An infinite solid conducting cylinder is placed along z-axis. Find the net force on "north- ern" (y > 0) half of the cylinder per unit length. The radius of the cylinder is R, the current density is J. Note the direction of the force. Do halves of the cylinder repel or attract? Useful representation of cylindrical system unit vectors in Cartesian form:
An infinite solid conducting cylinder is placed along z-axis. Find the net force on "north- ern" (y > 0) half of the cylinder per unit length. The radius of the cylinder is R, the current density is J. Note the direction of the force. Do halves of the cylinder repel or attract? Useful representation of cylindrical system unit vectors in Cartesian form:
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Transcribed Image Text:An infinite solid conducting cylinder is placed along z-axis. Find the net force on "north-
ern" (y > 0) half of the cylinder per unit length. The radius of the cylinder is R, the current
density is J.
Note the direction of the force. Do halves of the cylinder repel or attract?
Useful representation of cylindrical system unit vectors in Cartesian form:
Transcribed Image Text:xây + yâỹ + z
x² + y² + z²
xzk + yzŷ – (x² + y? ) û
x² + y² /æ? + y² + z²
-yx + xỹ
Væ² + y?
||
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