A parallel-plate capacitor of plate area and plate separation is partially filled…

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Electric Force Field and Potential · Electric Force Field and Potential

Problem

A parallel-plate capacitor of plate area

A

and plate separation

d

is partially filled with a dielectric slab of thickness

t

(

t<d

) and relative permittivity

\kappa

. The remaining space is vacuum. Which of the following gives the effective capacitance

C

of the system? (a)

\dfrac{\varepsilon_0 \kappa A}{d - t + \dfrac{t}{\kappa}}

(b)

\dfrac{\varepsilon_0 A}{d - t + \dfrac{t}{\kappa}}

(c)

\dfrac{\varepsilon_0 \kappa A}{d}

(d)

\dfrac{\varepsilon_0 A[\kappa(d-t)+t]}{t(d-t)}