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 |
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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. |
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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
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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. \( \frac{5}{3}C\)
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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.
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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. | \(\frac{6}{5} \mathrm{~V}\) |
How many capacitors each of and 250 V are required to form a composite capacitor of and 1 kV?
1. | 16 | 2. | 8 |
3. | 64 | 4. | 32 |
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A positive charge q and a negative charge -q are placed at x= -a and x= +a respectively. The variation of V along x-axis is represented by the graph:
1. | 2. | ||
3. | 4. |
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Which of the following statements is correct regarding electrostatics of conductors?
1. | The interior of the conductor with no cavity can have no excess charge in the static situation. |
2. | Electrostatic potential is constant throughout the volume of the conductor. |
3. | Electrostatic potential has the same value inside as that on its surface. |
4. | All of these. |
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