Q66. - Algebra 2

Question

Use the formula $I=\frac{E}{R+r}$ to find the amount of current I (in amperes) produced if the electromotive force E is $1.5$ volts, the circuit resistance R is $2.35$ ohms, and the resistance r within a battery is $0.15$ ohms.

Step-by-Step Solution

Answer

The amount of current I produced is $0.6$ amperes.

Step-1 – Apply the substitution method of solving equations

The algebraic method of substitution involves solving the one of the two equations for one variable in terms of other variable and then substituting the expression so formed for the variable in the second equation.

Step-2 – Example for substitution

To solve the equation $x+y=2$ when it is given that $x=1$ substitute the values and solve as shown below.

$\begin{array}{c}x+y=2\\ 1+y=2\\ y=1\end{array}$

Step-3 – Evaluate the expression

Now, substitute the values of R, E, and r in the formula $I=\frac{E}{R+r}$ and find the value of current I.

$\begin{array}{c}I=\frac{E}{R+r}\\ =\frac{1.5}{2.35+0.15}\\ =\frac{1.5}{2.5}\\ =0.6\end{array}$

Hence, the amount of current I produced is $0.6$amperes.