Dimensions of Electric resistance

[Shivansh Mathur]

Can I get the derivation of the dimensions of the physical quantity ELECTRIC RESISTANCE which is given by :-

A simple derivation is only required.
Thanks in advance.

 

[Qwertywerty]

How have you tried approaching this ?

 

[f95toli]

That does not look right to me...
Are you sure that is supposed to be the unit of electrical resistance (i.e. the ohm) expressed in SI base units?

 

[Shivansh Mathur]

I am so sorry!
This is not the correct formula. The correct one is this-

Now can i get to know how we have arrived at this?
I saw this question in a competitive exam. I'm a student of class 10 with very basic knowledge in the subject. However, i know that this equation basically gives us the relation between resistance and various properties of the conductor.

seeking for a description about this thing called "dimension of ohms".

 

[SteamKing]

I am so sorry!
This is not the correct formula. The correct one is this-
View attachment 87773
Now can i get to know how we have arrived at this?
I saw this question in a competitive exam. I'm a student of class 10 with very basic knowledge in the subject. However, i know that this equation basically gives us the relation between resistance and various properties of the conductor.

seeking for a description about this thing called "dimension of ohms".

Start with Ohm's Law: V = I R

R - resistance in Ohms
V - voltage
I - current

If you look up the derived units for voltage and current, applying Ohm's Law will give you the basic units for Ohms.

 

[Shivansh Mathur]

Ok i got a better way to do it. Have studied about the SI units and the derived units.
It has automatically taken me to the answer.
Thank you.

 

[SASANKA]

V=iR
R=V/i=w/Qi=w/it.t=ML2T-2/I2T=ML2T-3I-2

 

[mfb]

This thread is from last year, please let it rest.