Question

Given that q and Q represent charges (dimensionality Q), λ a charge per unit length (dimensionality Q/L), and σ a charge per unit area (dimensionality Q/L2), consider the following expressions: Using dimensional analysis, select which of these could give a good representation of the following physical quantities (or select N if none of these could work). 1. The electric field at a distance x from a point charge Q. 2. The electric potential energy of a test charge q a distance x from a point charge Q. 3. The electric force on a test charge q a distance x from a line charge, density λ. 4. The electric field at a distance x from a plane of charge, density σ. 5. The electric force on a test charge, q, a distance x from a plane of charge, σ. Explain your reasonings using dimensional analysis.

Answer 1

bu a