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Syllabus

Positive charge Q is distributed uniformly throughout an insulating sphere of radius R, centered

at the origin. A particle with positive charge Q is placed at x = 2R on the x axis. The

magnitude of the electric field at x = R/2 on the x axis is:

A. Q/4πε

_{0}R^{2}B. Q/8πε

_{0}R^{2}C. Q/72πε

_{0}R^{2}D. 17Q/72πe

_{0}R^{2}E. none of these

A copper wire of diameter d is immersed in an oil of density rho not. There is a uniform electric field E directed vertically upwards such that the copper ball remains just suspended in the oil. Density of copper is rho c. The charge on the ball is ?

Two identical charged spheres are suspended by strings of equal lengths .The string makes an angle of 30 with each other When suspended in liquid of density 0.8g/cm^3, The angle remains the same.if density of material of sphere is 1.6g/cm^3 the dielectric constant of liquid is?a) both force and torque

b) only force

c) only torque

d) neither force nor torque

please explain

Two similiarly and equally charged identical metal sphere A and B repel each other with a force of 2*10^{-5}N. A third identical uncharged sphere C is touched with A and then placed at the mid point between A and b . Calculate the net electric force on C.electric field intensity at a point in between two parallel sheets with like charges of same surface density is??PLEASE DON'T SEND THE LINK.

(c) 4 N (repulsive) (d) 12 N (attractive)

density σ) is passed through a sphere as shown in

the figure. The flux passing through the sphere is.

one face of it is just inside a uniformly charged ring

of radius R as shown. The flux passing through the cube is

1) πRλ/6ε

_{0}2)πRλ/4ε

_{0}3)πRλ/3ε

_{0}4) πRλ/2ε

_{0}a) constant

b) first increases then decreases

c) first decreases then increases

d) decreases continuously

answer is c. please explain

A cylinder with adiabatic walls contains water. The cylinder is closed on top with a metal cover with area A, thickness b, thermal conductivity K, Heat capacity of water is c, temperature of surroundings is ${T}_{0}$, assumed to be constant. An electric heater produces heat at a rate H. Find the temperature of water as function of time after the heater is switched on

The field outside the sphere at a distance r will be.??

Of charge Q initially on a tiny sphere a portion,a portion q is to be transferred to a second nearby sphere. Both spheres can be treated as particles. For what value of q/Q will the electrostatic force between two spheres be maximum?