Rearranging Resistance Formula: Y = Mx + C

In summary, the purpose of rearranging the resistance formula is to solve for a specific variable that is not already isolated in the equation. To do this, you must identify the variable you want to solve for and use algebraic operations to isolate it. The most common variables in the resistance formula are Y, M, x, and C. The slope (M) in the resistance formula represents the change in resistance for every unit change in the independent variable (x). The resistance formula (Y = Mx + C) can be used for all types of resistors, as long as the relationship between resistance and the independent variable can be expressed as a linear equation.
  • #1
chunbryan
2
0
how do you rearrange the formula of resistance = (resistivity x length) / 4(d/2)squared to a y=mx+c equation


resistance (R) = (resistivity x length) / 4(d/2)squared
where resistance is the dependant variable, diameter of wire (d) is the dependant variable


what i got was 2 times square root R = (2 x resisitivity x length) x 1/d

help would be appreciated! :D
 
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  • #2


Since the d2 begins in the denominator, why not first take the reciprocal of both sides? That'll move the d2 to the numerator. Then apply the square root.
 
  • #3


thanks :) i was really stuck :P
thanks again!
 

FAQ: Rearranging Resistance Formula: Y = Mx + C

1. What is the purpose of rearranging the resistance formula?

The purpose of rearranging the resistance formula is to solve for a specific variable that is not already isolated in the equation. This allows for easier manipulation and calculation of the formula.

2. How do you rearrange the resistance formula?

To rearrange the resistance formula, you must first identify the variable you want to solve for. Then, use algebraic operations such as addition, subtraction, multiplication, and division to isolate that variable on one side of the equation, while moving all other terms to the other side.

3. What are the common variables in the resistance formula?

The most common variables in the resistance formula are Y (resistance), M (slope), x (independent variable), and C (y-intercept). These variables are used to represent different aspects of the relationship between resistance and the independent variable.

4. What is the significance of the slope in the resistance formula?

The slope (M) in the resistance formula represents the change in resistance for every unit change in the independent variable (x). A steeper slope indicates a larger change in resistance, while a flatter slope indicates a smaller change in resistance.

5. Can the resistance formula be used for all types of resistors?

Yes, the resistance formula (Y = Mx + C) can be used for all types of resistors, as long as the relationship between resistance and the independent variable can be expressed as a linear equation. However, the values of the slope and y-intercept may differ depending on the specific type of resistor being analyzed.

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