A short electric dipole has a dipole moment of \(16 \times 10^{-9} ~\text{C-}\text{m}\). The electric potential due to the dipole at a point at a distance of \(0.6~\text{m}\) from the centre of the dipole situated on a line making an angle of \(60^{\circ}\) with the dipole axis is: \(\left( \dfrac{1}{4\pi \varepsilon_0}= 9\times 10^{9}~\text{N-m}^2/\text{C}^2\right)\)
1. \(200~\text{V}\)
2. \(400~\text{V}\)
3. zero
4. \(50~\text{V}\)
The increasing order of the electrostatic potential energies for the given system of charges is given by:
1. | \(\mathrm{a = d < b < c}\) | 2. | \(\mathrm{b = d < c < a}\) |
3. | \(\mathrm{b = c < a < d}\) | 4. | \(\mathrm{c < a < b < d}\) |
What is the area of the plates of a \(2~\text{F}\) parallel plate capacitor, given that the separation between the plates is \(0.5~\text{cm}\)?
1. \(1100~\text{km}^2\)
2. \(1130~\text{km}^2\)
3. \(1110~\text{km}^2\)
4. \(1105~\text{km}^2\)
A parallel plate air capacitor is charged to potential difference \(V\). After disconnecting the battery, the distance between the plates of the capacitor is increased using an insulating handle. As a result the potential difference between the plates:
1. | decreases. | 2. | increases. |
3. | becomes zero. | 4. | does not change. |
If \(50~\text{J}\) of work must be done to move an electric charge of \(2~\text{C}\) from a point where the potential is \(-10\) volts to another point where the potential is \(\mathrm{V}\) volts, then the value of \(\mathrm{V}\) is:
1. \(5\) volts
2. \(-15\) volts
3. \(+15\) volts
4. \(+10\) volts
Some equipotential surfaces are shown in figure. The electric field at points \(A\), \(B\) and \(C\) are respectively:
1. | \(1~\text{V/cm}, \frac{1}{2} ~\text{V/cm}, 2~\text{V/cm} \text { (all along +ve X-axis) }\) |
2. | \(1~\text{V/cm}, \frac{1}{2} ~\text{V/cm}, 2 ~\text{V/cm} \text { (all along -ve X-axis) }\) |
3. | \(\frac{1}{2} ~\text{V/cm}, 1~\text{V/cm}, 2 ~\text{V/cm} \text { (all along +ve X-axis) }\) |
4. | \(\frac{1}{2}~\text{V/cm}, 1~\text{V/cm}, 2 ~\text{V/cm} \text { (all along -ve X-axis) }\) |
1. | can not be defined as \(-\int_{A}^{B} { \vec E\cdot \vec{dl}}\) |
2. | must be defined as \(-\int_{A}^{B} {\vec E\cdot \vec{dl}}\) |
3. | is zero |
4. | can have a non-zero value. |
a. | the electric field is uniform |
b. | the electric field is zero |
c. | there can be no charge inside the region |
d. | the electric field shall necessarily change if a charge is placed outside the region |
Choose the correct statement(s):
1. (b) and (c)
2. (a) and (c)
3. (b) and (d)
4. (c) and (d)
A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness \(d_1\) and dielectric constant \(K_1\) and the other has thickness \(d_2\) and dielectric constant \(K_2\), as shown in the figure. This arrangement can be thought of as a dielectric slab of thickness \(d= d_1+d_2\) and effective dielectric constant \(K\). The \(K\) is:
1. | \(\frac{{K}_{1} {d}_{1}+{K}_{2} {d}_{2}}{{d}_{1}+{d}_{1}}\) | 2. | \(\frac{{K}_{1} {d}_{1}+{K}_{2} {d}_{2}}{{K}_{1}+{K}_{2}}\) |
3. | \(\frac{{K}_{1} {K}_{2}\left({d}_{1}+{d}_{2}\right)}{{K}_{1} {d}_{2}+{K}_{2} {d}_{1}}\) | 4. | \(\frac{2 {K}_{1} {K}_{2}}{{K}_{1}+{K}_{2}}\) |
a. | in all space |
b. | for any \(x\) for a given \(z\) |
c. | for any \(y\) for a given \(z\) |
d. | on the \(x\text-y\) plane for a given \(z\) |
1. | (a), (b), (c) | 2. | (a), (c), (d) |
3. | (b), (c), (d) | 4. | (c), (d) |