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For the infinite slot (Ex. 3.3), determine the charge
Chapter 3, Problem 14P(choose chapter or problem)
Problem 14P
For the infinite slot (Ex. 3.3), determine the charge density σ(y) on the strip at x = 0, assuming it is a conductor at constant potential V0.
Reference example 3.3
Two infinite grounded metal plates lie parallel to the xz plane, one at y = 0, the other at y = a (Fig. 3.17). The left end, at x = 0, is closed off with an infinite strip insulated from the two plates, and maintained at a specific potential V0(y). Find the potential inside this “slot.”
Questions & Answers
QUESTION:
Problem 14P
For the infinite slot (Ex. 3.3), determine the charge density σ(y) on the strip at x = 0, assuming it is a conductor at constant potential V0.
Reference example 3.3
Two infinite grounded metal plates lie parallel to the xz plane, one at y = 0, the other at y = a (Fig. 3.17). The left end, at x = 0, is closed off with an infinite strip insulated from the two plates, and maintained at a specific potential V0(y). Find the potential inside this “slot.”
ANSWER:
Solution 14P:
Step 1 of 2:-
In this problem we need to find the surface charge density at
, assuming it as a conductor at constant potential
.
The potential we got in the example 3.3 is,
We already know that, charge density can be calculated very easily once you know the potential. The formula is,
