Embibe Experts Solutions for Exercise 8: Assignment Set-2

Positive and negative point charges of equal magnitude are kept at $\left(0, 0, \frac{a}{2}\right)$ and $\left(0, 0, \frac{-a}{2}\right)$, respectively. The work done by the electric field when another positive point charge is moved from $(-a, 0, 0)$ to $(0, a, 0)$ is

An air filled parallel plate capacitor having circular plates of diameter $D$ is given a charge $Q.$ The magnitude of the force acting between plates is $\frac{n{Q}^2}{\pi {\epsilon }_0{D}^2}.$ The value of $n$ is

The potential of point $P$ is $n \mathrm{V}.$ The value of$n$ is

The ratio of energy stored by the series combination of two identical capacitors to their parallel combination, when connected to same supply voltage, is

An air filled parallel plate capacitor of capacitance $50 \mu \mathrm{F}$ is connected to a battery of $100 \mathrm{V}.$ A slab of dielectric constant $4$ is inserted in it to fill the space completely. The extra charge (in $\mathrm{mC}$) flown through the battery till it attains the steady state is $n.$ The value of $n$is

In the arrangement shown, the battery is disconnected and a dielectric slab of dielectric constant $K$ is inserted between the plates of capacitor with capacitance $C$, so as to completely fill the space. The final potential difference across capacitor with capacitance $2C$ is $\frac{nV}{K+2}.$ The value of $n$ is

A $2 \mu \mathrm{F}$ capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch $S$ is turned to position $2$ is $n.$ The value of $n$ is

In the given circuit, a charge of $+80 \mu \mathrm{C}$ is given to the upper plate of the $4 \mu \mathrm{F}$ capacitor. Then in the steady state, the charge (in $\mu \mathrm{C}$ ) on the upper plate of the $3 \mu \mathrm{F}$ capacitor is