Consider the situation of the previous problem. The force on the central charge due to the shell is

1. towards left

2. towards right

3. upward

4. zero.

Previous problem: A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q₁ is placed outside it as shown in figure. All the three charges are positive.
                       

A capacitor of capacitance \(C\) is charged to a potential \(V.\) The flux of the electric field through a closed surface enclosing the capacitor is:

Two capacitors each having capacitance \(C\) and breakdown voltage \(V\) are joined in series. The capacitance and the breakdown voltage of the combination will be:   
1. \(2C\) and \(2V\)
2. \(\dfrac{C}{2}\) and \(\dfrac{V}{2}\)
3. \(2C\) and \(\dfrac{V}{2}\)
4. \(\dfrac{C}{2}\) and \(2V\)

          
1. \(C\)
2. \(2C\)
3. \(\dfrac{C}{2}\)
4. none of these

A dielectric slab is inserted between the plates of an isolated capacitor. The force between the plates will: 
1. increase
2. decrease
3. remain unchanged
4. become zero

The energy density in the electric field created by a point charge falls off with the distance from the point charge as:
1. \(\dfrac{1}{r}\)

2. \(\dfrac{1}{r^2}\)

3. \(\dfrac{1}{r^3}\)

4. \(\dfrac{1}{r^4}\)

A parallel-plate capacitor has plates of unequal area. The larger plate is connected to the positive terminal of the battery and the smaller plate to its negative terminal. Let Q₊ and Q_- be the charges appearing on the positive and negative plates respectively.

1.  Q₊ > Q_–

2.  Q₊ = Q_– 

3.  Q₊ < Q_-

4.  The information is not sufficient to decide the relation between Q₊ and Q_–

1. \(C/2\)
2. \(2C\)
3. \(0\)
4. \(\infty \)