Advanced Dimensional AnalysisHardQuestion 5032
Question
The expression (1/2)εE² where ε is permittivity and E is electric field has dimensions of:
- A[ML⁻¹T⁻²]Correct
- B[ML²T⁻²]
- C[MLT⁻²]
- D[MT⁻²]
Correct answer
[ML⁻¹T⁻²]
Explanation
(1/2)εE² represents energy density (energy per unit volume) = [ML²T⁻²]/[L³] = [ML⁻¹T⁻²].