n a spherical capacitor with plate radii a & b, the potential difference between the plates is V. The electric field between the plates at a radial distance r from centre isChoose answer:
Question
n a spherical capacitor with plate radii a & b, the potential difference between the plates is V. The electric field between the plates at a radial distance r from centre isChoose answer:
Solution
The electric field E in a spherical capacitor with plate radii a and b, and potential difference V, can be calculated using the formula:
E = V / (b - a)
This formula is derived from the basic definition of electric field as the potential difference per unit distance. However, this formula assumes that the electric field is uniform between the plates, which is not the case in a spherical capacitor.
In a spherical capacitor, the electric field varies with radial distance r from the center. The electric field at a radial distance r from the center is given by:
E = V / (b - a) * (b / r)
This formula takes into account the fact that the electric field is stronger closer to the smaller plate (where r = a) and weaker closer to the larger plate (where r = b).
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