Knowing that R is the independent variable and V is the dependent variable, If I

Question

Knowing that R is the independent variable and V is the dependent variable, If I is the current in the external resistor R and r is the internal resistance of the cell, the equation for the whole circuit is:

            E = I(R + r)          …….(i)

            For the same current in the external resistor R, the terminal voltage is given by:

            V = IR                  …….(ii)                                                                 

5.         Use equations (i) and (ii) to solve for r by eliminating I and write this equation the form:

y = mx + b

            how do i write the equation in the form y= mx+b with R as the independent variable and V as the dependent variable?

Explanation / Answer

As given that

E = I * ( R + r) ......(1)

V = I * R ........(2)

so, I = V/R

put this form of l in eq(1)

E = (V/R) * ( R + r)

E * R/V = R + r

r = E*R / V - R

OR

r = E*R / V + (-R)

(y = m*x + b)

Here, dependent variable is r

lndependent variable is V

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