HARD
12th Telangana Board
IMPORTANT
Earn 100

Demonstrate that the potential of the field generated by a dipole, with electric moment P, may be represented as φ=p·r4πε0r3, where r is the radius vector. Using this expression, find the magnitude of the electric field strength vector as a function of r and θ.

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Important Questions on Electric Charges and Fields

HARD
12th Telangana Board
IMPORTANT
What is meant by an electric dipole. Define electric dipole moment. Derive an expression for intensity of electric field at an axial point of an electric dipole.
MEDIUM
12th Telangana Board
IMPORTANT
Derive an expression for the intensity of electric field due to an electric dipole on a point situated on its equatorial line.
EASY
12th Telangana Board
IMPORTANT
State Gauss's law for electrostatics.
MEDIUM
12th Telangana Board
IMPORTANT
A charge q is at the centre of a sphere. If now this charge is placed at the centre of a cylinder of same volume then what will be the ratio of net flux the two cases?
EASY
12th Telangana Board
IMPORTANT
If Coulomb’s law involved 1/r3 dependence (instead of 1/r2), would Gauss’s law be still true?
MEDIUM
12th Telangana Board
IMPORTANT
A small sphere of radius r1 and charge q1 is enclosed by a spherical shell of radius r2 and charge q2. Show that if q1 is positive, charge will necessarily flow from the sphere to the shell (when the two are connected by a wire) no matter what the charge q2 on the shell is.
EASY
12th Telangana Board
IMPORTANT
A point charge of 2.0 μC is at the center of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface? (0 = 8.854×10-12)
MEDIUM
12th Telangana Board
IMPORTANT
The flux entering and leaving a closed surface are 400 Nm2/Cand 800 Nm2/C respectively. What is the net charge enclosed by this surface?