Consider an infinitely long wire carrying a constant current i. Let there be a coil of area A located at a radius of r(t) at time t that varies as r(t) = ro + sin(wt) for a positive constant w, as shown in the figure below. Coil Area = A r(t) ro 3ro 2 Assume that the area A of this coil is small enough that you can ignore the variation of the magnetic field intensity at different points across the coil. The coil is a closed electric circuit with resistance R. Compute the current ic(t) flowing through this coil as a function of time. Infinitely long wire
Consider an infinitely long wire carrying a constant current i. Let there be a coil of area A located at a radius of r(t) at time t that varies as r(t) = ro + sin(wt) for a positive constant w, as shown in the figure below. Coil Area = A r(t) ro 3ro 2 Assume that the area A of this coil is small enough that you can ignore the variation of the magnetic field intensity at different points across the coil. The coil is a closed electric circuit with resistance R. Compute the current ic(t) flowing through this coil as a function of time. Infinitely long wire
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Transcribed Image Text:Consider an infinitely long wire carrying a constant current i. Let there be a coil of area A located
at a radius of r(t) at time t that varies as
r(t) = ro + sin(wt)
for a positive constant w, as shown in the figure below.
Coil
Area = A
r(t)
ro
3ro
2
Assume that the area A of this coil is small enough that you can ignore the variation of the
magnetic field intensity at different points across the coil. The coil is a closed electric circuit with
resistance R. Compute the current ic(t) flowing through this coil as a function of time.
Infinitely long wire
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