Recent questions tagged electrostatic-potential-and-capacitance

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

asked 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

asked 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

asked 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)

asked 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 $\;+1 \mu C$ .

asked 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

asked 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

asked 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

asked 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

asked 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

asked 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

asked 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

asked 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

asked Feb 13, 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

asked 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

asked 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 )

asked 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

asked 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 .

asked 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

asked 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

asked 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 .

asked 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

asked Feb 11, 2014 by yamini.v

1 answer

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

asked 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

asked 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

asked 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%

asked 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.

asked 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

asked 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

asked 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 $\;\overrightarrow{E}=y \hat{i}+x \hat{j}$

asked 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

asked 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

Potential difference between centre and surface of the sphere of radius R and $\rho$ uniform volume charge density within it will be

asked Feb 7, 2014 by yamini.v

1 answer

Three concentric matallic shells A , B and C of radii R , 2R and 3R have surface charge densities $\;\sigma , -\sigma\;and\;\sigma\;$ respectively . Find the potential difference between A & C

asked Feb 7, 2014 by yamini.v

1 answer

Two concentric conducting spheres of radii R and 2R are carrying charges Q and -2Q respectively . If the charge on inner sphere is doubled the potential difference between the two spheres will becomes

asked Feb 7, 2014 by yamini.v

1 answer

A $4 \mu F$ capacitor and a 2.5MW resistor are connected in series with a 12V battery. Find the time after which the potential difference across the capacitor is 3 times the potential difference across the resistor.

asked Feb 6, 2014 by thanvigandhi_1

1 answer

Calculate the potential energy of the system shown in figure

asked Feb 6, 2014 by yamini.v

1 answer

An infinite number of charges each numerically equal to q and of the same sign are placed along the x-axis at $\;x=1 ,2 ,4 ,8----\;.$ Find elctric potential at $\;x=0$

asked Feb 6, 2014 by yamini.v

1 answer

At a certain distance from a point charge , the field intensity is $\;500 V/m\;$ and the potential is 1500 V . The magnitude of charge is

asked Feb 6, 2014 by yamini.v

1 answer

If the potential at the centre of a uniformly charged hollow sphere of radius R is V then electric field at a distance r from the centre of sphere will be $\;(r > R)$

asked Feb 6, 2014 by yamini.v

1 answer

The potential at a point x due to some charges situated on the x- axis is given by $\;V (x) = \large\frac{20}{(x^2-4)} volt\;$. The electric field at x = 4m is given by

asked Feb 6, 2014 by yamini.v

1 answer

A charge particle 'q' is shot towards another charged particle 'Q' which is fixed , with a speed 'v'.It approaches 'Q' upto a closest distance r and then returns . If q were given a speed of '2v' the closest distance of approach would be

asked Feb 6, 2014 by yamini.v

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 ?

asked Feb 5, 2014 by yamini.v

2 answers

The electric field and the electric potential at a point are E and V respectively

asked Feb 5, 2014 by yamini.v

1 answer

A point charge q is rotated along a circle in the electric field generated by another point charge Q . The work done by the electric field on the rotating charge in one complete revolution is

asked Feb 5, 2014 by yamini.v

1 answer

Electric potential has the dimensions of

asked Feb 5, 2014 by yamini.v

1 answer

Electric potential on the surface of a solid sphere of radius R is V . Then potential at $\;r=\large\frac{R}{2}\;$ is

asked Feb 5, 2014 by yamini.v

1 answer

Four charges q , -q , q , -q are placed in order on the four consecutive corners of a square of side a . The work done in interchanging the positions of any two neighbouring charges of the opposite sign is

asked Feb 5, 2014 by yamini.v

1 answer

The electrical potential existing in space is $\;V\;(x , y, z) = A\;(xy+yz+zx)\;$ . Find the expression for the electric field

asked Feb 5, 2014 by yamini.v

1 answer

A particle with kinetic energy $\;10\;MeV\;$ and charge $\;4e\;$ is heading towards a stationary nucleus of atomic number 100 . Calculate the distance of closest approach ?

asked Feb 4, 2014 by yamini.v

1 answer

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