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. \(q<{-Q \over 3}\)

Subtopic:  Electric Potential Energy |
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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

Subtopic:  Relation between Field & Potential |
 68%
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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.

Subtopic:  Relation between Field & Potential |
 53%
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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. -Qab

2. Q1-ab

3. -Q

4. zero

Subtopic:  Electrostatic Shielding |
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The equivalent capacitance across \(A\) and \(B\) in the given figure is:

   Find equivalent capacitance between points A and B. the answer will be C.
1. \( \frac{3}{2}C\)
2. \(C\)
3. \( \frac{2}{3}C\)
4. \( \frac{5}{3}C\)

Subtopic:  Combination of Capacitors |
 79%
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Surface charge density on the positive plate of a charged parallel plate capacitor is σ. Energy density in the electric field of the capacitor is:

1. σ2ε0

2. σ22ε0

3. σε0

4. 2σ2ε0

Subtopic:  Energy stored in Capacitor |
 78%
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Two capacitors of capacity 2 μF and 3 μF are charged to the same potential difference of 6 V. Now they are connected with opposite polarity as shown. After closing switches S1 and S2, their final potential difference becomes:

1. \(\text{Zero} \) 2. \(\frac{4}{3} \mathrm{~V} \)
3. \(3 \mathrm{~V} \) 4. \(\frac{6}{5} \mathrm{~V}\)
Subtopic:  Combination of Capacitors |
 64%
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How many capacitors each of 8 μF and 250 V are required to form a composite capacitor of 16 μF and 1 kV?

1. 16 2. 8
3. 64 4. 32
Subtopic:  Combination of Capacitors |
 54%
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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.
Subtopic:  Electric Potential |
 62%
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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.
Subtopic:  Electrostatic Shielding |
 88%
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