10. Two infinite parallel wires each have a current I flowing in the direction shown in the image below. The wires are a distance L apart. a) For extra practice, use Ampere's Law to calculate the magnetic field strength for an infinitely long straight wire, clearly explaining any symmetry arguments used. b) Using the result from a), what is the magnetic field at point P shown in terms of I, L, x, and any other necessary physical constants (x is the perpendicular distance from the midpoint between the two identical currents, & P is the same distance from both currents)? Make sure you include the contribution from both wires and report a vector (magnitude and direction). c) For what value of x is the magnitude of the magnetic field a maximum?
10. Two infinite parallel wires each have a current I flowing in the direction shown in the image below. The wires are a distance L apart. a) For extra practice, use Ampere's Law to calculate the magnetic field strength for an infinitely long straight wire, clearly explaining any symmetry arguments used. b) Using the result from a), what is the magnetic field at point P shown in terms of I, L, x, and any other necessary physical constants (x is the perpendicular distance from the midpoint between the two identical currents, & P is the same distance from both currents)? Make sure you include the contribution from both wires and report a vector (magnitude and direction). c) For what value of x is the magnitude of the magnetic field a maximum?
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Transcribed Image Text:10. Two infinite parallel wires each have a
current I flowing in the direction shown in the
image below. The wires are a distance L apart.
a) For extra practice, use Ampere's Law
to calculate the magnetic field strength
for an infinitely long straight wire,
clearly explaining any symmetry
arguments used.
b) Using the result from a), what is the
magnetic field at point P shown in
terms of I, L, x, and any other
necessary physical constants (x is the
perpendicular distance from the
midpoint between the two identical
currents, & P is the same distance from
both currents)? Make sure you include
the contribution from both wires and
report a vector (magnitude and
direction).
c) For what value of x is the magnitude of
the magnetic field a maximum?
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