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Recent questions and answers in Electrostatic Potential and Capacitance

Questions >> JEEMAIN and NEET >> Physics >> Class12 >> Electrostatic Potential and Capacitance

The capacitance of parallel plate capacitor does not depend upon

answered Oct 21, 2018 by balu.rathod7585

3 answers

Three capacitors, each of capacitance C are connected to a battery of voltage V. When key K is closed, the charge which will flow through the battery is (see figure).

answered Oct 16, 2018 by nitishnetha

1 answer

Two identical particles , each having a charge of $\;2\times10^{-4}\;C\;$ and mass 10g are kept at a separation of 10 cm and released . What would be the speeds of the particles when the separation becomes large ?

answered Apr 19, 2017 by mahajanmridul1997

2 answers

Figure shows a capacitor made of two circular plates each of radius $12\: cm$, and separated by $5\: cm$. The capacitor is being charged by an external source. The charging current is constant and equal to $0.15\: A$. The rate of change in potential difference between the plates is

answered Apr 3, 2014 by balaji.thirumalai

1 answer

A fully charge capacitor of capacity $0.1\; \mu F$ is discharged through a resistor of resistance $10^6$ ohms. The time in which the potential falls to half its original value is $[\log_e2=0.6931]$

answered Mar 25, 2014 by meena.p

1 answer

Figure shows a capacitor made of two circular plates each of radius $12\: cm$, and separated by $5\: cm$. The capacitor is being charged by an external source. The charging current is constant and equal to $0.15\: A$. The rate of change in potential difference between the plates is

answered Mar 4, 2014 by thanvigandhi_1

1 answer

A solid metallic sphere of radius a is surrounded by a conducting spherical shell of radius b $\;(b >a)\;$ . The solid sphere is given a charge Q . Potential at the surface of the solid sphere is $\;V_{a}\;$ and at the surface of spherical shell is $\;V_{b}\;$. If we put -4Q charge on the shell the potential differance between the sphere and shell becomes $\;\bigtriangleup V\;.$ Now we earthed the outer shell and the charge on the ouer shell is $\;q_{1}\;$.Now we removed the earthing connection from the shell and earthed the inner solid sphere. Charge on solid sphere becomes $\;q_{2}\;$. Answer the following question based on the passage.Now if we connected the shell and solid sphere after removing earthing from the solid sphere charge on outer surface of shell becomes.

answered Feb 20, 2014 by yamini.v

1 answer

A solid metallic sphere of radius a is surrounded by a conducting spherical shell of radius b $\;(b >a)\;$ . The solid sphere is given a charge Q . Potential at the surface of the solid sphere is $\;V_{a}\;$ and at the surface of spherical shell is $\;V_{b}\;$. If we put -4Q charge on the shell the potential differance between the sphere and shell becomes $\;\bigtriangleup V\;.$ Now we earthed the outer shell and the charge on the ouer shell is $\;q_{1}\;$.Now we removed the earthing connection from the shell and earthed the inner solid sphere. Charge on solid sphere becomes $\;q_{2}\;$. Answer the following question based on the passage. $\;q_{2}\;$ is

answered Feb 20, 2014 by yamini.v

1 answer

A solid metallic sphere of radius a is surrounded by a conducting spherical shell of radius b $\;(b >a)\;$ . The solid sphere is given a charge Q . Potential at the surface of the solid sphere is $\;V_{a}\;$ and at the surface of spherical shell is $\;V_{b}\;$. If we put -4Q charge on the shell the potential differance between the sphere and shell becomes $\;\bigtriangleup V\;.$ Now we earthed the outer shell and the charge on the ouer shell is $\;q_{1}\;$.Now we removed the earthing connection from the shell and earthed the inner solid sphere. Charge on solid sphere becomes $\;q_{2}\;$. Answer the following question based on the passage.$\;q_{1}\;$ is

answered Feb 20, 2014 by yamini.v

1 answer

A solid metallic sphere of radius a is surrounded by a conducting spherical shell of radius b $\;(b >a)\;$ . The solid sphere is given a charge Q . Potential at the surface of the solid sphere is $\;V_{a}\;$ and at the surface of spherical shell is $\;V_{b}\;$. If we put -4Q charge on the shell the potential difference between the sphere and shell becomes $\;( \bigtriangleup V )\;.$ Now we earthed the outer shell and the charge on the ouer shell is $\;q_{1}\;$.Now we removed the earthing connection from the shell and earthed the inner solid sphere. Charge on solid sphere becomes $\;q_{2}\;$. Answer the following question based on the passage. Potential difference $\;(\bigtriangleup V) \;$ measured between the inner solid sphere and outer shell after putting a charge -4Q is

