Solve the problem.
-The current in a simple electrical circuit is given by $\mathrm { I } = \mathrm { V } / \mathrm { R }$, where $\mathrm { I }$ is the current in amperes, $\mathrm { V }$ is the voltage in volts, and $\mathrm { R }$ is the resistance in ohms. When $\mathrm { V } = 12$ volts, what is a $12 \Omega$ resistor's tolerance for the current to be within $1 \pm 0.01$ amp?
A) $0.01 \%$
B) $10 \%$
C) $1 \%$
D) $0.1 \%$

Question

Quizplus · Accepted Answer

Substituting the given values, we have
$\mathrm { I }=\frac{12 \mathrm { V } }{12 \Omega}=1\mathrm { A }$
To find the tolerance, we use the formula for percent error:
$\% \ \mathrm {  Error }=\frac{\mathrm { Measured }-\mathrm { Actual }}{\mathrm { Actual }} \times 100 \% $
Here, the actual current is 1 A, and the measured current is between 1.01 A and 0.99 A.
Taking the maximum value, we have
$\% \ \mathrm { Error }=\frac{1.01-1}{1} \times 100 \%=1\%$
Therefore, the tolerance of the $12 \Omega$ resistor is 1%. Thus, the correct choice is C.

Solve the Problem I=V/R\mathrm { I } = \mathrm { V } / \mathrm { R }I=V/R

Solve the Problem $\mathrm { I } = \mathrm { V } / \mathrm { R }$