Since ε₀ = 8.85 × 10−¹² C² / N ⋅ m²,the units of ε₀E² can be reduced to A) . B) . C) . D) . E) .

Question

Quizplus · Accepted Answer

- The unit of capacitance is F (farad) and the unit of force is N (newton). - Therefore, the unit of (C² / N ⋅ m²) is F / m or F ⋅ m^-1. - The unit of ε₀ is then (F ⋅ m^-1) / N or N^-1. - Using dimensional analysis, we can express the units of ε₀E² as follows: (F ⋅ m^-1) / N × C / (N ⋅ m^-1) = F / N × C = C ⋅ N^-1 - Therefore, the answer is C: 11ea7ff9_2c3d_e7c9_a768_fd22dd244974_TB2295_11.

Since ε0 = 8

Since ε₀ = 8