answered Feb 20, 2014 by yamini.v

1 answer

Four point charges $\;+8 \mu C\;,-1 \mu C\;,-1 \mu C\;and\;+8 \mu C\;$ are fixed at the points $\;-\sqrt{\large\frac{27}{2}} m \;,- \sqrt{\large\frac{3}{2}} m \;,+ \sqrt{\large\frac{3}{2}} m \;and\;+\sqrt{\large\frac{27}{2}} m\;$ respectively on the Y-axis . A particle of mass $\;6\times10^{-4} kg\;$ and charge $\;0.1 \mu C \;$ moves along the - X direction . It's speed at $\;x=+ \infty\;$ is $\;V_{0}\;. \quad \;$ Answer the following question based on the passage. Kinetic energy of the particle at origin would be

answered Feb 19, 2014 by yamini.v

1 answer

Four point charges $\;+8 \mu C\;,-1 \mu C\;,-1 \mu C\;and\;+8 \mu C\;$ are fixed at the points $\;-\sqrt{\large\frac{27}{2}} m \;,- \sqrt{\large\frac{3}{2}} m \;,+ \sqrt{\large\frac{3}{2}} m \;and\;+\sqrt{\large\frac{27}{2}} m\;$ respectively on the Y-axis . A particle of mass $\;6\times10^{-4} kg\;$ and charge $\;0.1 \mu C \;$ moves along the - X direction . It's speed at $\;x=+ \infty\;$ is $\;V_{0}\;. \quad \;$ Answer the following question based on the passage. Find the least value of $\;V_{0}\;$ for which the particle will cross the origin .

answered Feb 19, 2014 by yamini.v

1 answer

At the distance of 5 cm and 10 cm from surface of a uniformly charged solid sphere , the potentials are 100 V and 75 V respectively . Then which of the following statements are correct $\; $ 1. Potential at it's surface is 150 V $\;$2.The charge on the sphere is $\;\large\frac{50}{3}\;\times 10^{-10}\;C$ $\;$3.Electric field on the surface is $\;1500 V/m\;$ $\;$4.Electric potential it's centre is 25V $\;\quad \;$

answered Feb 19, 2014 by yamini.v

1 answer

Two concentric shells have radii R & 2R , charges $\;q_{A}\;and\;q_{B}\;$ and potential 2V and $\;\large\frac{3}{2} V\;$ respectively . Now shell B is earthed and let charges on them becomes $\;q_{A}^{|}\;and\;q_{B}^{|}\;.$ Then $\;\large\frac{q_{A}^{|}}{q_{A}}+\large\frac{q_{B}^{|}}{q_{B}}\;$ is

answered Feb 19, 2014 by yamini.v

1 answer

The electric potential at a point $\;(x , y)\;$ in the x- y plane is given by $\;V=-k\;x\;y\;$. The field intensity at a distance r in this plane , from the origin is proportional to

answered Feb 19, 2014 by yamini.v

1 answer

There are two uncharged identical metallic spheres 1 and 2 of radius r separated by a distance d (d > > r) . $\;\lambda\;$ charged metallic sphere of same radius having charge q is touched with one of the sphere . After some time it is moved away from the system . Now the uncharged sphere is earthed . Charge on earthed sphere is

answered Feb 19, 2014 by yamini.v

1 answer

The maximum electric field intensity inside a sphere of radiusR is

answered Feb 18, 2014 by yamini.v

1 answer

The point $\;r_{m}\;$ inside the sphere of a sphere of radius R at which electric field intensity is maximum , is given by

answered Feb 18, 2014 by yamini.v

1 answer

The magnitude of the electric field as a function of the distance r outside the ball is given by

answered Feb 18, 2014 by yamini.v

1 answer

The magnitude of electric filed as a function of the distance r inside the sphere is given by

answered Feb 18, 2014 by yamini.v

1 answer

There are two concentric spherical shells of radii r and 2r . Initially a charge Q is given to the inner shell . Now , switch $\;S_{1}\;$ is closed and opened then $\;S_{2}\;$ is closed and opened and the process is repeated n times for both the keys alternatively . Find the final potential difference between the shells

