Problem $18$

How much work is required to remove a dielectric slab with $x=10$ from a parallel plate capacitor while its plates are connected to a $10$ V battery. The area of each plate is $0\mathrm{.}5m^2,$ the spacing between the two plates is $2$ mm and the dielectric slab was initially filling all the space between the two plates. The mechanical friction force is assumed to be negligible. Hint: the work is the change in energy

a$)995$ nJ

b$)498$ nJ

c$)249$ nJ

d$)125$ nJ

e$)62$ nJ