Effect of Dielectric Charging and Discharging of Capacitor
Capacitance

165973 Two identical parallel plate air capacitors are connected in series to battery of e.m.f. ' $V$ '. If one of the capacitor is inserted in liquid of dielectric constant ' $K$ ', then potential difference of the other capacitor will become

1 $\frac{\mathrm{K}+1}{\mathrm{KV}}$
2 $\frac{\mathrm{K}}{\mathrm{V}(1-\mathrm{K})}$
3 $\frac{\mathrm{K}}{\mathrm{V}(\mathrm{K}+1)}$
4 $\frac{\mathrm{KV}}{\mathrm{K}+1}$
Capacitance

165974 Two spherical conductors of capacities $3 \mu \mathrm{F}$ and $2 \mu \mathrm{F}$ are charged to same potential having radii $3 \mathrm{~cm}$ and $2 \mathrm{~cm}$ respectively, if $\sigma_{1}$ and $\sigma_{2}$ represent surface density of charge on respective conductors then $\sigma_{1} / \sigma_{2}$ is

1 $2 / 3$
2 $3 / 4$
3 $1 / 3$
4 $5 / 3$
Capacitance

165975 Capacity of a parallel plate air consider is $2 \mu \mathrm{F}$ and voltage between the plates is changing at the rate of $3 \mathrm{~V} / \mathrm{s}$. The displacement current in the capacitor is

1 $4 \mu \mathrm{A}$
2 $6 \mu \mathrm{A}$
3 $8 \mu \mathrm{A}$
4 $2 \mu \mathrm{A}$
Capacitance

165976 Two capacitors of capacitance $C$ are connected in series. If one of them is filled with dielectric substance $K$, what is the effective capacitance?

1 $\frac{\mathrm{KC}}{(1+\mathrm{K})}$
2 $\mathrm{C}(\mathrm{K}+1)$
3 $\frac{2 \mathrm{KC}}{1+\mathrm{K}}$
4 None of these
Capacitance

165973 Two identical parallel plate air capacitors are connected in series to battery of e.m.f. ' $V$ '. If one of the capacitor is inserted in liquid of dielectric constant ' $K$ ', then potential difference of the other capacitor will become

1 $\frac{\mathrm{K}+1}{\mathrm{KV}}$
2 $\frac{\mathrm{K}}{\mathrm{V}(1-\mathrm{K})}$
3 $\frac{\mathrm{K}}{\mathrm{V}(\mathrm{K}+1)}$
4 $\frac{\mathrm{KV}}{\mathrm{K}+1}$
Capacitance

165974 Two spherical conductors of capacities $3 \mu \mathrm{F}$ and $2 \mu \mathrm{F}$ are charged to same potential having radii $3 \mathrm{~cm}$ and $2 \mathrm{~cm}$ respectively, if $\sigma_{1}$ and $\sigma_{2}$ represent surface density of charge on respective conductors then $\sigma_{1} / \sigma_{2}$ is

1 $2 / 3$
2 $3 / 4$
3 $1 / 3$
4 $5 / 3$
Capacitance

165975 Capacity of a parallel plate air consider is $2 \mu \mathrm{F}$ and voltage between the plates is changing at the rate of $3 \mathrm{~V} / \mathrm{s}$. The displacement current in the capacitor is

1 $4 \mu \mathrm{A}$
2 $6 \mu \mathrm{A}$
3 $8 \mu \mathrm{A}$
4 $2 \mu \mathrm{A}$
Capacitance

165976 Two capacitors of capacitance $C$ are connected in series. If one of them is filled with dielectric substance $K$, what is the effective capacitance?

1 $\frac{\mathrm{KC}}{(1+\mathrm{K})}$
2 $\mathrm{C}(\mathrm{K}+1)$
3 $\frac{2 \mathrm{KC}}{1+\mathrm{K}}$
4 None of these
Capacitance

165973 Two identical parallel plate air capacitors are connected in series to battery of e.m.f. ' $V$ '. If one of the capacitor is inserted in liquid of dielectric constant ' $K$ ', then potential difference of the other capacitor will become

1 $\frac{\mathrm{K}+1}{\mathrm{KV}}$
2 $\frac{\mathrm{K}}{\mathrm{V}(1-\mathrm{K})}$
3 $\frac{\mathrm{K}}{\mathrm{V}(\mathrm{K}+1)}$
4 $\frac{\mathrm{KV}}{\mathrm{K}+1}$
Capacitance

165974 Two spherical conductors of capacities $3 \mu \mathrm{F}$ and $2 \mu \mathrm{F}$ are charged to same potential having radii $3 \mathrm{~cm}$ and $2 \mathrm{~cm}$ respectively, if $\sigma_{1}$ and $\sigma_{2}$ represent surface density of charge on respective conductors then $\sigma_{1} / \sigma_{2}$ is

1 $2 / 3$
2 $3 / 4$
3 $1 / 3$
4 $5 / 3$
Capacitance

165975 Capacity of a parallel plate air consider is $2 \mu \mathrm{F}$ and voltage between the plates is changing at the rate of $3 \mathrm{~V} / \mathrm{s}$. The displacement current in the capacitor is

1 $4 \mu \mathrm{A}$
2 $6 \mu \mathrm{A}$
3 $8 \mu \mathrm{A}$
4 $2 \mu \mathrm{A}$
Capacitance

165976 Two capacitors of capacitance $C$ are connected in series. If one of them is filled with dielectric substance $K$, what is the effective capacitance?

1 $\frac{\mathrm{KC}}{(1+\mathrm{K})}$
2 $\mathrm{C}(\mathrm{K}+1)$
3 $\frac{2 \mathrm{KC}}{1+\mathrm{K}}$
4 None of these
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Capacitance

165973 Two identical parallel plate air capacitors are connected in series to battery of e.m.f. ' $V$ '. If one of the capacitor is inserted in liquid of dielectric constant ' $K$ ', then potential difference of the other capacitor will become

1 $\frac{\mathrm{K}+1}{\mathrm{KV}}$
2 $\frac{\mathrm{K}}{\mathrm{V}(1-\mathrm{K})}$
3 $\frac{\mathrm{K}}{\mathrm{V}(\mathrm{K}+1)}$
4 $\frac{\mathrm{KV}}{\mathrm{K}+1}$
Capacitance

165974 Two spherical conductors of capacities $3 \mu \mathrm{F}$ and $2 \mu \mathrm{F}$ are charged to same potential having radii $3 \mathrm{~cm}$ and $2 \mathrm{~cm}$ respectively, if $\sigma_{1}$ and $\sigma_{2}$ represent surface density of charge on respective conductors then $\sigma_{1} / \sigma_{2}$ is

1 $2 / 3$
2 $3 / 4$
3 $1 / 3$
4 $5 / 3$
Capacitance

165975 Capacity of a parallel plate air consider is $2 \mu \mathrm{F}$ and voltage between the plates is changing at the rate of $3 \mathrm{~V} / \mathrm{s}$. The displacement current in the capacitor is

1 $4 \mu \mathrm{A}$
2 $6 \mu \mathrm{A}$
3 $8 \mu \mathrm{A}$
4 $2 \mu \mathrm{A}$
Capacitance

165976 Two capacitors of capacitance $C$ are connected in series. If one of them is filled with dielectric substance $K$, what is the effective capacitance?

1 $\frac{\mathrm{KC}}{(1+\mathrm{K})}$
2 $\mathrm{C}(\mathrm{K}+1)$
3 $\frac{2 \mathrm{KC}}{1+\mathrm{K}}$
4 None of these