Suppose that the particle in Exercise in 1.33 is an electron projected with velocity  vx = 2.0 × 106 ms . If E between the plates separated by 0.5 cm is  9.1×10 N/C , where will the  electron strike the upper plate?  (|e|=1.6 × 10-19 C, me =9.1 × 10-31 kg) .

Suppose that the particle in Exercise in 1.33 is an electron projected with velocity  vx = 2.0 × 106 ms . If E between the plates separated by 0.5 cm is  9.1×10 N/C , where will the  electron strike the upper plate?  (|e|=1.6 × Read More …

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. 1.33). The length of plate is L and an uniform electric field E is maintained between the plates. Show that the vertical deflection ofthe particle at the far edge of the plate is (qEL² / (2mvx²))Compare this motion with motion of a projectile in gravitational field discussed in Section 4.10 of Class XI Textbook of Physics

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. 1.33). The length of plate is L and an uniform electric field Read More …

(a) 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. (b) Verify this result for the simple configuration of two charges of the same magnitude and sign placed a certain distance apart.

(a) 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. (b) Verify this result for the Read More …

It is now believed that protons and neutrons (which constitute nuclei9 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 varieties of matter.) Suggest a possible quark composition of a proton and neutron.

It is now believed that protons and neutrons (which constitute nuclei9 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 Read More …

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

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

A hollow charged conductor has a tiny hole cut into its surface. Show that the electric field in the hole is (σ/2ε0)^n , , where nˆ is the unit vector in the outward normal direction, and σ  is the surface charge density near the hole.

A hollow charged conductor has a tiny hole cut into its surface. Show that the electric field in the hole is (σ/2ε0)^n , , where nˆ is the unit vector in the outward normal direction, and σ  is the surface charge density near the Read More …

(a) A conductor A with cavity as shown in Fig. 1.36(a) is given a charge Q. Show that the entire charge must appear on the outer surface of the conductor. (b) Another conductor B with charge q is inserted in to the cavity keeping B insulated from A. Show that the total charge on the outside surface of A is Q + q [Fig. 1.36(b)]. (c) A sensitive instrument is to be shielded from the strong electrostatic fields in the environment. Suggest a possible way.

(a) A conductor A with cavity as shown in Fig. 1.36(a) is given a charge Q. Show that the entire charge must appear on the outer surface of the conductor. (b) Another conductor B with charge q is inserted in to the Read More …

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 unformly 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?

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 unformly along the positive z-direction, at the rate of 105 NC-1 per metre. What are the force and Read More …

An oil drop of 12 excess electrons is held stationary under a constant electric field of  2.55 ×10 N C-1 in Millikan’s oil drop experiment. The density of the oil is 3 1.26g cm-3  . Estimate the radius of the drop. (g= 9.81ms -2 ; e =1.60× 10 -19C)

An oil drop of 12 excess electrons is held stationary under a constant electric field of  2.55 ×10 N C-1 in Millikan’s oil drop experiment. The density of the oil is 3 1.26g cm-3  . Estimate the radius of the drop. (g= Read More …

Two large, then 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/m2 . What is E: (a) In the outer region of the first plate, (b) In the outer region of the second plate, and (c)Between the plates?

Two large, then 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/m2 . What is E: (a) In the outer region of the Read More …

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