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Electricity and Magnetism
Consider the two statements given below.
A. It is possible to describe electrostatic energy as coming from places where there is a charge density.
B. It is possible to describe electrostatic energy as coming from places where there is an electric field.
(a) A is correct but B is wrong
(b) B is correct but A is wrong
(c) Both A and B are wrong
(d) Both A and B are correct.
A. It is possible to describe electrostatic energy as coming from places where there is a charge density.
B. It is possible to describe electrostatic energy as coming from places where there is an electric field.
(a) A is correct but B is wrong
(b) B is correct but A is wrong
(c) Both A and B are wrong
(d) Both A and B are correct.
Electricity and Magnetism
A glass of relative permitivity 4 is kept in an external electric field of magnitude 10^2 Vm^-1. Calculate the polarization vector, molecular/ atomic polarisability and the reflective index of the glass.
Electricity and Magnetism
Consider the situation of the previous question. Suppose a charge q is now placed in the cavity.
(a) The electric field outside the conductor is the same as that before placing the charge q in the cavity.
(b) The electric field due to the charge q and that appearing on the surface of the cavity added together is zero at all points in the conductor.
(c) The electric field due to the charge q and that appearing on the surface of the cavity added together is zero at all points outside the conductor.
(d) The electric field at all points in the cavity due to the charge appearing on the outer surface of the conductor is zero.
(e) The charge on the outer surface of the conductor is Q + q
(Note:- This question have one or more than one correct choice(s) out of the four given choices. Any number of options may be correct.)
(a) The electric field outside the conductor is the same as that before placing the charge q in the cavity.
(b) The electric field due to the charge q and that appearing on the surface of the cavity added together is zero at all points in the conductor.
(c) The electric field due to the charge q and that appearing on the surface of the cavity added together is zero at all points outside the conductor.
(d) The electric field at all points in the cavity due to the charge appearing on the outer surface of the conductor is zero.
(e) The charge on the outer surface of the conductor is Q + q
(Note:- This question have one or more than one correct choice(s) out of the four given choices. Any number of options may be correct.)
Electricity and Magnetism
A charge Q is placed on a conductor having a cavity. There is no charge in the cavity.
(a) A charge density will appear on the surface of the cavity.
(b) The electric field at all points of the cavity due to the charge Q will be zero.
(c) The potential V1 at all points in the cavity will be the same.
(d) The potential V2 at all points in the conductor will be the same.
(e) The potential in the cavity and in the conductor are the same.
(Note:- This question have one or more than one correct choice(s) out of the four given choices. Any number of options may be correct.)
(a) A charge density will appear on the surface of the cavity.
(b) The electric field at all points of the cavity due to the charge Q will be zero.
(c) The potential V1 at all points in the cavity will be the same.
(d) The potential V2 at all points in the conductor will be the same.
(e) The potential in the cavity and in the conductor are the same.
(Note:- This question have one or more than one correct choice(s) out of the four given choices. Any number of options may be correct.)
Electricity and Magnetism
A copper block is placed somewhere and is given a charge Q. The surface charge density on the block and the electric field at a given external point are noted. Now this block is replaced by an aluminium block of the same shape and size and it is given the same charge Q.
(a) The surface charge density at a point on the copper block is more than that at the corresponding point on the aluminium block.
(b) The surface charge density at a point on the copper block is less than that at the corresponding point on the aluminium block.
(c) The surface charge density at a point on the copper block is the same as that at the corresponding point on the aluminium block.
(d) The electric field at the given external point is the same in the two situations.
(Note:- This question have one or more than one correct choice(s) out of the four given choices. Any number of options may be correct.)
(a) The surface charge density at a point on the copper block is more than that at the corresponding point on the aluminium block.
(b) The surface charge density at a point on the copper block is less than that at the corresponding point on the aluminium block.
(c) The surface charge density at a point on the copper block is the same as that at the corresponding point on the aluminium block.
(d) The electric field at the given external point is the same in the two situations.
(Note:- This question have one or more than one correct choice(s) out of the four given choices. Any number of options may be correct.)
Electricity and Magnetism
A spherical surface of radius R has a surface charge density σ = σ0 sinθ in standard notation of spherical coordinates with the origin at the center of the surface. σ0 is a constant. The electric potential at far away points will vary with the distance from the center as
(a) 1/r
(b) 1/r2
(c) 1/r3
(d) 1/r4
(Note:- This question have one or more than one correct choice(s) out of the four given choices. Any number of options may be correct.)
(a) 1/r
(b) 1/r2
(c) 1/r3
(d) 1/r4
(Note:- This question have one or more than one correct choice(s) out of the four given choices. Any number of options may be correct.)
Electricity and Magnetism
A charge distribution has a nonzero monopole moment Q and a dipole moment P with a particular choice of the origin. If the origin is changed,
(a) both Q and P change
(b) both Q and P will remain unchanged
(c) Q changes but P does not change
(d) Q remains unchanged but P changes
(Note:- This question have one or more than one correct choice(s) out of the four given choices. Any number of options may be correct.)
(a) both Q and P change
(b) both Q and P will remain unchanged
(c) Q changes but P does not change
(d) Q remains unchanged but P changes
(Note:- This question have one or more than one correct choice(s) out of the four given choices. Any number of options may be correct.)
Electricity and Magnetism
Consider ✗ and Y as defined above. Let ✗ be integrated over all Space. Then.
(a) ✗ > Y
(b) ✗ = Y
(c) ✗ < Y
(d) ✗ is not equal to Y
(Note:- This question have one or more than one correct choice(s) out of the four given choices. Any number of options may be correct.)
(a) ✗ > Y
(b) ✗ = Y
(c) ✗ < Y
(d) ✗ is not equal to Y
(Note:- This question have one or more than one correct choice(s) out of the four given choices. Any number of options may be correct.)
Electricity and Magnetism
Consider the two statements given below.
(A.) It is possible to describe electrostatic energy as coming from places where there is a charge density.
(B.) It is possible to describe electrostatic energy as coming from places where there is an electric field.
Options:-
(a) A is correct but B is wrong
(b) B is correct but A is wrong
(c) Both A and B are wrong
(d) Both A and B are correct.
(Note:- This question have one or more than one correct choice(s) out of the four given choices. Any number of options may be correct.)
(A.) It is possible to describe electrostatic energy as coming from places where there is a charge density.
(B.) It is possible to describe electrostatic energy as coming from places where there is an electric field.
Options:-
(a) A is correct but B is wrong
(b) B is correct but A is wrong
(c) Both A and B are wrong
(d) Both A and B are correct.
(Note:- This question have one or more than one correct choice(s) out of the four given choices. Any number of options may be correct.)
Electricity and Magnetism
Evaluate both sides of the divergence theorem for the vector field A= 5xy ax + xy² ay + 4z az
defined in the region 1≤ x ≤ 3, −2 ≤ y ≤ 4 and −1≤ z ≤ 2 .
defined in the region 1≤ x ≤ 3, −2 ≤ y ≤ 4 and −1≤ z ≤ 2 .
