- #1
ehrenfest
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Homework Statement
A charged parallel-plate capacitor (with uniform electric field [itex]\mathbf{E} = E\hat{\mathbf{z}} [/itex]) is placed in
an uniform magnetic field [itex]\mathbf{B} = B\hat{\mathbf{x}}[/itex]
(a) Find the electromagnetic momentum in the space between the plates.
(b) Now a resistive wire is connected between the plates, along the z axis,
so that the capacitor slowly discharges. The current through
the wire will experience a magnetic force; what is the total
impulse delivered to the system, during the discharge ?
(c) Instead of turning off the electric field, suppose we slowly reduce
the magnetic field. This will induce a Faraday electric field, which
in turn exerts a force on the plates. Find the total impulse.
I can do parts a) and b) so I do not think you need to read them. I need help with c).
Homework Equations
The Attempt at a Solution
I am stuck trying to find to find the electric field due to the changing B-field. What trick am I supposed to use? How can I figure out what direction it is in?