Question

A copper sheet is bent in the cylindrical shape shown and 10$^4$A of current are passed through it, as shown. For this set-up: a) What is the magnetic field inside the cylindrical cavity? b) What is the magnetic energy density (J/m$^3$) there? c) What is the total energy contained in the cavity? d) Estimate the inductance of the geometry? e) If current flowed along the length of the cylinder, rather than around it as shown, what are the quantities (a-c)? Box (or otherwise clearly mark) each of your answers. (30pts) $l = 1 m$ $r = 10$ $cm$ $2 \times 10^{-3}$ $H$ $10 cm$ $I$ Side View $2 \times 10^{-7}$

          A copper sheet is bent in the cylindrical shape shown and 10$^4$A of current are passed through
it, as shown. For this set-up:
a) What is the magnetic field inside the cylindrical cavity?
b) What is the magnetic energy density (J/m$^3$) there?
c) What is the total energy contained in the cavity?
d) Estimate the inductance of the geometry?
e) If current flowed along the length of the cylinder, rather than around it as shown, what
are the quantities (a-c)?
Box (or otherwise clearly mark) each of your answers. (30pts)
$l = 1 m$
$r = 10$
$cm$
$2 \times 10^{-3}$
$H$
$10 cm$
$I$
Side View
$2 \times 10^{-7}$

A copper sheet is bent in the cylindrical shape shown and 10^4A of current are passed through
it, as shown. For this set-up:
a) What is the magnetic field inside the cylindrical cavity?
b) What is the magnetic energy density (J/m^3) there?
c) What is the total energy contained in the cavity?
d) Estimate the inductance of the geometry?
e) If current flowed along the length of the cylinder, rather than around it as shown, what
are the quantities (a-c)?
Box (or otherwise clearly mark) each of your answers. (30pts)
l = 1 m
r = 10
cm
2 × 10^-3
H
10 cm
I
Side View
2 × 10^-7

Added by Richard U.

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