Recent questions in Electrostatic Potential and Capacitance

A parallel plate capacitor is to be designed with a voltage rating $1\; kV$ , using a material of dielectric constant $3$ and dielectric strength about $10^7\; Vm^{−1}$ . (Dielectric strength is the maximum electric field a material can tolerate without breakdown, i.e., without starting to conduct electricity through partial ionisation.) For safety, we should like the field never to exceed, say $10 \%$ of the dielectric strength. What minimum area of the plates is required to have a capacitance of $50\; pF$ ?

asked Jan 2, 2017 by meena.p

1 answer

In a Van de Graaff type generator a spherical metal shell is to be a $15 × 10^6\; V$ electrode. The dielectric strength of the gas surrounding the electrode is $5 × 10^7 \;Vm^{−1}$ . What is the minimum radius of the spherical shell required?

asked Jan 2, 2017 by meena.p

1 answer

A small sphere of radius $r_1$ and charge $q_1$ is enclosed by a spherical shell of radius $r_2$ and charge $q_2$ . Show that if $q_1$ is positive, charge will necessarily flow from the sphere to the shell (when the two are connected by a wire) no matter what the charge $q_2$ on the shell is.

asked Jan 2, 2017 by meena.p

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Explain what would happen if in the capacitor given in 3 mm thick mica sheet (of dielectric constant = 6) were inserted between the plates C=1.771 x 10^-11 F, after the supply voltage of 100 V is was disconnected

asked Jan 2, 2017 by meena.p

1 answer

Explain what would happen if in the capacitor given in 3 mm thick mica sheet (of dielectric constant = 6) were inserted between the plates, While the voltage supply remained connected.

asked Jan 2, 2017 by meena.p

1 answer

A spherical conductor of radius $12\; cm$ has a charge of $1.6 \times 10^{−7}\;C$ distributed uniformly on its surface. What is the electric field at a point 18 cm from the center of the sphere ?

asked Jan 2, 2017 by meena.p

1 answer

A spherical conductor of radius $12\; cm$ has a charge of $1.6 \times 10^{−7}\;C$ distributed uniformly on its surface. What is the electric field just outside the sphere ?

asked Jan 2, 2017 by meena.p

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A spherical conductor of radius $12\; cm$ has a charge of $1.6 \times 10^{−7}\;C$ distributed uniformly on its surface. What is the electric field inside the sphere ?

asked Jan 2, 2017 by meena.p

1 answer

A $600 \;pF$ capacitor is charged by a $200\; V$ supply. It is then disconnected from the supply and is connected to another uncharged $600 \;pF$ capacitor. How much electrostatic energy is lost in the process?

asked Jan 2, 2017 by meena.p

1 answer

$A 12 \;pF$ capacitor is connected to a $50\;V$ battery. How much electrostatic energy is stored in the capacitor?

asked Jan 2, 2017 by meena.p

1 answer

In a parallel plate capacitor with air between the plates, each plate has an area of $6 \times 10^{−3} m^2$ and the distance between the plates is $3\; mm$ . Calculate the capacitance of the capacitor. If this capacitor is connected to a $100\; V$ supply, what is the charge on each plate of the capacitor?

asked Jan 2, 2017 by meena.p

1 answer

Three capacitors each of capacitance $9 \;pF$ are connected in series. What is the total capacitance of the combination?

asked Jan 2, 2017 by meena.p

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A charge of $8\; mC$ is located at the origin. Calculate the work done in taking a small charge of $−2 \times 10^{−9}\; C$ from a point $P (0, 0, 3 \;cm)$ to a point $Q (0, 4 \;cm, 0)$ , via a point $R (0, 6cm, 9 cm)$ .

asked Jan 2, 2017 by meena.p

1 answer

A parallel plate capacitor with air between the plates has a capacitance of $8 pF (1pF = 10^{−12} F)$ . What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant $6$ ?

asked Jan 1, 2017 by meena.p

1 answer

Two charges $2 \mu C$ and $−2 \mu C$ are placed at points A and B 6 cm apart. (a) Identify an equipotential surface of the system. (b) What is the direction of the electric field at every point on this surface?

asked Jan 1, 2017 by meena.p

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A regular hexagon of side $10\; cm$ has a charge $5 \;\mu C$ at each of its vertices. Calculate the potential at the centre of the hexagon.

asked Jan 1, 2017 by meena.p

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Equipotentials at a great distance from a collection whose total sum is not zero are approximately

asked Dec 31, 2016 by meena.p

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The electrostatic potential on the surface of a charged conducting sphere is $100\;V$ . Two statements are made in this regard: S1: At any point inside the sphere , electric intensity is zero . S2: At any point inside the sphere ,the electro potential is 100 V. Which of the following is a correct statement ?

asked Dec 31, 2016 by meena.p

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Figure shows some equipotential lines distributed in space .A charged object is moved from point A and point B.

asked Dec 31, 2016 by meena.p

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A positively charged particle is released from rest in an unifrom electric field . The electric potential energy of the charge

asked Dec 31, 2016 by meena.p

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A capacitor of $4 \;\mu F$ is connected as shown in the figure . The internal resistance of the battery is $5.0 \Omega$ . The amount of charge on the capacitor plates will be

asked Dec 31, 2016 by meena.p

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