High School

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What is the relationship between the electric field and the magnetic field at the center of a uniformly charged spherical shell?

A. They are unrelated
B. They are inversely proportional
C. They are directly proportional
D. The relationship cannot be determined

Answer :

Final answer:

The electric field inside a uniformly charged spherical shell is zero and there is no magnetic field at the center; thus, the electric field and the magnetic field are unrelated at the center of the shell.

Explanation:

The question asks about the relationship between the electric field and the magnetic field at the center of a uniformly charged spherical shell. In this scenario, according to the principles of electromagnetism, the electric field inside a uniformly charged spherical shell is zero because the charges are evenly distributed over the surface of the shell, leading to a cancellation of the electric forces at the shell's center.

As for the magnetic field, the scenario given does not involve any moving charges or currents, which are usually the source of magnetic fields; hence, no magnetic field is associated with a stationary charged shell.

Therefore, although Maxwell's Equations do indeed relate electric and magnetic fields in general, in the specific case of a uniformly charged static spherical shell, the electric field is zero and there is no magnetic field at the center; thus, they are unrelated.

The correct answer is a) They are unrelated.

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