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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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 |
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A cube of a metal is given a positive charge \(Q\). For the above system, which of the following statements is true?
1. Electric potential at the surface of the cube is zero.
2. Electric potential within the cube is zero.
3. Electric field is normal to the surface of the cube.
4. Electric field varies within the cube.
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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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. \(\frac{1}{2}~\text{V/cm}, 1~\text{V/cm}, 2 ~\text{V/cm} \text { (all along -ve X-axis) }\)
Subtopic:  Equipotential Surfaces |
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