All Problems

Constant Electric Field in a Vacuum

Problem 3.29

Inside an infinitely long circular cylinder charged uniformly with volume density ρ\rho there is a circular cylindrical cavity. The distance between the axes of the cylinder and the cavity is equal to aa. Find the electric field strength EE inside the cavity. The permittivity is assumed to be equal to unity.

Reveal Answer
E=1/2aρ/ε0, where the vector a is directed toward the axis of the cavity\mathbf{E}=1 / 2 \mathbf{a} \rho / \varepsilon_{0}, \text { where the vector } \mathbf{a} \text { is directed toward the axis of the cavity}
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