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The work to bring a unit positive charge from infinity to a point in electrostatic equilibrium is the absolute potential.explane

Question

The work to bring a unit positive charge from infinity to a point in electrostatic equilibrium is the absolute potential.

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Solution

In electrostatics, the concept of potential is very important. The potential at a point in an electric field is defined as the amount of work done in bringing a unit positive charge from infinity to that point. This is also known as the absolute potential.

Here's a step-by-step explanation:

  1. Imagine an electric field. This could be created by a single charge, multiple charges, or a continuous distribution of charge.

  2. Now, imagine a unit positive charge at infinity. This is a hypothetical charge that we use for our calculations. It's "at infinity" because we assume that it's so far away from the other charges that they don't affect it.

  3. We want to move this unit positive charge from infinity to a specific point in the electric field. To do this, we have to do work against the electric field. This is because the electric field will naturally repel the positive charge (since like charges repel).

  4. The amount of work we have to do to move the unit positive charge from infinity to the point in the electric field is defined as the potential at that point. This is also known as the absolute potential.

  5. The absolute potential is measured in volts (V). One volt is defined as one joule of work per coulomb of charge.

  6. The absolute potential gives us a way to quantify the effect of the electric field at a point without having to know all the details of the field. It's a very useful concept in electrostatics and is used in many calculations.

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