Examples 1. Show that a constant electric field can only exist in a charge free

Question

Examples 1. Show that a constant electric field can only exist in a charge free region (net charge = 0). Hint: calculate the flux through a small cube located at an arbitrary point where the electric field is constant. 2 A windsock is open at both ends and has the shape of a truncated cone. The radius of the circular opening at one end is 25 cm and the radius of the other opening is 5.0 cm. A constant 25 N/C electric field points along the axis of the windsock, find the electric flux through the lateral surface area of the windsock. Hint: what would the net flux be through the windsock if it were a closed surface? 3. A 1.0 nC charge is located at the center of a cube that measures 10 cm on edge. Find the flux through one face of the cube. In the previous examples, we used Gauss's law to find the flux through a given surface; however, in practice Gauss's law is used to simplify the calculation of the electric field of a symmetric charge distribution. The following steps illustrate how this is done.

Explanation / Answer

By Gauss’s law,

Total = qenclosed/0

6* single face = qenclosed/0

single face = qenclosed/60 = (1.0*10^-9)/(6*8.85*10^-12) = 18.83 Nm^2/C

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