PHY 182 1st Edition Lecture 18Outline of Last Lecture I. Introduction to Electric PotentialII. Important Concepts to RememberOutline of Current Lecture I. How to Calculate Electric PotentialII. Deriving an Expression for Electric PotentialCurrent LectureHow to Calculate Electric Potential- Electric potential is equal to potential energy per charge. V = U/q- Mathematically, the calculation of electric potential is similar to the calculation of electric force and field.- Electric potential is a scalar quantity, which means that is has no direction associated with it.- The units of electric potential are volts. 1V = 1 J/C- Be careful with V because it is used as a variable for electric potential and also to expressthe unit of volts.- The quantity Va-Vb is the potential at point a with respect to the potential at point b. This can also be written as Vab- Vab is equal to the work done by the electric force when a unit (1 coulomb) of charge moves from a to b.- With a constant electric field, V = Es- Potential energy will be written as the expression: Vo q- The potential of a point charge is equal to kq/r- For a collection of point charges, it is k multiplied by the sum of charges divided by the distances. You do not need to worry about direction since electric potential is a scalar quantity.These notes represent a detailed interpretation of the professor’s lecture. GradeBuddy is best used as a supplement to your own notes, not as a substitute.Deriving an Expression for Electric Potential- For a continuous charge, you can use the linear charge density, the length of the rod, and the distance from the point to the charge, to write an integral that expresses the electric potential at that point.- To evaluate the integral, you must apply limits of integration. For a continuous line of charge, the limits will be based on the length of the rod.- One of the simpler situations for finding an expression for electric potential is for a semicircle, because the distance is a constant value and thus can be taken out of the
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