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An electric dipole is placed along the x-axis at the origin O. A point P is at a distance of 20 cm from this origin such that OP makes an angle T/3 with the x-axis. If the electric field at P makes an angle 0 with the x-axis, the value of 0 would
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A spherically symmetric charge distribution is characterised by a charge density having the following variations: `rho(r)=rho_o (1-r/R)` for `r < R rho(r)=0` for `r ge R` Where r is the distance from the centre of the charge distribution p, is a constant. The electric field at an internal point (r < R)
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A charge q is placed at the centre of the open end of a cylindrical vessel. The flux of the electric field through the surface of the vessel is
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A short electric dipole of dipole moment `vecp` is placed at a distance r from the centre of a solid metallic sphere of radius a
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A semi-circular arc of radius ‘a’ is charged uniformly and the charge per unit length is A. The electric field at the centre of this arc
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A hollow cylinder has a charge q coulomb within it. If `phi` is the electric flux in units of voltmeter associated with the curved surface B, the flux linked with the plane surface A in units of voltmeter will
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A point Q lies on the perpendicular bisector of an electrical dipole of dipole moment p. If the distance of Q from the dipole is r(much larger than the size of the dipole), then the electric field at Q is proportional
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Mar 20, 2022
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A solid sphere of radius R has a charge Q distributed in its volume with a charge density `rho = k r^a`, where k and a are constants and r is the distance from its centre. If the electric field at `r = R/2` is `1/8`. times that at `r = R,` find the value of
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The spatial distribution of electric field due to charges (A, B) is shown in figure. Which one of the following statements is correct
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A small sphere carrying a charge q' is hanging in between two parallel plates by a string of length L. Time period of pendulum is `T_o`. When parallel plates are charged, the time period changes to T. The ratio T/`T_o` is equal
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In a medium of dielectric constant K, the electric field is E. If `in_o` is permittivity of the free space, the electric displacement vector
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Three charges `-q_1, +q_2, and -q_3`, are R placed as shown in the figure. The x - component of the force on `-q_1`,
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An oil drop of radius r and density `rho` is held stationary in a uniform vertically upwards electric field 'E'. If `rho_0 (< rho)` is the density of air and e is quanta of charge, then the drop
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Mar 20, 2022
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A surface has the area vector `vecA= (2hati + 3hatj)m^2`. The flux of an electric field through itifthe field is `vecE=-4hati V/m`
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Mar 20, 2022
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Two small similar metal spheres A and B having charges 4q and – 4q, when placed at a certain distance apart, exert an electric force F on each other. When another identical uncharged sphere C, first touched with Athen with B and then removed to infinity, the force of interaction between A and B for the same separation will
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A square surface of side L. meter in the plane of the paper is placed in a uniform electric field `E ('volt'/m)` acting along the same plane at an angle `theta` with the - horizontal side of the square as shown in Figure. The electric flux linked to
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Two point dipoles of dipole moment `vecp_1 and vecp_2`. are at a distance x from each other and `vecp_1`||`vecp_2`. The force between the dipoles is
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Mar 20, 2022
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In a uniformly charged sphere of total charge Q and radius R, the electric field E is plotted as function of distance from the centre. The graph which would correspond to the above will
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A particle of mass m and charge q is placed r at rest in a uniform electric field E and then released. The kinetic energy attained by the particle after moving a distance y
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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 the figure. The point B is at the large distance from A and at distance d from the line AC. The initial velocity is parallel to the line AC. The point C is at very large distance from A. The minimum distance (in meter) of +q from +Q during the motion is `d (1+sqrtA)`. Find the value of A. [Take `Qq= 4πε_0 mu^2d and d=(sqrt2-1)`
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