Four point charges –Q,-q,2q,2Q are placed at different corners of a square . The relation between Q and q for which the potential at the center of the square is zero
1.Q=q
2.Q=1/q
3.Q=-q
4. Q=-1/q
Electric potential at a distance r from the point charge is proportional to
1. \(r^2\)
2. r-1
3. r0
4. r+1
The electric potential V at any point (x,y,z) all in meters in space is given by V=4x2 volts. The electric field at the point (1,0,2) in volt/meter is
1. 8 along negative X axis
2. 8 along positive X axis
3. 16 along negative X axis
4. 16 along positive X axis
Graph represents q verses V for two capacitors having same plate separation but different plate area . Which is the correct option
Three capacitors of 6μf each are connected across a triangle. What is the resultant capacitance across any side of the triangle.
1. 6 μf
2. 2 μf
3. 4 μf
4. 12μf
A Solid conducting sphere having a charge Q is surrounded by an uncharged concentric conducting spherical shell. Let the potential difference between the surface of the solid sphere and the outer of the shell be V. If the shell is given a charge -3Q the new potential difference between the same two surfaces is
1. 2V
2. V/2
3. V
4. -2V
Four charges 2C,-3C,-4C and 5C respectively are placed at the four corners of a square .Which of the following statements is true for the point of intersection of the diagonals.
1. E=0,V=0
2. E=0 V≠0
3. E≠0 V=0
4. E≠0 V≠0
In the above diagram \(C_2\) is twice of Capacitance of \(C_1\) which is C. Find the ratio of energy stored in the combination before and after the insertion of of a dielectric constant K in both the capacitors.(Battery is disconnected)
15 joule of work has to be done against an existing electric field to take charge of 0.01C from A to B . Then potential difference ( \(V_B\) –\(V_A\))is
1. 1500 volts
2. -1500 V
3 .0.15 Volt
4 .15 Volt
For any charge configuration equipotential surface through a point is normal to the electric field.
1. Since W=Fscosθ is zero so field is normal to the surface
2. As W≠0
3. Work done can be Zero if Field is parallel to the field
4. None of these
Two point charges, \(q_1\) = 10 × \(10^{-8}\)C, \(q_2\) = -2 × \(10^{-8}\)C are seperated by a distance of 60 cm in air what is the electrostatic potential energy of the system.
1) 3 joule
2) -3 joule
3) -3 x\(10^{-5}\) joule
4) 3 x\(10^{-5}\) joule
A point charge Q is placed at point ‘O’ as shown in figure. Is the potential at point A, i.e., , greater, smaller or equal to potential, at point B, when Q is (i) positive, and (ii) negative charge?
Does the charge given to a metallic sphere depend on whether it is hollow or solid?
What is the geometrical shape of equipotential surfaces due to an isolated charge ?
Why are electric field lines perpendicular at a point on an equipotential surface of a conductor ?