Question

Derivation of dimension formula of resistance

Answer 1

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:
R = V / I   ........... (1)
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

Answer 2

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:

R = V / I   ........... (1)

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

Hope it helps......

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