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A potential field is given by V 5 3x^2 y - yz. Which of the following is not true?

(a) At point (1, 0, -1) V and E vanish.

(b) x^2 y = 1 is an equipotential line on the xy-plane.

(c) The equipotential surface V= -8 passes through point P+2, -1, 4

. (d) The electric field at P is 12ax - 8ay - az V/m.

(e) A unit normal to the equipotential surface V =-8 at P is -0.83ax + 0.55ay + 0.07az


A potential field is given by V = 3x^2 y - yz. Which of the following is not true?

(a) At point (1,0,-1) both V and E vanish.

(b) x^2 y = 1 is an equipotential line on the xy-plane.

(c) The equipotential surface V = -8 passes through point P(2, -1, 4).

(d) The electric field at P (2,-1,4)is a 12ax - 8ay - az

(e) none of the above


A potential field is given by V 5 3x2 y 2 yz. Which of the following is not true?

(a) At point 11, 0, 212, V and E vanish.

(b) x2 y 5 1 is an equipotential line on the xy-plane.

(c) The equipotential surface V 5 28 passes through point P+2, -1, 4

. (d) The electric field at P is 12ax 2 8ay 2 az V/m.

(e) A unit normal to the equipotential surface V 5 28 at P is 20.83ax 1 0.55ay1 0.07az.


By saying that the electrostatic field is conservative, we do not mean that

(a) It is the gradient of a scalar potential.

(b) Its circulation is identically zero.

(c) Its curl is identically zero.

(d) The work done in a closed path inside the field is zero.

(e) The potential difference between any two points is zero.


Suppose a uniform electric field exists in the room in which you are working, such that the lines of force are horizontal and at right angles to one wall. As you walk toward the wall from which the lines of force emerge into the room, are you walking toward


A charge Q is uniformly distributed throughout a sphere of radius a. Taking the potential at infinity as zero, the potential at r = b < a is


The electric flux density on a spherical surface r 5 b is the same for a point charge Q located at the origin and for charge Q uniformly distributed on surface r =a(a<b)


A long straight wire of radius R carries a steady current I. The current is uniformly distributed over its cross section. The magnetic field at a distance 2a/3 from its centre is


An object which is 6.0 cm tall is situated 20 cm from a converging lens of 15 cm focal length. Determine the position and nature of the image


An object 6 cm high is located in front of a convex spherical mirror of radius 40 cm. Determine the position and the nature of the image.


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