A ring of radius R = 4cm lies in the y-z plane and is centered at the origin. The ring carries a uniform charge Q = 48μC. A point P is located along the x-axis a distance x = 3.9 cm from the origin. The equation for electric potential at point P due to charge on the ring can be represented as V = (kQ)/(R2+x2)0.5. Using the equation for electric potential as a function of x, derive an equation for the electric field along the positive x-axis. Give the answer in terms of the variables Q, R, x, and Coulomb constant k.Calculate the magnitude of the elctric field at point P in units of meganewtons per coulomb (MN/C)

The objective of the question is to derive an equation for the electric field along the positive…

Answered: A ring of radius R = 4cm lies in the…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: Electric Potential And Capacitance

Section: Chapter Questions

Problem 23P

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A ring of radius R = 4cm lies in the y-z plane and is centered at the origin. The ring carries a uniform charge Q = 48μC. A point P is located along the x-axis a distance x = 3.9 cm from the origin. The equation for electric potential at point P due to charge on the ring can be represented as V = (kQ)/(R²+x²)^0.5.

Using the equation for electric potential as a function of x, derive an equation for the electric field along the positive x-axis. Give the answer in terms of the variables Q, R, x, and Coulomb constant k.

Calculate the magnitude of the elctric field at point P in units of meganewtons per coulomb (MN/C)

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