Some equipotential surfaces are shown in the 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. \(\frac{1}{2}~\text{V/cm}, 1~\text{V/cm}, 2 ~\text{V/cm} \text { (all along -ve X-axis) }\)
Subtopic:  Equipotential Surfaces |
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The angle between the electric lines of force and the equipotential surface is: 
1. \(180^\circ\)
2. \(0^\circ\)
3. \(45^\circ\)
4. \(90^\circ\)
Subtopic:  Equipotential Surfaces |
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The work done to move a charge along an equipotential from \(A\) to \(B\):
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.
Subtopic:  Equipotential Surfaces |
 92%
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On rotating a point charge having a charge \(q\) around a charge \(Q\) in a circle of radius \(r,\) the work done will be:

1. \(q \times2 \pi r\) 2. \(q \times2 \pi Q \over r\)
3. zero 4. \(Q \over 2\varepsilon_0r\)
Subtopic:  Equipotential Surfaces |
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Consider a uniform electric field in the \(z\text-\)direction. The potential is constant:
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)
Subtopic:  Equipotential Surfaces |
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Identify the incorrect statement from the following:

1. The equipotential surface created by a single-point charge is spherical.
2. Equipotential surfaces can also be constructed for a dipole.
3. Equipotential surfaces are always perpendicular to electric field lines.
4. The work done in moving a test charge along an equipotential surface is positive.
Subtopic:  Equipotential Surfaces |
 84%
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A uniform electric field of intensity is shown in the figure. How many of the labelled points have the same electric potential as the fully shaded point?
            
1. \(2\) 2. \(3\)
3. \(8\) 4. \(11\)
Subtopic:  Equipotential Surfaces |
 77%
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