MEDIUM
12th West Bengal Board
IMPORTANT
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Point charge q moves from point P to point S along the path PQRS (as shown in figure, Fig. 2.115) in a uniform electric field E pointing co-parallel to the positive direction of X -axis. The coordinates of the points P, Q, R and S are (a,b,0), (2a,0,0), (a,-b,0) and (0,0,0) respectively. The work done by the field in the above process is given by the expression

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Important Questions on Interaction of Charged Particles, Electric Field and Potential

HARD
12th West Bengal Board
IMPORTANT
A positively charged thin metal ring of radius R is fixed in the xy place with its centre at the origin O. A negatively charged particle P is released from rest at the point 0,0,z0 where z0>0. Then the motion of p is
MEDIUM
12th West Bengal Board
IMPORTANT
A charge q is placed at the centre of the line joining two equal positive charges Q. The system of the three charges will be in equilibrium, if q is equal to -
EASY
12th West Bengal Board
IMPORTANT
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=+1 cm and C be the point on the Y-axis at y=+1 cm. Then the potentials at A, B and C satisfy-
EASY
12th West Bengal Board
IMPORTANT
Potential at any point inside a charged hollow sphere -
MEDIUM
12th West Bengal Board
IMPORTANT
A charge +q is fixed at each of the pointx=x0,x=3x0,x=5x0  to on the X -axis and a charge -q is fixed at each of the points of the points x=2x0,x=4x0,x=6x0. to , Here x0 is a positive constant. Take the electric potential at a point due to a charge Q at a distance r from it to be 14πε0Qr. Then, the potential at the origin due to the above system of the charges is -
EASY
12th West Bengal Board
IMPORTANT
Two equal negative charges -q are fixed at the points (0, a) and (0,-a) on the Y -axis. A positive charge Q is released from rest at the point (2a,0) on the X -axis. The charge Q will-
EASY
12th West Bengal Board
IMPORTANT
A hollow sphere of charge does not produce an electric field at any -
EASY
12th West Bengal Board
IMPORTANT
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 Fig. 2.116.