1. Imagine two very long, parallel, straight wires carrying a current, I, in equal but opposite...

1. Imagine two very long, parallel, straight wires carrying a current, I, in equal but opposite directions.
(a) Discussing from a qualitative point of view, explain [8]
i. why such a system can be considered to have an inductance; and
ii. how one can set up an experiment to measure the inductance of such a system.
(b) From a point of view of theoretically calculating the inductance of such a system, why can you not assume that
these wires have a negligible diameter? [5]
(c) Assuming that these wires have a cross-sectional diameter, D, and are separated by a center-to-center distance,
d, such that d ? D, determine the inductance per unit length of this system while showing all of your work
and making use of your reasoning from Part (b). [15]
(d) Now, assume that D was large enough to not warrant the approximation from Part (c). Qualitatively discuss
how one would go about theoretically calculating the inductance per unit length of the system under these
circumstances. [5]

Solutions

Expert Solution

genius_generous answered 1 year ago

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