Separation between the plates of a parallel plate capacitor is d and the area of each plate is A. When a slab of material of dielectric constant k and thickness t (t < d) is introduced between the plates, its capacitance becomes
$\frac{ϵ_{0} A}{d + t ⎧ ⎪ ⎪ ⎪ ⎩ 1 - \frac{1}{k} ⎫ ⎪ ⎪ ⎪ ⎭}$
$\frac{ϵ_{0} A}{d + t ⎧ ⎪ ⎪ ⎪ ⎩ 1 + \frac{1}{k} ⎫ ⎪ ⎪ ⎪ ⎭}$
$\frac{ϵ_{0} A}{d - t ⎧ ⎪ ⎪ ⎪ ⎩ 1 - \frac{1}{k} ⎫ ⎪ ⎪ ⎪ ⎭}$
$\frac{ϵ_{0} A}{d - t ⎧ ⎪ ⎪ ⎪ ⎩ 1 + \frac{1}{k} ⎫ ⎪ ⎪ ⎪ ⎭}$

Question

Separation between the plates of a parallel plate capacitor is d and the area of each plate is A. When a slab of material of dielectric constant k and thickness t (t < d) is introduced between the plates, its capacitance becomes
$\frac{ϵ_{0} A}{d + t ⎧ ⎪ ⎪ ⎪ ⎩ 1 - \frac{1}{k} ⎫ ⎪ ⎪ ⎪ ⎭}$
$\frac{ϵ_{0} A}{d + t ⎧ ⎪ ⎪ ⎪ ⎩ 1 + \frac{1}{k} ⎫ ⎪ ⎪ ⎪ ⎭}$
$\frac{ϵ_{0} A}{d - t ⎧ ⎪ ⎪ ⎪ ⎩ 1 - \frac{1}{k} ⎫ ⎪ ⎪ ⎪ ⎭}$
$\frac{ϵ_{0} A}{d - t ⎧ ⎪ ⎪ ⎪ ⎩ 1 + \frac{1}{k} ⎫ ⎪ ⎪ ⎪ ⎭}$

Toppr Admin · Accepted Answer