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: Â Equipotential Surfaces |
Â 89%
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The work done to move a charge along an equipotential from A to B:

 1 can not be defined as $$-\int_{\mathrm{A}}^{\mathrm{B}} \text { E. dl. }$$ 2 must be defined as $$-\int_{\mathrm{A}}^{\mathrm{B}} \text { E. dl. }$$ 3 is zero 4 can have a non-zero value.

Subtopic: Â Equipotential Surfaces |
Â 91%
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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: Â Equipotential Surfaces |
Â 77%
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Consider a uniform electric field in the Z-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-y plane for a given z

1.  (a, b, c)
2.  (a, c, d)
3.  (b, c, d)
4.  (c, d)

Subtopic: Â Equipotential Surfaces |
Â 78%
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Some equipotential surfaces are shown in figure. The electric field at points A, B and C are respectively:

 1 $$1 \mathrm{~V} / \mathrm{cm}, \frac{1}{2} \mathrm{~V} / \mathrm{cm}, 2 \mathrm{~V} / \mathrm{cm} \text { (all along +ve X-axis) }$$ 2 $$1 \mathrm{~V} / \mathrm{cm}, \frac{1}{2} \mathrm{~V} / \mathrm{cm}, 2 \mathrm{~V} / \mathrm{cm} \text { (all along -ve X-axis) }$$ 3 $$\frac{1}{2} \mathrm{~V} / \mathrm{cm}, 1 \mathrm{~V} / \mathrm{cm}, 2 \mathrm{~V} / \mathrm{cm} \text { (all along +ve X-axis) }$$ 4 $$\frac{1}{2} \mathrm{~V} / \mathrm{cm}, 1 \mathrm{~V} / \mathrm{cm}, 2 \mathrm{~V} / \mathrm{cm} \text { (all along -ve X-axis) }$$

Subtopic: Â Equipotential Surfaces |
Â 69%
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