Resistance dimensional formula
Answers
Answer:
The SI unit of electrical resistivity is the ohm⋅metre (Ω⋅m). It is commonly represented by the Greek letter ρ, rho. where, R= resistance, A= area of cross-section, l= length *provided the material has Uniform geometrical dimensions. Original Formula: R= ρ(l/A), where ρ is a proportionality constant..
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Resistance:
The opposition to the flow of electric current is called resistance. It is represented by "R" and its unit is Ohm Ω
Resistance is given by the formula:
Resistance is given by the formula:R = V / I ........... (1)
where V is the voltage measured in volts 'V' and I is the current measured in amperes 'A'
where V is the voltage measured in volts 'V' and I is the current measured in amperes 'A'We have to find the dimensional formula of resistance.
Since we know that,
Dimensional formula for V = M L² T ⁻³ A⁻¹
Dimensional formula for I = A
Put these values in equation (1), we get:
Dimensional formula for R = M L² T ⁻³ A⁻¹ / A
Dimensional formula for R = M L² T ⁻³ A⁻²