Question

For a given surface the Gauss's law is stated as $$\oint {\vec E.dA = 0} .$$   From this we can conclude that

A. $$E$$ is necessarily zero on the surface
B. $$E$$ is perpendicular to the surface at every point
C. the total flux through the surface is zero  
D. the flux is only going out of the surface
Answer :   the total flux through the surface is zero
Solution :
$$\oint {\vec E.d\vec A = 0} ,$$   represents charge inside close surface is zero. Electric field as any point on the surface may be zero.

Releted MCQ Question on
Electrostatics and Magnetism >> Electric Field

Releted Question 1

A hollow metal sphere of radius $$5 cms$$  is charged such that the potential on its surface is $$10\,volts.$$  The potential at the centre of the sphere is

A. zero
B. $$10\,volts$$
C. same as at a point $$5 cms$$  away from the surface
D. same as at a point $$25 cms$$  away from the surface
Releted Question 2

Two point charges $$ + q$$  and $$ - q$$  are held fixed at $$\left( { - d,o} \right)$$  and $$\left( {d,o} \right)$$  respectively of a $$x-y$$  coordinate system. Then

A. The electric field $$E$$ at all points on the $$x$$-axis has the same direction
B. Electric field at all points on $$y$$-axis is along $$x$$-axis
C. Work has to be done in bringing a test charge from $$\infty $$ to the origin
D. The dipole moment is $$2qd$$  along the $$x$$-axis
Releted Question 3

Three positive charges of equal value $$q$$ are placed at the vertices of an equilateral triangle. The resulting lines of force should be sketched as in

A. Electric Field mcq option image
B. Electric Field mcq option image
C. Electric Field mcq option image
D. Electric Field mcq option image
Releted Question 4

A uniform electric field pointing in positive $$x$$-direction exists in a region. Let $$A$$ be the origin, $$B$$ be the point on the $$x$$-axis at $$x = + 1cm$$   and $$C$$ be the point on the $$y$$-axis at $$y = + 1cm.$$   Then the potentials at the points $$A,B$$  and $$C$$ satisfy:

A. $${V_A} < {V_B}$$
B. $${V_A} > {V_B}$$
C. $${V_A} < {V_C}$$
D. $${V_A} > {V_C}$$

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Electric Field


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