In a certain region of space, electric field is along the z-direction throughout. The magnitude of electric field is , however, not constant but increases uniformly along the positive z-direction. At the rate of `10^(5)NC^(-1)m^(-1)` . What are the force and torque experienced by system having a total dipole moment equal to `10^(-7)`Cm in the negative z-direction?

In a certain 0.1 m^(3) of space, electric potential is found to be 5 V throughout. What is the electric field in this region ?

A square loop of side 12 cm with its sides parallel to X and Y axes is moved with a velocity of 8 cm s^(-1) in the positive x-direction in an environment containing a magnetic field in the positive z-direction. The field is neither uniform in space nor constant in time. It has a gradient of 10^(-3) T cm^(-1) along the negative x-direction (that is it increases by 10^(-3) T cm^(-1 ) as one moves in the negative x-direction), and it is decreasing in time at the rate of 10^(-3) T s^(-1) . Determine the direction and magnitude of the induced current in the loop if its resistance is 4.50 mOmega .

A plane electromagnetic wave travels in vacuum along z-direction. What can you say about the direction of electric and magnetic field vectors?

A proton is moving with a velocity of 5 xx 10^(5) m//s along the Y-direction. It is acted upon by an electric field of intensity 10^(5) V/m along the X-direction and a magnetic field of 1 Wb//m^(2) along the Z-direction. Then the Lorentz force on the particle is :

The position vector vecr of a particle points along the positive direction of a z axis. If the torque on the particle is (a) zero, (b) in the negative direction of x, and ( c) in the negative direction of y, in what direction is the force causing the torque?

The electric potential in a region is given by the relation V(x) = 4+5x^2 . If a dipole is placed at position (-1,0) with dipole moment vecP pointing along positive y-direction, then