Problem 6: A ring of radius R = 7 cm lies in the y-z plane and is centered at the origin. The ring carries a uniform charge Q = 47 uC. A point P is located along the x-axis a distance x = 3.1 cm from the origin. 2-ахis х-ахis у-ахis Part (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. Expression : V = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, d, g, h, j, k, m, P, Q, R, t, x Part (b) Calculate the electric potential, in volts, at the point P. Numeric : A numeric value is expected and not an expression. V = Part (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. Expression : E = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, d, g, h, j, k, m, P, Q, R, t, x Part (d) Calculate the magnitude of the electric field at the point P in units of meganewtons per coulomb (MN/C) Numeric : A numeric value is expected and not an expression. E =

Problem 6: A ring of radius R = 7 cm lies in the y-z plane and is centered at the origin. The ring carries a uniform charge Q = 47 uC. A point P is located along the x-axis a distance x = 3.1 cm from the origin. 2-ахis х-ахis у-ахis Part (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. Expression : V = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, d, g, h, j, k, m, P, Q, R, t, x Part (b) Calculate the electric potential, in volts, at the point P. Numeric : A numeric value is expected and not an expression. V = Part (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. Expression : E = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, d, g, h, j, k, m, P, Q, R, t, x Part (d) Calculate the magnitude of the electric field at the point P in units of meganewtons per coulomb (MN/C) Numeric : A numeric value is expected and not an expression. E =

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