cammiecutes2687 cammiecutes2687
  • 13-07-2019
  • Physics
contestada

If the current density in a wire or radius R is given by J-k+5,0F wire? R, what is the current in the wire?

Respuesta :

AbsorbingMan AbsorbingMan
  • 25-07-2019

Answer:

I = [tex]R^{2}[/tex](K+5)

Explanation:

Given :

J = k+5

Now selecting a thin ring in the wire of radius "r" and thickness dr.

Current through the thin ring is

dI = J X 2πrdr

dI = (K+5) x 2πrdr

Now integrating we get

I = [tex]\int_{0}^{R} = (K+5).2\pi rdr[/tex]

I = (K+5) 2π[tex]\int_{0}^{R} rdr[/tex]

I = (K+5) 2π [tex]\frac{R^{2}}{2}[/tex]

I = [tex]R^{2}[/tex](K+5)

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