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

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

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

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

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

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

Expert Solution

genius_generous answered 8 months ago

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