Dimentional formula of resistance
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Answered by
3
Hey there !
Resistance is the property of the material to oppose the current passing through it.
Resistance is directly proportional to length and inversely proportional to area of cross section of conducting material.
The proportionality constant introduced is called specific resistance which is different for different materials.
R=(pl) /A
p=RA/l
Before that, voltage is work done/charge
Dimensional formula of voltage
=(ML^2T^-2)/IT
=ML^2T^-3I^-1
Resistance is R=V/I
=ML^2T^-3I^-2
And now, specific resistance p=RA/l
p=(ML^2T^-3I^-2)*(L^2)/L
=ML^3T^-3I^-2
Hope it helps you !
Resistance is the property of the material to oppose the current passing through it.
Resistance is directly proportional to length and inversely proportional to area of cross section of conducting material.
The proportionality constant introduced is called specific resistance which is different for different materials.
R=(pl) /A
p=RA/l
Before that, voltage is work done/charge
Dimensional formula of voltage
=(ML^2T^-2)/IT
=ML^2T^-3I^-1
Resistance is R=V/I
=ML^2T^-3I^-2
And now, specific resistance p=RA/l
p=(ML^2T^-3I^-2)*(L^2)/L
=ML^3T^-3I^-2
Hope it helps you !
TheLostMonk:
there is no dimensional formula of resistance because its a current carrying/ restricting body .it has only charge(q) and Voltage ! the meaning of dimensions is having mass(M) ,length(L) and time(T) . charge and voltage is not a dimensional/fundamenntal unit . because resistance(R)=V/I..means potential difference/current .and you could say voltage/current.
Wrong Sir!
it's true dear ! resistance has no dimensions ,it has scales and these scales has dimensions ! but what you written above is not wrong ,that is derived unit but resistance has not specific dimensions ! resistance is dimensionless. and if you are not agree then you could search at Google etc that does resistance has dimensions? .okk now ! hope you getting !
Answered by
7
Hello!
Ohm's law :
V = IR ⇒ R = V / I
• Dimensions of V :
[V] = LMLT⁻² / AT
[V] = ML²T⁻³A⁻¹
• Dimension of A : [A]
Then,
• Dimension of R :
[R] = [V] / [I] = ML²T⁻³A⁻²
Cheers!
Ohm's law :
V = IR ⇒ R = V / I
• Dimensions of V :
[V] = LMLT⁻² / AT
[V] = ML²T⁻³A⁻¹
• Dimension of A : [A]
Then,
• Dimension of R :
[R] = [V] / [I] = ML²T⁻³A⁻²
Cheers!
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