A ring of radius R = 9 cm lies in the y-z plane and is centered at the origin. The ring carries a uniform charge Q = 61 μC. A point P is located along the x-axis a distance x = 4.1 cm from the origin. a. Write an equation for the electric potential at point P due to the charge on the ring. Give your answers in terms of Q, R, x, and the Coulomb constant, k. V = b. Calculate the electric potential, in volts, at the point P. V = c. Using your equation for the electric potential as a function of x, derive an equation for the electric field along the positive x-axis. Give your answer in terms of the variables Q, R, x, and the constant k. E=
A ring of radius R = 9 cm lies in the y-z plane and is centered at the origin. The ring carries a uniform charge Q = 61 μC. A point P is located along the x-axis a distance x = 4.1 cm from the origin.
a. Write an equation for the electric potential at point P due to the charge on the ring. Give your answers in terms of Q, R, x, and the Coulomb constant, k. V =
b. Calculate the electric potential, in volts, at the point P. V =
c. Using your equation for the electric potential as a function of x, derive an equation for the electric field along the positive x-axis. Give your answer in terms of the variables Q, R, x, and the constant k. E=
d. Calculate the magnitude of the electric field at the point P in units of meganewtons per coulomb (MN/C). E =
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