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Syllabus

q_{2}, the inner most shell has chargeq_{1}, and the middle shell is uncharged. The charge appearing on the inner surface of outermost shell is(1)

q_{1}_{ }+q_{2}(2) $\frac{{q}_{2}}{2}$ (3) –q_{1}$\left(A\right)\mathrm{cos}\theta \hat{i}+\mathrm{sin}\theta \hat{j}\phantom{\rule{0ex}{0ex}}\left(B\right)\hat{i}\phantom{\rule{0ex}{0ex}}\left(C\right)\hat{j}\phantom{\rule{0ex}{0ex}}\left(D\right)-\mathrm{sin}\theta \hat{i}+\mathrm{sin}\theta \hat{j}$

Which of the following statement is false for a perfect conductor in electrostatic condition?

Options:The surface of the conductor is an equipotential surface.

The electric field lines just outside the surface of a conductor is perpendicular to the surface.

The electric field is continuous across the surface of conductor.

The electric field is discontinuous across the surface of conductor.

Two concentric rings, one of radius a and oother of radius b have the charge +q and -(2/5) raised to -3/2 q respectively as shown in fig.find the ratio b/a if a charge particle placed on yhe axis at z=a is in equilibrium.aandb(a < b), charges Q1 and Q2 are given to inner and outer shell, then the potential V at a distance r from the origin is (r < a)A) kQ1/A + kQ2/b

B) KQ1/r + kQ2/a

C) KQ1/a + KQ2/r

D) k(Q1+Q2)/r

is put at-qR = 3mand released. The charge willa) 10 kV

b) 9 kV

c) 6 kV

d) 4 kV

a) The potential at point ‘O’ is b)Electric potential of the conductor is c) Electric potential at a point outside the shell at a distance r0 from center of shell

An electric dipole of moment p is placed in a position of stable equilibrium in a uniform electric field of intensity E.

What amount of work will be done if the dipole is rotated through an angle θ from its initial position?

Q. Four hollow concentric conducting spheres of radii R, 2R, 3R and 4R are having charges - 1 $\mu $C, 2 $\mu $C, - 3 $\mu $C, and + 4$\mu $C respectively. If the spheres of radii 2R and 3R are connected with a metallic wire, then the charge transferred between the spheres is

A) 0 $\mu $C

B) 0.5 $\mu $C

C) 1 $\mu $C

D) 3 $\mu $C

In the starting of lecture u made a graph between -9Q & +4Q of electric field and r .

I have no understood the graph possible for -ve electric field means below -9q and +4q

Area under yellow box

Two point charges +2q and -4q are fixed at points A(2,0,0)m and B(8,0,0)m. A spherical surface of radius 4m is centered at the origin. Show that every point on spherical surface is at zero potential.

a) increase

b) decrease

c) remain constant

d) may increase or decrease

F = T cos0. but what means it is taken so....