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:
1. \( CV \over \varepsilon_0\)
2. \(2 CV \over \varepsilon_0\)
3. \( CV \over2 \varepsilon_0\)
4. zero

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. \(C/2\) and \(V/2\)
3. \(2C\) and \(V/2\)
4. \(C/2\) and \(2V\)

          
1. \(C\)
2. \(2C\)
3. \(\frac{C}{2}\)
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. \(1 \over r\)

2. \(1 \over r^2\)

3. \(1 \over r^3\)

4. \(1 \over r^4\)

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. \(\infty \)

         
1. \(C_{1}>C_{2}\)
2. \(C_{1}=C_{2}\)
3. \(C_{1}<C_{2}\)
4. the information is not sufficient to decide the relation between \(C_{1}\) and \(C_{2}\)