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Two point like charges q1 and q2 are fixed in free space. At every point on the curve shown, the net electrostatic potential created by these charges is V. Find the separation r between the charges.
01
Sep
Two point like charges q1 and q2 are fixed in free space. At every point on the curve shown, the net electrostatic potential created by these charges is V. Find the separation r between the charges. the net electrostatic potential created by these charges is V. Find the separation r between the charges. Two point [...]
A positive charge +Q is fixed at a point A. Another positively charged particle of mass m and charge +q is projected from a point B with velocity u as shown in (Fig. 3.103). Point B is at a large distance from A and at distance d from the line A C. The initial velocity is parallel to the line A C. The point C is at a very large distance from A. Find the minimum distance (in meter) of +q from +Q during the motion. Take Qq=4πε0mu2d and d(2–√−1)m.
01
Sep
A positive charge +Q is fixed at a point A. Another positively charged particle of mass m and charge +q is projected from a point B with velocity u as shown in (Fig. 3.103). Point B is at a large distance from A and at distance d from the line A C. The initial velocity [...]
The potential in the electric field varies as V = -ax^2 + b with respect to x-coordinate, where a and b are constants. Find the charge density p(x) in a space.
01
Sep
The potential in the electric field varies as V = -ax^2 + b with respect to x-coordinate, where a and b are constants. Find the charge density p(x) in a space. The potential in the electric field varies as V = -ax^2 + b with respect to x-coordinate where a and b are constants. Find [...]
Two isolated metallic solid spheres of radii R and 2R are charged such that both of these have same charge density σ. The spheres are located far away from each other and connected by a thin conducting wire. Find the new charge density on the bigger sphere.
01
Sep
Two isolated metallic solid spheres of radii R and 2R are charged such that both of these have same charge density σ. The spheres are located far away from each other and connected by a thin conducting wire. Find the new charge density on the bigger sphere. b and c are shown in (Fig. 3.100). [...]
A conducting sphere S1 of radius r is attached to an insulating handle. Another conduction sphere S2 of radius R is mounted on an insulating stand. S2 is initially uncharged. S1 is given a charge Q brought into contact with S2 and removed. S1 is recharge such that the charge on it is again Q and it is again brought into contact with S2 and removed. This procedure is repeated n times. a. Find the electrostatic energy of S2 after n such contacts with S1. b. What is the limiting value of this energy as n→∞ ?
01
Sep
A conducting sphere S1 of radius r is attached to an insulating handle. Another conduction sphere S2 of radius R is mounted on an insulating stand. S2 is initially uncharged. S1 is given a charge Q brought into contact with S2 and removed. S1 is recharge such that the charge on it is again Q [...]
Three concentric conducting shells of radii a, b and c are shown in (Fig. 3.100). Charge on the shell of radius b is Q. If the key K is closed, find the charges on the innermost and outermost shells and the radio of charge densities of the shells. Given that a:b:c=1:2:3.
01
Sep
Three concentric conducting shells of radii a, b and c are shown in (Fig. 3.100). Charge on the shell of radius b is Q. If the key K is closed, find the charges on the innermost and outermost shells and the radio of charge densities of the shells. Given that a:b:c=1:2:3. b and c are [...]
A non-conducting disc of radius a and uniform positive surface charge density σ is placed on the ground, with its axis vertical. A particle of mass m and positive charge q is dropped, along the axis of the disc, from a height H with zero initial velocity. The particle has q/m=4∈0g/σ (a) Find the value of H if the particle just reaches the disc. (b) Sketch the potential energy of the particle as a function of its height and find its equilibrium position.
01
Sep
A non-conducting disc of radius a and uniform positive surface charge density σ is placed on the ground, with its axis vertical. A particle of mass m and positive charge q is dropped, along the axis of the disc, from a height H with zero initial velocity. The particle has q/m=4∈0g/σ (a) Find the value [...]
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a charge q is imparted to the inner shells. Now ,
A non-conducting disc of radius a and uniform positive surface charge density σ is placed on the ground ,
along the axis of the disc ,
B ,
C ,
find the potential difference between the shells. Note that finally key K2 remains closed. ,
Four charge the particles each having charge Q are fixed at the comers of the base (at A ,
key K1 is closed and opened and then key K2 is closed and opened. After the keys K1andK2 are alterbately closed n times each ,
Two concentric shells of radii R and 2R are shown in (Fig. 3.115). Initially ,
with its axis vertical. A particle of mass m and positive charge q is dropped ,
A conducting sphere of radius R having charge Q is placed in a uniform external field E. O is the centre of the sphere and A is a point on the sphere of the sphere such that AO makes an angle of θ0=60∘ with the opposite direction fo external field. calculate the potential at point A due to charge on the sphere only.
01
Sep
A conducting sphere of radius R having charge Q is placed in a uniform external field E. O is the centre of the sphere and A is a point on the sphere of the sphere such that AO makes an angle of θ0=60∘ with the opposite direction fo external field. calculate the potential at point [...]
Tags:
a charge q is imparted to the inner shells. Now ,
B ,
C ,
find the potential difference between the shells. Note that finally key K2 remains closed. ,
Four charge the particles each having charge Q are fixed at the comers of the base (at A ,
key K1 is closed and opened and then key K2 is closed and opened. After the keys K1andK2 are alterbately closed n times each ,
Two concentric shells of radii R and 2R are shown in (Fig. 3.115). Initially ,
Four charge the particles each having charge Q are fixed at the comers of the base (at A, B, C, and D) of .a square pyramid with slant length a (AP = BP = DP = PC= a). A charge -Q is fixed at point P. A dipole with dipole moment P is placed at’the center of base and perpendicular to its plane as shown in Fig. 3.122. Find a). the force on dipole due to charge particles, and b). the potential energy of the system.
01
Sep
Four charge the particles each having charge Q are fixed at the comers of the base (at A, B, C, and D) of .a square pyramid with slant length a (AP = BP = DP = PC= a). A charge -Q is fixed at point P. A dipole with dipole moment P is placed at’the [...]
Tags:
a charge q is imparted to the inner shells. Now ,
B ,
C ,
find the potential difference between the shells. Note that finally key K2 remains closed. ,
Four charge the particles each having charge Q are fixed at the comers of the base (at A ,
key K1 is closed and opened and then key K2 is closed and opened. After the keys K1andK2 are alterbately closed n times each ,
Two concentric shells of radii R and 2R are shown in (Fig. 3.115). Initially ,
Two concentric spherical shells have radii R and 2R. The outer shell is grounded and the inner one is given a charge +Q. A small particle having mass m and charge – q enters the outer shell through a small hole in it. The speed of the charge entering the shell was u and its initial line of motion was at a distance a=2–√R from the centre. (a) Find the radius of curvature of the path of the particle immediately after it enters the shell. (b) Find the speed with which the particle will hit the inner sphere. Assume that distribution of charge on the spheres do not change due to presence of the charge particle
01
Sep
Two concentric spherical shells have radii R and 2R. The outer shell is grounded and the inner one is given a charge +Q. A small particle having mass m and charge – q enters the outer shell through a small hole in it. The speed of the charge entering the shell was u and its [...]
Tags:
a charge q is imparted to the inner shells. Now ,
find the potential difference between the shells. Note that finally key K2 remains closed. ,
key K1 is closed and opened and then key K2 is closed and opened. After the keys K1andK2 are alterbately closed n times each ,
Two concentric shells of radii R and 2R are shown in (Fig. 3.115). Initially ,