What electric field has the same energy density as a 1.0 T magnetic field? A) 1.0 V/m B) 3.0 × 10⁸ V/m C) 9.0 × 10¹⁶ V/m D) 1.1 × 10^-17 V/m E) 3.3 × 10^-9 V/m

Question

Quizplus · Accepted Answer

The energy density of a magnetic field is given by B^2/(2*mu_0), where B is the magnetic field strength and mu_0 is the permeability of free space. The energy density of an electric field is given by E^2/(2*epsilon_0), where E is the electric field strength and epsilon_0 is the permittivity of free space. Setting these two expressions equal to each other and solving for E, we get E = sqrt(mu_0/epsilon_0) * B. Plugging in the given value of B = 1.0 T, we get E = 3.0 × 10^8 V/m.

What Electric Field Has the Same Energy Density as a 1.0