Is Potential Directly Proportional To Distance: Exploring The Connection
When The Distance Travelled By An Object Is Directly Proportional To The Time, It Is Said To Travel
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Is Potential Difference Directly Proportional To Distance?
The potential difference, often referred to as voltage, is a physical quantity that relates to the electric field created by a charged object. To clarify the relationship between potential difference and distance, it’s important to note that potential difference is not directly proportional to distance. Instead, it is inversely proportional to distance, meaning that as you move farther away from a charged object, the potential difference decreases, and as you move closer to the charged object, the potential difference increases. This inverse relationship is a fundamental concept in electromagnetism and is described by Coulomb’s law, which states that the electric potential decreases as you move away from a charged point source, following a specific mathematical relationship. Understanding this relationship is crucial for analyzing and predicting the behavior of electric fields in various situations.
Is Potential Inversely Proportional To Distance?
Is electric potential related to distance and charge? Yes, the electric potential at a specific location in space is determined by two key factors: the charge of the source (referred to as “source charge”) and the distance between this source charge and the point of interest. To be precise, the electric potential at a point is directly proportional to the magnitude of the source charge and inversely proportional to the distance separating the source charge from the specific point in question. This relationship can be expressed mathematically as follows, where “R” represents the distance between the source charge “Q” and the designated point:
Electric Potential ∝ Q / R
In this formula, the electric potential is denoted by the symbol ∝, source charge by “Q,” and distance by “R.” Understanding this relationship helps clarify how electric potential varies in relation to distance and charge magnitude.
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Potential energy of a system of charges is directly proportional to the product of charges and inversely to the distance between them.On the other side, it is inversely proportional to the distance r, because as you move away from the charge, the potential is going to decrease, and as you move closer to the charge, the potential is going to increase.Electric potential at a point in space is directly proportional to charge of source charge and inversely proportional to distance between source charge and that point. Where $R$ is distance between source charge $Q$ and the given point.
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