A current i flows into (and, on the other side, out of) a parallel-plate capacitor. The plates are circular, spaced 0.0010 m apart, and have an area of 0.785 m². The voltage across the capacitor changes at 1.0 kV/s, causing a magnetic field to be induced in the capacitor, parallel to the plates. (a) Find the rate at which the electric field and the electric flux are changing between the plates. (b) Find the magnitude of the magnetic field between the plates at a radius of 0.15 m from the axis. (c) Find the magnitudes of the magnetic field at a radius of 1.5 m from the axis. (d) Sketch the magnetic field lines in the region between the plates (at equally spaced magnetic field values) and outside the plates. (e) What is the current i that is flowing into the capacitor? (Calculate this from the rate at which the electric field is changing, and from that the rate at which charge accumulates.)

A current i flows into (and, on the other side, out of) a parallel-plate capacitor. The plates are circular, spaced 0.0010 m apart, and have an area of 0.785 m². The voltage across the capacitor changes at 1.0 kV/s, causing a magnetic field to be induced in the capacitor, parallel to the plates. (a) Find the rate at which the electric field and the electric flux are changing between the plates. (b) Find the magnitude of the magnetic field between the plates at a radius of 0.15 m from the axis. (c) Find the magnitudes of the magnetic field at a radius of 1.5 m from the axis. (d) Sketch the magnetic field lines in the region between the plates (at equally spaced magnetic field values) and outside the plates. (e) What is the current i that is flowing into the capacitor? (Calculate this from the rate at which the electric field is changing, and from that the rate at which charge accumulates.)

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter29: Sources Of The Magnetic Field

Section: Chapter Questions

Problem 37AP: A very large parallel-plate capacitor has uniform charge per unit area + on the upper plate and on...

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