Question

1. the maximum voltage is 1 v and the maximum current is 1 a in a given resistor. should a 1 w or a 2 w resistor be used? why?
2. a 6.8 kω resistor has burned out in a circuit. you must replace it with another resistor with the same resistance value. if the resistor carries 10 ma, what should its power - rating be? assume you have available resistors with the standard power ratings.

Explanation:

Step1: Recall power - voltage - current formula

The power formula is $P = VI$.

Step2: Calculate power for given resistor

Given $V = 1\ V$ and $I = 1\ A$, then $P=1\times1 = 1\ W$.

Step3: Determine the required resistor

Since the maximum power dissipated in the resistor is 1 W, a 1 W resistor can be used. A 2 W resistor can also be used as it has a higher power - handling capacity and will not overheat under the given conditions.

Answer:

A 1 W or a 2 W resistor can be used. A 1 W resistor can handle the maximum power dissipated in the given conditions ($P = VI=1\times1 = 1\ W$), and a 2 W resistor has a higher power - handling capacity and will also work without overheating.