#### Question

If the above capacitor is connected across a 6⋅0 V battery, find (a) the charge supplied by the battery, (b) the induced charge on the dielectric and (c) the net charge appearing on one of the coated surfaces.

#### Solution

Given :

Capacitance of the capacitor, *C* = 1.42 nF

Dielectric constant, *k* = 4

Voltage of the battery connected, *V* = 6 V

(a) The charge supplied by the battery is given by

`q = CV = 1.42 xx 10^-9 xx 6`

= `8.52 xx 10^-9 "C" = 8.5 "nC"`

(b) The charge induced on the dielectric is given by

`q^' = q(1-1/K)`

= `8.52 xx 10^-9 xx (1-0.25)`

= `6.39 xx 10^-9 = 6.4 "nC"`

(c) The charge appearing on one of the coated plates is given by `Q_"net" = 8.5 - 6.4 = 2.1 "nC"`

Is there an error in this question or solution?

Solution If the Above Capacitor is Connected Across a 6⋅0 V Battery, Find (A) the Charge Supplied by the Battery, (B) the Induced Charge on the Dielectric Concept: Effect of Dielectric on Capacity.