A point charge Q is placed at a distance d from the centre of an uncharged conducting sphere of radius R. The potential of the sphere is (d > R) –
1.
2.
3.
4. zero
An electric field is given by . The potential of the point (1, –2), if potential of the point (2, 4) is taken as zero, is –
1.
2.
3.
4.
A conducting disc of radius R is rotating about its axis with an angular velocity . Then the potential difference between the centre of the disc and its edge is (no magnetic field is present)
1. zero
2.
3.
4.
A uniform electric field of 400 V/m exists in space as shown in graph. Two points A and B are also shown with their co-ordinates. The potential difference in volts, is –
1. 18 V
2. 15 V
3. 8 V
4. 12 V
Figure shows three circular arcs, each of radius R and total charge as indicated. The net electric potential at the centre of curvature is –
1.
2.
3.
4.
A neutral conducting spherical shell is kept near a charge q as shown. The potential at point P due to the induced charges is –
1.
2.
3.
4.
Two concentric uniformly charged spheres of radius 10 cm and 20 cm. are arranged as shown in figure. Potential difference between the sphere is –
1.
2.
3.
4. None of these
In a uniform field –
1. all points are at the same potential
2. pairs of points separated by the same distance must have the same potential difference
3. no two points can have the same potential
4. none of the above
Two metallic bodies separated by a distance of 20 cm, are given equal and opposite charges of the magnitude of 0.88C. The component of the electric field along the line AB, between the plates, varies as, where x (in meters) is the distance from one body towards the other body as shown.
1. The capacitance of the system is 10F
2. The capacitance of the system is 20F
3. The potential difference between A and C is 0.088 volt
4. The potential difference between A and C is cannot be determined from the given data
Electrical potential ‘v’ in space as a function of coordinates is given by, . Then the electric field intensity at (1, 1, 1) is given by –
1.
2.
3. zero
4.