Dimensions of Electric resistance

In summary, the dimension of ohms is the reciprocal of the wattage in watts. It is expressed in SI base units and is measured in milliamps per ohm.
  • #1
Shivansh Mathur
39
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.
 
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  • #2
How have you tried approaching this ?
 
  • #3
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?
 
  • #4
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".
 
  • #5
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.
 
  • #6
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.
 
  • #7
V=iR
R=V/i=w/Qi=w/it.t=ML2T-2/I2T=ML2T-3I-2
 
  • Like
Likes rosema
  • #8
This thread is from last year, please let it rest.
 

FAQ: Dimensions of Electric resistance

What is electric resistance?

Electric resistance is the measure of an object's opposition to the flow of electric current. It is measured in ohms (Ω) and is influenced by factors such as the material, size, and temperature of the object.

How do dimensions affect electric resistance?

The dimensions of an object, such as its length, cross-sectional area, and shape, can impact its electrical resistance. Generally, longer and thinner objects have higher resistance, while shorter and thicker objects have lower resistance.

What is the relationship between electric resistance and current?

According to Ohm's Law, there is a direct relationship between electric resistance and current. This means that as resistance increases, current decreases, and vice versa. The equation is R = V/I, where R is resistance, V is voltage, and I is current.

How does temperature affect electric resistance?

Temperature plays a significant role in electric resistance. In most materials, as temperature increases, resistance also increases. This is because higher temperatures cause more collisions between electrons and atoms, impeding the flow of current.

Can electric resistance be reduced or eliminated?

Yes, electric resistance can be reduced or eliminated by using materials with low resistance, such as copper or silver, or by increasing the cross-sectional area of an object. Additionally, superconductors have zero resistance at very low temperatures, allowing for the flow of electricity without any hindrance.

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