The equivalent capacitance between points a and b in the network shown below is:
1. 5C
2. 4C
3. 3C
4. 2C
The equivalent capacitance of the following arrangement is:
1.
2.
3.
4.
Two capacitors of capacitance \(6~\mu\text{F}\) and \(3~\mu\text{F}\) are connected in series with battery of \(30~\text{V}\). The charge on \(3~\mu\text{F}\) capacitor at a steady state is:
1. \( 3 ~\mu\text{C}\)
2. \( 1.5 ~\mu\text{C}\)
3. \( 60~\mu\text{C}\)
4. \( 900~\mu\text{C}\)
Three charges \(-Q\), \(q\), and \(-2Q\) are placed along a line as shown in the figure. The system of charges will have a positive potential energy configuration when q is placed at midpoint of line joining \(-Q\) and \(-2Q\), if:
1. | \(q>{Q \over 3}\) | 2. | \(q<{Q \over 3}\) |
3. | \(q>{-Q \over 3}\) | 4. | \(q<{-Q \over 3}\) |
The electric field intensity and the electric potential at a point are E and V respectively. Which of the following is correct?
1. | If E ≠ 0, V cannot be zero |
2. | If V ≠ 0, E cannot be zero |
3. | If V is constant and non-zero, E must be zero |
4. | If V=0, E must be zero |
Work done to carry a negatively charged body in direction of the electric field:
(assuming no other force is acting on the body)
1. | is always negative. | 2. | maybe negative. |
3. | is always positive. | 4. | maybe zero. |
Two concentric metallic spherical shells A and B of radii a and b respectively (b>a) are arranged such that outer shell is earthed and inner shell is charged to Q. Charge on the outer surface of outer shell will be:
1.
2.
3. -Q
4. zero
The equivalent capacitance across \(A\) and \(B\) in the given figure is:
1. \( \frac{3}{2}C\)
2. \(C\)
3. \( \frac{2}{3}C\)
4. \( \frac{5}{3}C\)
Surface charge density on the positive plate of a charged parallel plate capacitor is . Energy density in the electric field of the capacitor is:
1.
2.
3.
4.
Two capacitors of capacity and are charged to the same potential difference of 6 V. Now they are connected with opposite polarity as shown. After closing switches , their final potential difference becomes:
1. | \(\text{Zero} \) | 2. | \(\frac{4}{3} \mathrm{~V} \) |
3. | \(3 \mathrm{~V} \) | 4. | \(\frac{6}{5} \mathrm{~V}\) |