Assume that an electric field E = 30x i exists in space. Then the potential difference $V_A-V_0,V\; \_A\; -\; V\; \_\; 0\; ,$ where $V_{0}V\_\; 0$ is the potential at the origin and $V_{A}V\_A$ the potential at x = 2 m is

A parallel plate capacitor is made of two circular plates separated by a distance of 5 mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is $3\times 10^{4}V\mathrm{/}m,3\backslash times10^4\; V/m,$ the charge density of the positive plate will be close to:

Two point charges Q and –2Q are placed some distance apart. If the electric field at the location of Q is E, then the electric field at the location of –2Q will be

A conducting spherical bubble of radius a and thickness t (t << a) is charged to a potential V. Now it collapses to form a spherical droplet. The potential of the droplet is

A proton and an $\alpha \backslash alpha$–particle are situated at a distance ‘r’ apart. At very large distance apart, when released, the kinetic energy of proton will be

A capacitor of $20\mu F20\backslash mu\backslash ,F$ and charged to 500 V is connected in parallel with another capacitor of $10\mu F10\backslash mu\backslash ,F$ charged to 200 V. The common potential of the system is:

The force exerted by each plate on the other plate of a parallel plate capacitor of capacitance ‘C’ and separation between the plates ‘d’ with potential difference ‘V’ between the plates is given by

The potential of the electric field at any point (x, y, z) is given by: $V=3x^2+5,V\; =\; 3x^2+5,$ where x, y and z are in metres and V is in volts. The intensity of electric field at (–2, 1, 0)m is:

Taking earth to be a spherical conductor of diameter $12.8\times 10^{3}12.8\backslash times10^3$ km, its electrical capacitance is

Two bodies A and B carry charges of $-3.00\mu C-3.00\backslash ,\backslash mu\; C$ and $-0.44\mu C-0.44\backslash ,\backslash mu\; C$ respectively. How many electrons should be transferred, from which one to which, so that they acquire equal charges?