Prove the limit statement
-The current in a simple electrical circuit is given by I = V/R, where I is the current in amperes, V is the voltage in volts, and R is the resistance in ohms. When V = 12 volts, what is a 12 resistor's tolerance for the current to be
Within 1 ± 0.01 amp?
A) 0.1%
B) 1%
C) 10%
D) 0.01%

Question

Quizplus · Accepted Answer

Given I = V/R and V = 12 volts, for I to be within 1 ± 0.01 amp, the resistance R must allow for a current between 0.99 and 1.01 amps. Solving for R when I = 1.01 and 0.99 amps using R = V/I gives two different resistance values. The percentage difference between these resistance values and the nominal value (12 ohms) gives the tolerance. This calculation results in a tolerance of approximately 1%.

Prove the Limit Statement