Question

Dimensional formula of potential gradient is equal to

Answer 1

Answer:

[  MLT⁻³A ]

Explanation:

Potential Gradient is defined as Change in Potential per unit Length. In terms of Formula it is written as:

• Potential Gradient = dV / dx  (or) ΔV/Δx

Dimensional Formula of Potential ( V ) is given as:

• Potential Difference = Electrostatic Force × Distance
• Electrostatic Force = Force / Unit Charge
• Force = Mass × Acceleration

⇒ Potential Difference = ( Force / Unit Charge ) × Distance

Dimensional Formula of:

• Force = [ MLT⁻²]
• Charge = [ AT ]
• Distance = [ L ]

⇒ [ V ] = [ MLT⁻² ] [ L ] / [ AT ]

⇒ [ V ] = [ ML²T⁻³A ]

Therefore the Dimensional Formula of Potential Gradient is:

⇒ [ V ] / [ x ] = [ ML²T⁻³A ] / [ L ] = [  MLT⁻³A ]