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Problem 7: A square surface of side length L and parallel to the y-z plane is situated in an electric field given by E(x, y, z) = Eo[i+ a(yj+ zk)/V( +z)]. The square's sides are parallel to the y- and z-axes and it is centered on the x-axis at position Pg. Its normal vector points in the positive x-direction. a is a unitless constant. Refer to the figure. The x-axis points out of the screen.

Problem 7: A square surface of side length L and parallel to the y-z plane is situated in an electric field given by E(x, y, z) = Eo[i+ a(yj+ zk)/V( +z)]. The square's sides are parallel to the y- and z-axes and it is centered on the x-axis at position Pg. Its normal vector points in the positive x-direction. a is a unitless constant. Refer to the figure. The x-axis points out of the screen.

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P7E5

Problem 7: A square surface of side length L and parallel to the y-z plane is situated in an electric field given by E(x, y, z) = E[i+ a(yj + zk)/V(y + z) ]. The square's sides are parallel to the y- and z-axes and it is centered on the x-axis at position Py. Its normal vector points in the positive x-direction. a is a unitless constant. Refer to the figure. The x-axis points out of the screen. Pr Part (a) Integrate to find an expression for the total electric flux through the square surface in terms of defined quantities and enter the expression. Part (b) For L = 8.2 m, E, = 309.9 V/m, and a = 9.9, find the value of the flux, in units of volt•meter.
Transcribed Image Text:Problem 7: A square surface of side length L and parallel to the y-z plane is situated in an electric field given by E(x, y, z) = E[i+ a(yj + zk)/V(y + z) ]. The square's sides are parallel to the y- and z-axes and it is centered on the x-axis at position Py. Its normal vector points in the positive x-direction. a is a unitless constant. Refer to the figure. The x-axis points out of the screen. Pr Part (a) Integrate to find an expression for the total electric flux through the square surface in terms of defined quantities and enter the expression. Part (b) For L = 8.2 m, E, = 309.9 V/m, and a = 9.9, find the value of the flux, in units of volt•meter.
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