There are at least 2 ways to solve this problem. One method is to follow the procedure that was used to find the capacitance of this structure in Section 5. Although highly recommended as an exercise for the student, in this section we take an alternative approach so as to demonstrate that there are a variety of approaches available for such problems. In other words, current flows radially outward from the inner conductor to the outer conductor, with density that diminishes inversely with the area through which the total current flows.
Since this can be any such path Section 5. Notably it does not depend on current or voltage, which would imply non-linear behavior. To make the connection back to lumped-element transmission line model parameters Section 3. Estimate the conductance per length of RG Remember also that batteries are constant voltage providers if you ignore internal resistance. It's the current drawn from the battery that changes. That depends on what's in the circuit.
In other words you're asking 'I wonder what voltage I need for a current of 1 amp to flow through my component? This is a bit topsy-turvey because a component, like a bulb or a motor, is normally designed to run at a specific voltage. You don't just go around changing it. In other words you're asking 'I wonder what current I get when I put 1 volt across this component?
This makes much more sense because you typically specify the voltage by for example connecting a component to a particular battery and measure the current you get. Conductivity is the inverse of resistivity. The unit of conductivity is the siemens per metre see below. Again it's a material property rather than a component property. So you talk about the conductivity of copper but the conductance of this piece of copper wire.
A piece of wire has a high conductance if it's short and fat. So the conductance of a piece of wire depends on.
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