electric potential v at a distance r from a point charge is directly proportional to
Electric potential V at a distance r from a point charge is directly proportional to:
Answer: The electric potential V at a distance r from a point charge Q is given by the formula:
V = \frac{kQ}{r}
where:
- V is the electric potential,
- k is the Coulomb’s constant (8.9875 \times 10^9 \, \text{N m}^2/\text{C}^2),
- Q is the point charge,
- r is the distance from the charge.
From this formula, we can observe that the electric potential V is directly proportional to the charge Q. This means that if the charge increases, the electric potential increases proportionally, provided the distance r remains constant.
Conversely, the electric potential is inversely proportional to the distance r from the charge, implying that as the distance increases, the electric potential decreases.
These relationships are crucial in understanding the behavior of electric fields around point charges and are fundamental in electromagnetism. They’re especially important in fields such as electrical engineering and physics, where potential energy and work done by electric fields are calculated.
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