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A parallel-plate capacitor with circular plates of radius a separated by a distance d is being...

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Physics

A parallel-plate capacitor with circular plates of radius aseparated by a distance d is being charged though a resistor R andbattery with emf E.

1 (a) (5pts.) Make a diagram showing the direction of theinduced magnetic field between the plates.

(b) (15pts) Show that the magnitude of this induced magneticfield r < a is given by B(r) = µ0 r 2π a2 E R e −t/RC, where ris the distance to the axis of symmetry of the plates.

(c) (4pts.) Why is the magnetic field independent on thedistance to either of the plates?

(d) (6pts.) What is the maximum magnetic field between theplates if they have a radius of a = 1.0 cm, and the capacitor isbeing charged by a 120.0 V battery through a 5.0 Ω resistor?

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