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Consider a parallel-plate capacitor with charge + q on the top plate and q on th

ID: 1329036 • Letter: C

Question

Consider a parallel-plate capacitor with charge +q on the top plate and  q on the other, and a plate area that is large relative to the separation distance. Contrast this with a spherical capacitor consisting of two concentric spherical shells, one smaller than the other, with a charge of  +q uniformly distributed on the outer shell and a charge of  q uniformly distributed on the inner shell.

Part A

Do the positive and negative charges distribution contribute equally to the electric field inside each capacitor? If not, what fraction of the field comes from the negative distribution?

The positive and negative charges contribute equally to the electric field in the spherical capacitor. In the parallel-plate capacitor only positive charge contributes the entire electric field inside the capacitor.

The positive and negative charges contribute equally to the electric field in the parallel-plate capacitor. In the spherical capacitor only inner negative charge contributes the entire electric field inside the capacitor.

The positive and negative charges contribute equally to the electric field in the spherical capacitor. In the parallel-plate capacitor the negative charge contribution into the entire electric field is larger than of the negative charge contribution in two times.

The positive and negative charges contribute equally to the electric field in the spherical capacitor. In the parallel-plate capacitor only positive charge contributes the entire electric field inside the capacitor.

The positive and negative charges contribute equally to the electric field in the parallel-plate capacitor. In the spherical capacitor the outer positive charge contribution into the entire electric field is larger than of the negative charge contribution in two times.

The positive and negative charges contribute equally to the electric field in the parallel-plate capacitor. In the spherical capacitor only inner negative charge contributes the entire electric field inside the capacitor.

The positive and negative charges contribute equally to the electric field in the spherical capacitor. In the parallel-plate capacitor the negative charge contribution into the entire electric field is larger than of the negative charge contribution in two times.

The positive and negative charge distributions contribute equally to the electric field in both capacitors.

Explanation / Answer

The positive and negative charges contribute equally to the electric field in the parallel-plate capacitor. In the spherical capacitor only inner negative charge contributes the entire electric field inside the capacitor.

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