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In the context of electromagnetic theory, the dimensions of electric and magnetic fields are interconnected. If [E] represents the dimension of the electric field and [B] represents the dimension of the magnetic field, which of the following correctly describes their relationship?

1. [E] = [B] [L] [T]
2. [E] = [B] [L]⁻¹ [T]
3. [E] = [B] [L] [T]⁻¹
4. [E] = [B] [L]⁻¹ [T]⁻¹

Correct answer: [E] = [B] [L] [T]⁻¹

Solution

The dimension of the electric field [E] is equal to the dimension of the magnetic field [B] times the dimension of length [L] and divided by the dimension of time [T], which can be derived from the fundamental laws of electromagnetism.

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