NEET2021PhysicsElectromagnetic WavesActual
A capacitor of capacitance C , is connected across an ac source of voltage V , given by V = V 0 sin ω t . The displacement current between the plates of the capacitor would then be given by___
Options
- AI d = V 0 ω C sin ω t
- BI d = V 0 ω C cos ω t
- CI d = V 0 ω C cos ω t
- DI d = V 0 ω C sin ω t
Correct answer
C. I d = V 0 ω C cos ω t
Step-by-step solution
∵ q = C V And V = V 0 sin ω t I d = ? As we know, ∵ I d = ε 0 d Q d t = ε 0 d E A d t ∵    E = V d = ε 0 A d V d d t = ε 0 A d d d t V 0 sin ω t I d = C V 0 ω cos ω t