z-axis Problem 9: A solid disk of radius R = 17 cm lies in the y-z plane with the center at the origin. The disk carries a uniformly distributed total charge Q = 65 µC. A point P is located on the positive half of the x-axis a distance 15 cm from the origin. Refer to the diagram, where the y- and z-axes lie in the plane of the screen and the x-axis points out of the screen. X-axis R У-ахis Part (a) Enter an expression for the surface charge density o in terms of the total charge and radius of the disk. Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, B, n, 0, b, d, dr, g, h, m, P, Q, r, R, t Part (b) Consider a thin ring of the disk of width dr located a distance r from the center. Enter an equation for the infinitesimal charge in this thin ring in terms of Q, R, r, and dr. Expression : dQ = Select from the variables below to write your expression. Note that all variables may not be required. a, B, T, 0, b, d, dr, g, h, m, P, Q, r, R, t Part (c) Calculate the electric potential at P, in kilovolts. Numeric : A numeric value is expected and not an expression. V = Part (d) Calculate the magnitude of the electric field at the point P in units of meganewtons per coulomb. Numeric : A numeric value is expected and not an expression. E =

z-axis Problem 9: A solid disk of radius R = 17 cm lies in the y-z plane with the center at the origin. The disk carries a uniformly distributed total charge Q = 65 µC. A point P is located on the positive half of the x-axis a distance 15 cm from the origin. Refer to the diagram, where the y- and z-axes lie in the plane of the screen and the x-axis points out of the screen. X-axis R У-ахis Part (a) Enter an expression for the surface charge density o in terms of the total charge and radius of the disk. Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, B, n, 0, b, d, dr, g, h, m, P, Q, r, R, t Part (b) Consider a thin ring of the disk of width dr located a distance r from the center. Enter an equation for the infinitesimal charge in this thin ring in terms of Q, R, r, and dr. Expression : dQ = Select from the variables below to write your expression. Note that all variables may not be required. a, B, T, 0, b, d, dr, g, h, m, P, Q, r, R, t Part (c) Calculate the electric potential at P, in kilovolts. Numeric : A numeric value is expected and not an expression. V = Part (d) Calculate the magnitude of the electric field at the point P in units of meganewtons per coulomb. Numeric : A numeric value is expected and not an expression. E =

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