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Dimensions of resistance in an electrical circuit, in terms of dimension of mass [M], of length [L], of time [T] and of current [I], would be:
- [ML²T⁻³I⁻²]
- [ML²T⁻³I⁻¹]
- [ML²T⁻³I⁻²]
- [ML²T⁻³I⁻¹]
Correct answer: [ML²T⁻³I⁻²]
Solution
The formula for resistance is R = V/I, where V (voltage) has dimensions [ML²T⁻³I⁻¹] and I (current) has dimensions [I]. Dividing these gives the dimensions of resistance as [ML²T⁻³I⁻²].
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