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प्रश्न
Two charges 2 μC and −2 µC are placed at points A and B 6 cm apart.
- Identify an equipotential surface of the system.
- What is the direction of the electric field at every point on this surface?
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उत्तर
Given: q1 = 2 μC = 2 × 10−6 C
q2 = −2 µC = 2 × 10−6 C
r = 6 cm = 0.06 m
(a) Potential will be zero due to both charges at the equipotential surface.
`1/(4piε_0)[q_1/x + q_2/((0.06 - x))] = 0`
`q_1/x = -q_2/((0.06 - x))`
`(2 xx 10^-6)/x = -((-2 xx 10^-6))/([(0.06) - x])`
x = 0.06 − x
x + x = 0.06
2x = 0.06
`x = 0.06/2`
x = 0.03 m
i.e., the plane normal to AB and passing through its mid-point has zero potential everywhere.
(b) The direction of the electric field at every point on this surface is normal to the plane in the direction of AB.
संबंधित प्रश्न
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(c) a single positive charge at the origin, and
(d) a uniform grid consisting of long equally spaced parallel charged wires in a plane.
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Draw equipotential surfaces:
(1) in the case of a single point charge and
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(3) Can electric field exist tangential to an equipotential surface? Give reason
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- Equipotential surfaces never intersect each other.
- Work done in moving a charge from one point to other on an equipotential surface is zero.
Can two equipotential surfaces intersect each other?
Consider a uniform electric field in the ẑ direction. The potential is a constant ______.
- in all space.
- for any x for a given z.
- for any y for a given z.
- on the x-y plane for a given z.
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- cannot be defined as `- int_A^B E.dl`
- must be defined as `- int_A^B E.dl`
- is zero.
- can have a non-zero value.
Find the equation of the equipotentials for an infinite cylinder of radius r0, carrying charge of linear density λ.
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A curve connecting points that all have equal electric potential is best described as:
If the electric field \[\vec{E}\] had a component along (tangent to) an equipotential surface, what contradiction would arise?
The direction in which electric potential decreases is:
For an infinite line charge (infinite cylinder configuration), the equipotential surfaces are:
