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This is for an electromagnetic theory class.
Prompt can be seen here
J = I/A, J = σE, V = Ed, C = εA/d
I'm having trouble mostly with parts i and ii, as the rest are fairly simple to acquire after figuring out those two. Here's what I have so far:
A = (b-a)L
J = I/((b-a)L)
dE = (I/((b-a)L))d∅ (Here I'm honestly not sure what to integrate with, however my best guess is d∅, so after integrating nothing changes)
E = V/d
I = (Vσ(b-a)L)/((π/2)r)
At this point I'm not sure if that is the total current, or just a segment of current that needs to be integrated. Hence I don't know what to do with r.
Any help would be greatly appreciated.
Homework Statement
Prompt can be seen here
Homework Equations
J = I/A, J = σE, V = Ed, C = εA/d
The Attempt at a Solution
I'm having trouble mostly with parts i and ii, as the rest are fairly simple to acquire after figuring out those two. Here's what I have so far:
A = (b-a)L
J = I/((b-a)L)
dE = (I/((b-a)L))d∅ (Here I'm honestly not sure what to integrate with, however my best guess is d∅, so after integrating nothing changes)
E = V/d
I = (Vσ(b-a)L)/((π/2)r)
At this point I'm not sure if that is the total current, or just a segment of current that needs to be integrated. Hence I don't know what to do with r.
Any help would be greatly appreciated.