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Dimension of resistance can be worked out by using Ohm's law
You know V = IR or R = V/I....(1)
The dimensional formalism of equation (1) can be written as follows
[R] = [V]/[I] = [W/q]/[I] { since potential refers to work done(W) per unit charge }
So [R] = [w]/[qI] = [W]/[I2T] { [I] = [q]/[T] where T stands for time }
thus [R] = [ML2T-2]/[A2T] { dimension of current is taken as [A] }
= [M1L2T1A-2] (ans)
What else can I help you with?
How we can find dimension of resistance?
The dimension of resistance can be found using Ohm's Law, which states that voltage (V) equals the product of current (I) and resistance (R), expressed as V = IR. The dimensions of voltage are [ML²T⁻³I⁻¹], and the dimensions of current are [I]. Rearranging the equation to solve for resistance gives us R = V/I, leading to the dimension of resistance as [ML²T⁻³I⁻²].
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