1. | the electric field inside the surface is necessarily uniform. |
2. | the number of flux lines entering the surface must be equal to the number of flux lines leaving it. |
3. | the magnitude of electric field on the surface is constant. |
4. | all the charges must necessarily be inside the surface. |
1. | \(2~\text{mC}\) | 2. | \(8~\text{mC}\) |
3. | \(6~\text{mC}\) | 4. | \(4~\text{mC}\) |
According to Gauss's law in electrostatics, the electric flux through a closed surface depends on:
1. | the area of the surface |
2. | the quantity of charges enclosed by the surface |
3. | the shape of the surface |
4. | the volume enclosed by the surface |
1. | \(2\) | 2. | \(4\) |
3. | \(6\) | 4. | \(8\) |
1. | \(\dfrac{q}{6} \varepsilon_{0}\) | 2. | \(\dfrac{q}{18} \varepsilon_{0}\) |
3. | \(\dfrac{q}{24} \varepsilon_{0}\) | 4. | \(\dfrac{q}{48} \varepsilon_{0}\) |
1. | zero | 2. | \(4\dfrac{kq}{a^2}\) |
3. | \(2\dfrac{kq}{a^2}\) | 4. | \(2\sqrt2\dfrac{kq}{a^2}\) |
Twelve point charges each of charge \(q~\text C\) are placed at the circumference of a circle of radius \(r~\text{m}\) with equal angular spacing. If one of the charges is removed, the net electric field (in \(\text{N/C}\)) at the centre of the circle is:
(\(\varepsilon_0\text- \)permittivity of free space)
1. | \(\dfrac{13q}{4\pi \varepsilon_0r^2}\) | 2. | zero |
3. | \(\dfrac{q}{4\pi \varepsilon_0r^2}\) | 4. | \(\dfrac{12q}{4\pi \varepsilon_0r^2}\) |