Determine the dimensions of the electric field E . The relevant equations are F = qE , F = qvB , and B = ₀ I 2 a ; where F is force, q is charge, v is speed, I is current, and a is distance.

Step-by-step solution

From the relation F = qE , the electric field E is given by E = F q . The dimensional formula for force F is MLT⁻² . The dimensional formula for charge q is IT . Substituting these dimensions, we get: [E] = MLT⁻² IT = MLT⁻³I⁻¹