The electric potential at a point x , y , z is given by V = - x 2 y - yz 3 + 4 Find the electric field at that point.

Given the potential at a point ( x , y , z ) = V = - x 2 y - yz 3 + 4 . The electric field at a point is given by, E = - dV dr = δV δx i ^ + δV δy j ^ + δV δz k ^ . As δV δx = 2 xy + z 3 , δV δy = - x 2 , δV δz = - 3 xz 2 . Hence E = 2 x + z 3 i ^ + x 2 j ^ + 3 xz 2 k ^ .

Why are electric lines of forces not closed loop?

If the electric field lines form a closed loop, these lines must originate and terminate on the same charge which is not possible because electric field lines always move from positive to negative. Therefore, we say electrostatic field lines never form closed loops.

E M B I B E

Previous Years' Solved Papers: Physics West Bengal Board 12>Chapter 2 - Interaction of Charged Particles, Electric Field and Potential>West Bengal Board-2018>Q 3

EASY

12th West Bengal Board

IMPORTANT

Earn 100

Show that electrical field intensity is normal to the equipotential surface.

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

MEDIUM

12th West Bengal Board

IMPORTANT

Previous Years' Solved Papers: Physics West Bengal Board 12>Chapter 2 - Interaction of Charged Particles, Electric Field and Potential>West Bengal Board-2019>Q 4

Define electric dipole moment. An electric dipole is placed within a uniform electric field $(E)$ and is rotated to an angle $θ = 180 °$ . Find out the work done.

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