Numerical's Solution | Capacitors and Dielectrics

2076 C

A $300 \; V$ battery is connected across capacitors of $3 \mu F$ and $6 \mu F$ in parallel. Calculate the energy stored in each capacitor. [Click here for Solution]

2074 S / 2070 D

A parallel plate air capacitor of capacitance $245 * 10^{-12}\; F$ has a charge of magnitude $0.148 \mu F$ on each plate. Find the potential difference and electric field intensity between the plates if the distance between plates is $5\;mm$. [Click here for Solution]

2074 A

Two capacitors of capacitances $5\mu F$ and $15\mu F$ respectively are connected in series with a battery of $220 \; V$. Find the charge and potential across each capacitor. [Click here for Solution]

2074 B

A parallel plate air capacitor has a capacitance of $10^{-9} \; F$. What potential difference is required for a charge of $5 * 10^{-5}\;C$? What is the total energy stored in it? [Click here for Solution]

2073 S / 2068

Two capacitors of capacitances $4\mu F$ and $6\mu F$ respectively are joined in series with a battery of emf $60\; V$. The connections are broken and the like terminals of the capacitors are then joined. Find the final charge on each capacitor. [Click here for Solution]

2073 C

Two capacitors of capacitances $4\mu F$ and $12 \mu F$ respectively, are connected in series. The combination is then connected momentarily across a $200\; V$ battery. Find the charge and potential difference across each capacitor. [Click here for Solution]

2073 D

A parallel plate capacitor with air as the dielectric has a capacitance of $6 * 10^{-4}\mu F$ and is charged by a $100\; V$ battery. Calculate the charge and the energy stored in the capacitor. [Click here for Solution]

2072 S

Eight drops of water of the same size are equally and similarly charged. They combine together to form a bigger drop. Compare the capacitances of a bigger drop with that of the smaller drop. [Click here for Solution]

2071 C

Two spheres of radii $5\; cm$ and $10\;cm$ are given charges $100\;C$ and $50\;C$ respectively and then connected by a wire. Calculate the loss of energy after connection. [Click here for Solution]

2071 D

Three capacitors of $1 \mu F$, $2\mu F$ and $3\mu F$ are connected first in series. The same capacitors are again connected in parallel. Compare their equivalent capacitance. Which one of these combinations gives a larger value of capacitance. [Click here for Solution]

2070 C
A parallel plate air capacitor has a plate separation of $5\;mm$ and is charged to a potential difference of $400\; V$. Calculate the energy density in the region between the plates. [Click here for Solution]

2069 B
Find the equivalent capacitance of the following combination as shown in the figure. In which $C_1 = C_2 = C_3 = C_4 = C_5 = 100 \mu F$ [Click here for Solution]

2066
In the given capacitors circuit applied potential between $a$ and $b$ is $220\; V$. What is the equivalent capacitance of the network between $a$ and $b$? Given $C_1 = C_5 = 8.4 \mu F$ and $C_2 = C_3 = C_4 = 4.2\mu F$. [Click here for Solution]

2063 S
A sheet of paper $40\;mm$ wide and $1.5 * 10^{-2}\;mm$ thick between metal foil of the same width is used to make a $2.04 \mu F$ capacitor. If the dielectric constant of the paper is $2.5$, what length of the paper is required? [Click here for Solution]


2062 S
What distance should the two plates each of area $2 * 10^2 \;m^2$ of an air capacitor be placed in order to have the same capacitance as a spherical conductor of radius $0.5\;m$? [Click here for Solution]

2059 / 2056
Two capacitors of capacitance $4 \mu F$ and $12 \mu F$ respectively are connected in series and the combination is connected momentarily across a $200\; V$ battery. The charged capacitors are now isolated and connected in parallel, similar charged plates being connected together. Calculate the common potential. [Click here for Solution]

2053
A thundercloud and the earth can be regarded as a parallel plate capacitor. Taking the area of the thundercloud to be $50 \;km^2$, its height above the earth as $1\; km$ and it's potential $100\; KV$, calculate the energy stored. [Click here for Solution]

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