a) Observe Figure 1a below. If a current, I, flows in an infinitely long conducting wire, the magnetic flux density, B, is defined as a function of distance r, from the wire. It is assumed that r is much greater than the radius of the wire. Derive the expression for the flux density, B, at a point r from an infinitesimally thin wire that is infinitely long. Show all of your workings.

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a) Observe Figure 1a below. If a current, I, flows in an infinitely long conducting
wire, the magnetic flux density, B, is defined as a function of distance r, from the
wire. It is assumed that r is much greater than the radius of the wire.
Derive the expression for the flux density, B, at a point r from an infinitesimally
thin wire that is infinitely long. Show all of your workings.
Electric
current
В
Magnetic field
Figure 1a.
Transcribed Image Text:a) Observe Figure 1a below. If a current, I, flows in an infinitely long conducting wire, the magnetic flux density, B, is defined as a function of distance r, from the wire. It is assumed that r is much greater than the radius of the wire. Derive the expression for the flux density, B, at a point r from an infinitesimally thin wire that is infinitely long. Show all of your workings. Electric current В Magnetic field Figure 1a.
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