Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
electric field at a distance of 1.00 mm from the plane, i.e., at x = 1.00

electric field at a distance of 1.00 mm from the plane, i.e., at x = 1.00

icon
Related questions
Question

5.1 solve part c and d

Using the exact expression for the electric field a uniformly charged disk (on the equation sheet) in the yz-plane at x=0 with total charge +5.00 µC and radius 2.50 cm. (a) What is the surface charge density of the disk? (b) What is the electric field (both magnitude and direction) and a point 1.00 mm from the center of the disk along the symmetry axis of the disk, i.e., at x = 1.00 mm? (c) If we treat the uniformly charged disk as a uniformly charged, infinite plane (again on the equation sheet located in the yz-plane at x = 0), then what is the electric field at a distance of 1.00 mm from the plane, i.e., at x = 1.00 mm? Comment on how close this value is to the exact value calculated in (b). (d) Starting with the exact expression for the electric field of a uniformly charged disk (on the equation sheet) show that in the limit as x << R you obtain the exact expression for the electric field of a uniformly charged, infinite plane. Be sure to show the steps in your derivation, and to only use symbols (not numeric values). (e) Include a diagram of the situation.
Transcribed Image Text:Using the exact expression for the electric field a uniformly charged disk (on the equation sheet) in the yz-plane at x=0 with total charge +5.00 µC and radius 2.50 cm. (a) What is the surface charge density of the disk? (b) What is the electric field (both magnitude and direction) and a point 1.00 mm from the center of the disk along the symmetry axis of the disk, i.e., at x = 1.00 mm? (c) If we treat the uniformly charged disk as a uniformly charged, infinite plane (again on the equation sheet located in the yz-plane at x = 0), then what is the electric field at a distance of 1.00 mm from the plane, i.e., at x = 1.00 mm? Comment on how close this value is to the exact value calculated in (b). (d) Starting with the exact expression for the electric field of a uniformly charged disk (on the equation sheet) show that in the limit as x << R you obtain the exact expression for the electric field of a uniformly charged, infinite plane. Be sure to show the steps in your derivation, and to only use symbols (not numeric values). (e) Include a diagram of the situation.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions