A class measures the capacitance of a parallel-plate capacitor for several plate…

PHYSICS · Single correct · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

A class measures the capacitance

C

of a parallel-plate capacitor for several plate separations

d

, keeping the plate area

A

and dielectric material unchanged. When the data are plotted as

C

versus

1/d

, the graph is a straight line with slope

(4.2\times10^{-12})\,\text{F}\cdot\text{m}

. The dielectric constant of the material is

\kappa = 2.2

. Which is the best estimate of the plate area

A

? (a)

1.0\,\text{m}^2

(b)

0.22\,\text{m}^2

(c)

0.48\,\text{m}^2

(d)

0.10\,\text{m}^2