The electric potential V at any point (x, y, z) is given by V = 3x² where x is in metres and V in volts. The electric field at the point (1 m, 0, 2m) is -

Which of the diagrams correctly represents the electric field between two charged plates if a neutral conductor is placed in between the plates?

A variable capacitor is connected to a 200 V battery. If its capacitance is changed from 2 $$\mu$$F to X $$\mu$$F, the decrease in energy of the capacitor is 2 $$\times$$ 10^$$-$$2 J. The value of X is -

A potential difference of 200 V is maintained across a conductor of resistance 100 $$\Omega$$. The number of electrons passing through it in 1s is