- #1
tellmesomething
- 409
- 45
- Homework Statement
- Two cylindrical conductors with equal cross sections and different resistivities p1 and p2 are put end to, end as shown in figure-3.11.
Find the density of surface charges at the boundary of the conductors if a current I flows from conductor I to conductor 2 .
- Relevant Equations
- None
I tried using gauss law. This is how i set it up: I took a gaussian pill box of same area and very small length dx, the diagram is amplified for obvious reasons.
Assuming theres a constant field in the yellow portion ##E_{1}## and a constant field ##E_{2}## in the green portion. I assume the area of cross section as ##A## and surface charge density as ##\sigma##
$$(\frac{\rho_{2} I}{A} - \frac{\rho_{1} I}{A})A = \frac{\sigma A}{\epsilon_{0}}$$
Is this valid? Because it doesnt get me the answer as i do not know what ##A## is.
i
Assuming theres a constant field in the yellow portion ##E_{1}## and a constant field ##E_{2}## in the green portion. I assume the area of cross section as ##A## and surface charge density as ##\sigma##
$$(\frac{\rho_{2} I}{A} - \frac{\rho_{1} I}{A})A = \frac{\sigma A}{\epsilon_{0}}$$
Is this valid? Because it doesnt get me the answer as i do not know what ##A## is.