A very large parallel-plate capacitor carries charge with uniform charge per unit area +/ on the upper

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A very large parallel-plate capacitor carries charge with uniform charge per unit area +/σ on the upper plate and -/σ on the lower plate. The plates are horizontal and both move horizontally with speed v to the right.
(a) What is the magnetic field between the plates?
(b) What is the magnetic field close to the plates but outside of the capacitor?
(c) What is the magnitude and direction of the magnetic force per unit area on the upper plate?
(d) At what extrapolated speed v will the magnetic force on a plate balance the electric force on the plate? Calculate this speed numerically.
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