftPhysicsAlternating CurrentActual
In an a.c. circuit with pure capacitance 'C' and a.c. source E = E ₀ t , the equation of instantaneous current is given by
Options
- AI=E₀ c ( t)
- BI=E₀ c ( t+ 2 )
- CI= E₀ c ( t)
- DI= E₀ c ( t+ 2 )
Correct answer
B. I=E₀ c ( t+ 2 )
Step-by-step solution
The instantaneous current in a pure capacitor relates to the voltage by I = C dE dt . Given E = E₀ t , differentiating yields dE dt = E₀ t . Substituting into the current equation gives I = C E₀ t . Using the identity = ( + 2 ) , this becomes I = E₀ C ( t + 2 ) . This corresponds to option B , with the correct peak current magnitude E₀ C and phase shift 2 .