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Capacitor With Dielectric|Questions...

Capacitor With Dielectric|Questions

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A parallel palte capacitor is filled by a dielectric whose relative permittively varies with the applied voltage (U) as epsilon = alpha U where alpha = 2V^(-1) . A similar capacitor with no dielectric is charged to U_(0) = 78V . It is then is connected to the uncharged capacitor with the dielectric. Find the final voltage on the capacitors.

A parallel plate capacitor with a dielectric slab with dielectric constant k= 3 filling the space between the plates is charged to potential V and isolated. Then the dielectric slab is drawn out and another dielectric slab of equal thickness but dielectric constant k'= 2 is introduced between the plates. The ratio of the energy stored in the capacitor later to that initially is:

In the figure, a capacitor is field with dielectrics. The resultant capacitance is