A cube of a metal is given a positive charge Q. For the above system, which of the following statements is true?
1. | Electric potential at the surface of the cube is zero. |
2. | Electric potential within the cube is zero. |
3. | Electric field is normal to the surface of the cube. |
4. | Electric field varies within the cube. |
Three charges \(Q\), \(+q \) and \(+q \) are placed at the vertices of an equilateral triangle of side \(l\) as shown in the figure. If the net electrostatic energy of the system is zero, then \(Q\) is equal to:
1. | \(-\frac{q}{2} \) | 2. | \(-q\) |
3. | \(+q\) | 4. | \(\text{zero}\) |
A thin spherical conducting shell of radius R has a charge q. Another charge Q is placed at the centre of the shell. The electrostatic potential at a point p which is at a distance from the centre of the shell is:
1.
2.
3.
4.
A charge of 10 e.s.u. is placed at a distance of 2 cm from a charge of 40 e.s.u. and 4 cm from another charge of 20 e.s.u. The potential energy of the charge 10 e.s.u. is: (in ergs)
1. | 87.5 | 2. | 112.5 |
3. | 150 | 4. | 250 |
In a certain charge distribution, all points having zero potential can be joined by a circle S. Points inside S have positive potential, and points outside S have a negative potential. A positive charge, which is free to move, is placed inside S. What is the correct statement about S:
1. | It will remain in equilibrium | 2. | It can move inside S, but it cannot cross S |
3. | It must cross S at some time | 4. | It may move, but will ultimately return to its starting point |
Two charges q1 and q2 are placed 30 cm apart, as shown in the figure. A third charge q3 is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is , where k is:
1. | 8q2 | 2. | 8q1 |
3 | 6q2 | 4. | 6q1 |
If the dielectric constant and dielectric strength be denoted by k and x respectively, then a material suitable for use as a dielectric in a capacitor must have:
1. high k and high x.
2. high k and low x.
3. low k and low x.
4. low k and high x.
Three capacitors of capacitances 3 μF, 9 μF and 18 μF are connected once in series and another time in parallel. The ratio of equivalent capacitance in the two cases will be:
1. 1 : 15
2. 15 : 1
3. 1 : 1
4. 1 : 3
Four capacitors each of capacity 3 μF are connected as shown in the adjoining figure. The ratio of equivalent capacitance between A and B and between A and C will be:
1. 4: 3
2. 3: 4
3. 2: 3
4. 3: 2
A parallel plate condenser is filled with two dielectrics as shown. Area of each plate is A metre2 and the separation is t metre. The dielectric constants are k1 and k2 respectively. Its capacitance in farad will be:
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2.
3.
4.