JEE Main2014PhysicsCapacitanceActual
A parallel plate capacitor is made of two plates of length 1 , width w and separated by distance d . A dielectric slab (dielectric constant K ) that fits exactly between the plates is held near the edge of the plates. It is pulled into the capacitor by a force F =- U x where U is the energy of the capacitor when dielectric is inside the capacitor up to distance x (See figure). If the charge on the capacitor is Q then
Options
- AQ ^2 ~d 2 wl ^2 _ o K
- BQ ^2 ~W 2 dl ^2 ₀ ( ~K -1)
- CQ ^2 ~d 2 wl ^2 _ o ( K -1)
- DQ ^2 w 2 dl ^2 _ o K
Correct answer
C. Q ^2 ~d 2 wl ^2 _ o ( K -1)
Step-by-step solution
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