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Let denote the permittivity of vacuum, the dimensional formula of the ε_{0} is let M = Mass, L = length, T = time and I = electric current. Then
Using Coulomb law, F = 1/4πϵ0(q^{1}q^{2}/R^{2})
⇒ϵ0 = q_{1}q^{2/4}πFR^{2}
Substituting the units in the equation:
So, ϵ0 = C^{2}/N.m^{2}
=[AT]2/MLT^{2}.L^{2}
[∈_{0}]=[M^{1}L^{3}T^{4}A^{2}]
A charge q_{1} exert some force on a second charge q_{2}. If a third charge q_{3} is brought near q_{1} the force exerted by q_{1} on q_{2}
The correct answer is: Remain the same
An electric dipole is place in a uniform electric field. The net electric force on the dipole
The correct answer is: The electric dipole potential varies as 1/r at large distance
A charge particle is free to move in an electric field. It will travel
The correct answer is: Along a line of force, if its initial velocity is zero
A uniform electric field of 100 V/m is directed at 30° with the positive xaxis as shown in figure. Find the potential difference V_{BA}. If OA = 2m and OB = 4m. O is the origin.
Electric field in vector form can be written
A = (–2m, 0, 0)
B = (0.4m, 0)
V_{AB} = V_{B} – V_{A}
The curve represents the distribution of potential along the straight line joining. The two charge Q_{1} and Q_{2} (separated by a distance r) then which of the following statement is correct?
(1) Q_{1} > Q_{2}
(2) Q_{1} is positive in nature
(3) A and B are equilibrium
The correct answer is: 1, 2 and 3
The number of electrons to be put on a spherical conductor of radius 0.1m to produce on electric field of 0.036NC^{1} just above its surface is
Proton is nearly 1836 times more massive than the electron. The coulomb force of repulsion between two proton separated by a finite distance is F. The electrostatic force between two electron separated by the same distance is
Coulomb force is determined by charges not by masses.
The correct answer is: F
Two unlike charges of magnitude q are separates by a distance 2d. The potential at C point midway between them is
The correct answer is: 0
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