what is the dimensional formula of epsilon not?
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Answered by
273
Thank you for asking this question , let me help you out so that you could find the answer .
The general formula of epsilon not is M^-1 *L^-3 * T^4 I^2
Here I is representing the current, You can find it's derivation in the attachment but here I use the "A:" as the representation of current that's why you will find the dimensional formula with the "A" for current . Moreover the unit here will be like "Farad/meter.
The general formula of epsilon not is M^-1 *L^-3 * T^4 I^2
Here I is representing the current, You can find it's derivation in the attachment but here I use the "A:" as the representation of current that's why you will find the dimensional formula with the "A" for current . Moreover the unit here will be like "Farad/meter.
Attachments:
Answered by
208
According to Coulomb's Law:
F=(1/4πε₀)q1q2/r²
ε₀=(1/4πF) q1q2/r²
Dimension formula of F=M¹L¹T⁻²
Charge =q=IXT=AxT¹ where A= electric current
ε₀=(1/M¹L¹T⁻²)(AT¹xAT¹)/L²
ε₀=M⁻¹L⁻³T⁴A²
∴ Dimensional Formula of Epsilon not= M⁻¹L⁻³T⁴A²
F=(1/4πε₀)q1q2/r²
ε₀=(1/4πF) q1q2/r²
Dimension formula of F=M¹L¹T⁻²
Charge =q=IXT=AxT¹ where A= electric current
ε₀=(1/M¹L¹T⁻²)(AT¹xAT¹)/L²
ε₀=M⁻¹L⁻³T⁴A²
∴ Dimensional Formula of Epsilon not= M⁻¹L⁻³T⁴A²
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