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. | 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. | \(\frac{Q}{\varepsilon_0}\times10^{-6}\) | 2. | \(\frac{2Q}{3\varepsilon_0}\times10^{-3}\) |
3. | \(\frac{Q}{6\varepsilon_0}\times10^{-3}\) | 4. | \(\frac{Q}{6\varepsilon_0}\times10^{-6} \) |
Two parallel infinite line charges with linear charge densities \(+\lambda\) C/m and \(+\lambda\) C/m are placed at a distance \({R}.\) The electric field mid-way between the two line charges is:
1. \(\frac{\lambda}{2 \pi \varepsilon_0 {R}} \) N/C
2. zero
3. \(\frac{2\lambda}{ \pi \varepsilon_0 {R}} \) N/C
4. \(\frac{\lambda}{ \pi \varepsilon_0 {R}}\) N/C
A sphere encloses an electric dipole with charges \(\pm3\times10^{-6}\) C. What is the total electric flux through the sphere?
1. \(-3\times10^{-6}\) N-m2/C
2. zero
3. \(3\times10^{-6}\) N-m2/C
4. \(6\times10^{-6}\) N-m2/C
The electric field in a certain region is acting radially outward and is given by \(E=Ar.\) A charge contained in a sphere of radius \(a\) centered at the origin of the field will be given by:
1. \(4 \pi \varepsilon_{{o}} {A}{a}^2\)
2. \(\varepsilon_{{o}} {A} {a}^2\)
3. \(4 \pi \varepsilon_{{o}} {A} {a}^3\)
4. \(\varepsilon_{{o}} {A}{a}^3\)
What is the flux through a cube of side \(a,\) if a point charge of \(q\) is placed at one of its corners?
1. \(\frac{2q}{\varepsilon_0}\)
2. \(\frac{q}{8\varepsilon_0}\)
3. \(\frac{q}{\varepsilon_0}\)
4. \(\frac{q}{2\varepsilon_0}\)
1. | be reduced to half |
2. | remain the same |
3. | be doubled |
4. | increase four times |
The electric field at a distance \(\frac{3R}{2}\) from the centre of a charged conducting spherical shell of radius \(R\) is \(E\). The electric field at a distance \(\frac{R}{2}\) from the centre of the sphere is:
1. \(E\)
2. \(\frac{E}{2}\)
3. \(\frac{E}{3}\)
4. zero
A hollow cylinder has a charge \(q\) coulomb within it (at the geometrical centre). If \(\phi\) is the electric flux in units of Volt-meter associated with the curved surface \(B\), the flux linked with the plane surface \(A\) in units of volt-meter will be:
1. \(\frac{1}{2}\left(\frac{q}{\varepsilon_0}-\phi\right)\)
2. \(\frac{q}{2\varepsilon_0}\)
3. \(\frac{\phi}{3}\)
4. \(\frac{q}{\varepsilon_0}-\phi\)