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What is the charge density (\(\sigma\)) of the rectangular plate in units of C/m²?

A) 193 μC/m

B) 193 μC/m²

C) 193 C/m

D) 193 C/m²

Answer :

Final answer:

Option b, the charge density of the rectangular plate with the correct SI units is 193μC/m², which is equivalent to 193×10^-6 C/m².

Explanation:

The charge density (σ) of the rectangular plate is defined as the amount of charge per unit area, with SI units in C/m². When considering options for charge density, we look at the unit of measure that aligns with this definition. The correct unit for expressing surface charge density is C/m². Thus, the correct answer would be 193μC/m². It's important to convert microcoulombs (μC) to coulombs (C) by recognizing that 1μC is equal to 1×10-6 C. Therefore, 193μC/m² is equivalent to 193×10-6 C/m².

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