answered Feb 18, 2014 by yamini.v

1 answer

A simple pendulum with a bob of mass m=1 kg , charge $5\;mu C \;$ and string length l=1m is given a horizontal velocity u in a uniform electric field $\;E=2\times10^{6} V/m\;$ at its bottom most point as shown in figure . It is given that the speed u is such that the particle leaves the circle at point C . Find approx the speed u in m/s (Take g=10 m/s^2)

answered Feb 18, 2014 by yamini.v

1 answer

The electric potential varries in space according to the relation V= 4x+3y . A particle of mass 1 kg starts from rest from point $\;(8 , 3.9 m )\;$ under the influence of this field . Find the velocity of the particle when it crosses the y - axis . The charge on the particle ic $\;+1 \mu C$ .

answered Feb 18, 2014 by yamini.v

1 answer

A particle of mass m and charge -Q is constrained to move along the axis of a ring of radius R .The ring carries a uniform charge density $\;+ \lambda\;$ along its length . Initially the particle is in the centre of the ring . Now it is displaced slightly along the axis of ring it's time period of oscillation is

answered Feb 18, 2014 by yamini.v

1 answer

Two conducting concentric , hollow sphere A and B have radii a and b respectively with A inside B . Their common potentials is V . A is now given some charge such that its potential becomes zero . The potential of B will now be

answered Feb 18, 2014 by yamini.v

1 answer

In a uniform electric field , the potential is $10\;V$ at the origin of coordinates and $8V$ at each of the points $(1 ,0 ,0) ,(0 , 1 ,0)\;and\;(0 ,0,1)\;.$ The potential at the point $\;(1 ,1 ,1)\;$ will be

answered Feb 18, 2014 by yamini.v

1 answer

A parallel plate condenser with a dielectric of dielectric constant $K$ between the plates has a capacity $C$ and is charged to a potential of $V$ volts. The dielectric slab is slowly removed from between the plates and then reinserted. The net work done by the system in this process is

answered Feb 16, 2014 by thanvigandhi_1

1 answer

A parallel plate capacitor is made by stacking $n$ equally spaced plates connected alternatively. If the capacitance between any two adjacent plates is C then the resultant capacitance is

answered Feb 15, 2014 by thanvigandhi_1

1 answer

A parallel plate capacitor with air between the plates has a capacitance of $9\: pF$. The separation between the plates is $d$ . The space between the plates is now filled with two dielectrics. One of the dielectrics has dielectric constant $k_1=3$ and thickness $ \large\frac{d}{3}$ while the other has dielectric constant $k_2=6$ and thickness $ \large\frac{2d}{3}$. Capacitance of the capacitor is now

answered Feb 14, 2014 by thanvigandhi_1

1 answer

Three concentric spherical metallic shells A , B and C of radii a , b and c $\;(a < b < c)\;$ have charge densities $\;\sigma , - \sigma \; and \; \sigma\;$ respectively . If the shells A and C are at the same potential then the relation between a , b and c is

answered Feb 14, 2014 by yamini.v

1 answer

The intensity of an electric field depends on the coordinates x and y as follows $\;\overrightarrow{E}=\large\frac{a\;(x \hat{i} + y \hat{j})}{x^2+y^2}\;$ where a is constants. Find the charge within a sphere of radius R with the centre at the origin

answered Feb 14, 2014 by yamini.v

1 answer

A charged +Q is uniformly distributed in a spherical volume of radius R . A particle of charge +q and mass m projected with velocity $\;v_{0}\;$ from the surface of the spherical volume to its centre inside a smooth tunnel dug across the sphere . The minimum value of $\;v_{0}\;$ such that it just reaches the centre of the spherical volume is

answered Feb 13, 2014 by yamini.v

1 answer

Let C be the capacitance of a capacitor discharging through a resistor R. Suppose t1 is the time taken for the energy stored in the capacitor to reduce to half its initial value and t2 is the time taken for the charge to reduce to one-fourth its initial value. Then the ratio $ \large\frac{t1}{t2}$ will be

answered Feb 13, 2014 by thanvigandhi_1

1 answer

A charge q is placed at O in the cavity in a spherical uncharged conducter . Point S is outside the conducter . If q is displaced from O towards S (still remaining with in the cavity )

