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A point charge causes an electric flux of –1.0 × 103 `Nm^2` /C to pass through a spherical Gaussian surface of 10.0 cm radius centred on the charge. What is the value of the point

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A conducting sphere of radius 10 cm has an unknown charge. If the electric field 20 cm from the centre of the sphere is 1.5 × 103 N/C and points radially inward, what is the net charge on the

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A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of 80.0 µC/m2 . Find the charge on the

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A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of 80.0 µC/m2 . What is the total electric flux leaving the surface of the

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An infinite line charge produces a field of 9 × 104 N/C at a distance of 2 cm. Calculate the linear charge

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Two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have surface charge densities of opposite signs and of magnitude 17.0 × 10–22 C/`m^2` . What is E:(i) in the outer region of the first plate,(ii) in the outer region of the second plate,(iii) between the

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An oil drop of 12 excess electrons is held stationary under a constant electric field of 2.55 × 104 `NC^(–1)` (Millikan’s oil drop experiment). The density of the oil is 1.26 g `cm^(–3)`. Estimate the radius of the drop. (g = 9.81 m`cm^(–2)`; e = 1.60 × 10–19

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Which among the curves shown in Fig. cannot possibly represent electrostatic field lines?

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Which among the curves shown in Fig. cannot possibly represent electrostatic field lines?

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Which among the curves shown in Fig. cannot possibly represent electrostatic field lines?

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Which among the curves shown in Fig. cannot possibly represent electrostatic field lines?

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In a certain region of space, electric field is along the z-direction throughout. The magnitude of electric field is, however, not constant but increases uniformly along the positive z-direction, at the rate of 105 NC–1 per metre. What are the force and torque experienced by a system having a total dipole moment equal to 10–7 Cm in the negative z-direction

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(i) A conductor A with a cavity as shown in Fig. is given a charge Q. Show that the entire charge must appear on the outer surface of the conductor.(ii) Another conductor B with charge q is inserted into the cavity keeping B insulated from A. Show that the total charge on the outside surface of A is Q + q [Fig.(b)].(iii) A sensitive instrument is to be shielded from the strong electrostatic fields in its environment. Suggest a possible

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A hollow charged conductor has a tiny hole cut into its surface. Show that the electric field in the hole is `(σ/2ε_0 )hatn` , where `hatn` is the unit vector in the outward normal direction, and σ is the surface charge density near the

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Obtain the formula for the electric field due to a long thin wire of uniform linear charge density E without using Gauss’s law. [Hint: Use Coulomb’s law directly and evaluate the necessary

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It is now believed that protons and neutrons (which constitute nuclei of ordinary matter) are themselves built out of more elementary units called quarks. A proton and a neutron consist of three quarks each. Two types of quarks, the so called ‘up’ quark (denoted by u) of charge + (2/3) e, and the ‘down’ quark (denoted by d) of charge (–1/3) e, together with electrons build up ordinary matter. (Quarks of other types have also been found which give rise to different unusual varieties of matter.) Suggest a possible quark composition of a proton and

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(i) Consider an arbitrary electrostatic field configuration. A small test charge is placed at a null point (i.e., where E = 0) of the configuration. Show that the equilibrium of the test charge is necessarily unstable.(ii) Verify this result for the simple configuration of two charges of the same magnitude and sign placed a certain distance

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A particle of mass m and charge (–q) enters the region between the two charged plates initially moving along x-axis with speed vx (like particle 1 in Fig. ). The length of plate is L and an uniform electric field E is maintained between the plates. Show that the vertical deflection of the particle at the far edge of the plate is `(qEL^2)/(2m v_x^2)`. Compare this motion with motion of a projectile in gravitational field discussed in Section 4.10 of Class XI Textbook of

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In Fig., two positive charges q2 and q3 fixed along the y axis, exert a net electric force in the + x direction on a charge q1 fixed along the x axis. If a positive charge Q is added at (x, 0), the force on

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A point positive charge is brought near an isolated conducting sphere (Fig. 1.2). The electric field is best given

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