Dimensions of Electric resistance

Click For Summary

Discussion Overview

The discussion revolves around the derivation of the dimensions of electric resistance, specifically focusing on the relationship between resistance, voltage, and current as described by Ohm's Law. Participants seek clarity on the correct formula and the underlying principles related to the dimensions of ohms.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant requests a simple derivation of the dimensions of electric resistance.
  • Another participant questions the correctness of the unit of electrical resistance expressed in SI base units.
  • A participant acknowledges a mistake in the formula and seeks clarification on how to arrive at the correct dimensions of ohms.
  • One participant suggests starting with Ohm's Law (V = I R) to derive the units for resistance.
  • Another participant claims to have found a better way to derive the dimensions based on their study of SI and derived units.
  • A later reply provides a mathematical expression for resistance in terms of base units, but does not clarify its correctness.
  • One participant requests to end the discussion, indicating it has been ongoing for some time.

Areas of Agreement / Disagreement

Participants express differing views on the correctness of the formulas presented, and there is no consensus on the derivation of the dimensions of electric resistance. Some participants acknowledge errors while others propose different approaches without agreement on a final answer.

Contextual Notes

There are unresolved questions regarding the assumptions behind the formulas and the definitions of the units involved. The discussion reflects varying levels of understanding among participants, particularly with one participant identifying as a student with basic knowledge.

Shivansh Mathur
Messages
39
Reaction score
2
Can I get the derivation of the dimensions of the physical quantity ELECTRIC RESISTANCE which is given by :-
wf.PNG

A simple derivation is only required.
Thanks in advance.
 
Physics news on Phys.org
How have you tried approaching this ?
 
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?
 
I am so sorry!
This is not the correct formula. The correct one is this-
fff.PNG

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".
 
Shivansh Mathur said:
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.
 
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.
 
V=iR
R=V/i=w/Qi=w/it.t=ML2T-2/I2T=ML2T-3I-2
 
  • Like
Likes   Reactions: rosema
This thread is from last year, please let it rest.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
912
  • · Replies 20 ·
Replies
20
Views
2K
  • · Replies 16 ·
Replies
16
Views
2K
Replies
36
Views
4K
  • · Replies 57 ·
2
Replies
57
Views
14K
  • · Replies 22 ·
Replies
22
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
485
  • · Replies 4 ·
Replies
4
Views
2K