answered Feb 13, 2014 by yamini.v

1 answer

The curve represents the distribution of potential along the straight line joining the two charges $\;Q_{1}\;$ and $\;Q_{2}\;$ (separated by a distance r ) then which of the following are correct 1. $\;|Q_{1}| > |Q_{2}|\;$ 2. $\;Q_{1}\;is\;+ve\;$ 3. $\;A\;$ and $\;B\;$ are equibrium points 4. $\;C\;$ is point of unstable equilibrium

answered Feb 13, 2014 by yamini.v

1 answer

Find the electric field caused by a disc of radius "a" with a uniform charge density $\;\sigma\;$ , at a point along the axis of the disc a distance x from its centre .

answered Feb 12, 2014 by yamini.v

1 answer

Consider a spherical surface of radius 4m centred at the origin . Point +q and -2q are fixed at points $\;A (2m , 0 , 0)\;$ and $\;B (8m , 0 ,0)\;$ respectively . The potential on the surface of sphere is

answered Feb 12, 2014 by yamini.v

1 answer

A solid conducting sphere of radius a having a charge q is surrounded by a concentric conducting spherical shell of inner radius 2a and outer radius as shown in figure . Find the amount of heat produced when switch is closed

answered Feb 12, 2014 by yamini.v

1 answer

Figure shows two conducting thin concentric shells of radii r and 3r . The outer shell carries charge q . Inner shell is neutral . Find the charge that will flow from inner shell to outer after the switch S is closed .

answered Feb 12, 2014 by yamini.v

1 answer

An isolated conducting sphere whose radius $\;R=1 m \;$ has a charge $\;q=\large\frac{1}{9}\; \mu C\;$ .The energy density at the surface of the sphere is

answered Feb 11, 2014 by yamini.v

1 answer

The electrostatic potential due to the charge configuration at point P as shown in figure is $\;(b < < a)$

answered Feb 11, 2014 by yamini.v

1 answer

Two identical charges are placed at the two corners of an equilateral triangle . The potential energy of the system is $\;\sqcup\;.$ The work done in bringing an identical charge from infinity to the third vertex is

answered Feb 10, 2014 by yamini.v

1 answer

Three concentric spherical metallic shells A , B and C of radii a ,b and c $\;(c > b> a)\;$ have charge densities $\;\sigma , - \sigma \;and\; \sigma\;$ respectively . The potential of shell B is

answered Feb 10, 2014 by yamini.v

1 answer

A capacitor is charged and then made to discharge through a resistance. The time constant is $ \tau$. In what time will the potential difference across the capacitor decrease by 10%

answered Feb 10, 2014 by thanvigandhi_1

1 answer

A capacitor $C_1$ of capacitance $1 \mu F$ and $C_2$ of capacitance $ 2 \mu F$ are separately charged by a common battery for a long time. The two capacitors are then separately discharged through equal resistors. Both the discharge circuits are connected at $t=0$. One or more of the following happen.

answered Feb 8, 2014 by thanvigandhi_1

1 answer

A capacitor of capacitance $ 500 \mu F$ is connected to a battery through a $10k \Omega $resistor. Then, which of the following are true: \[\] The charge stored on the capacitor in the first $5s$ is larger than the charge stored in the next

answered Feb 8, 2014 by thanvigandhi_1

1 answer

Initially the spheres A and B are at potential $\;V_{A}\;$ and $\;V_{B}\;$ respectively . Now sphere B is earthed by closing the switch . The potential of A will now become

answered Feb 7, 2014 by yamini.v

1 answer

Find potential difference $\;V_{AB}\;$ between $\;A(0,0,0)$ and $\;B(1m ,1m, 0)\;$ in an electric field $\;\overrightarrow{E}=y \hat{i}+x \hat{j}$

answered Feb 7, 2014 by yamini.v

1 answer

There are four concentric shells A , B , C ,D of radii a , 2a ,3a and 4a respectively . Shells B and D are given charges +q and -q respectively . Shell C is now earthed . The potential difference $\;V_{A}-V_{C}\;$ is

answered Feb 7, 2014 by yamini.v

1 answer

If the electric potential of the inner shell is 10V and that of the outer shell is 5V , then the potential at the centre will be

asked Feb 7, 2014 by yamini.v

1 answer

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