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In electric field the work done in brings a 2 columnb charge from infinity to a point A is 10 joules and in bringing the same charge to some another point B is 20 joules .find the potential different between two point A and B . what would be the work done if the same charge is brought directly from A to B ?
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In electric field the work done in brings a 2 columnb charge from infi...
Work done = 10 jouleCharge = 2 coulombPotential of point A VA = 10 J / 2C = 5VGiven work done = 20 Joule      Charge = 2  coulombPotential of point A VB = 20 J / 2C = 10VPotential differences between two point A and B is V = VB - VA  = 10V - 5V = 5VWork done directly from A to B.Work done = Potential  difference × charge                     = 5V × 2C                     10 Joule.
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In electric field the work done in brings a 2 columnb charge from infi...
Understanding Work Done in Electric Fields
When moving a charge in an electric field, the work done is related to the electric potential at the points involved. The potential difference between two points is defined as the work done in moving a unit charge between those points.
Given Information
- Work done in bringing a 2 coulomb charge from infinity to point A = 10 joules
- Work done in bringing the same charge from infinity to point B = 20 joules
Calculating Potential Difference
1. Potential at Point A (VA):
- Work done from infinity to A = 10 joules.
- VA = Work done / Charge = 10 J / 2 C = 5 volts.
2. Potential at Point B (VB):
- Work done from infinity to B = 20 joules.
- VB = Work done / Charge = 20 J / 2 C = 10 volts.
3. Potential Difference (VAB):
- VAB = VB - VA = 10 V - 5 V = 5 volts.
Work Done from Point A to Point B
The work done in moving a charge directly between two points in an electric field is equal to the charge multiplied by the potential difference between those points.
1. Using the potential difference:
- Work done (W) = Charge (Q) × Potential difference (VAB).
- W = 2 C × 5 V = 10 joules.
Conclusion
- The potential difference between points A and B is 5 volts.
- The work done if the charge is moved directly from A to B is 10 joules.
This illustrates how electric potential and work done are interconnected in an electric field.
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In electric field the work done in brings a 2 columnb charge from infinity to a point A is 10 joules and in bringing the same charge to some another point B is 20 joules .find the potential different between two point A and B . what would be the work done if the same charge is brought directly from A to B ?
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