Question

question 5 of 20 which set of changes is most likely to cause the current in an electrical circuit to stay the same? a. decreasing voltage and keeping resistance constant b. increasing voltage and increasing resistance c. increasing voltage and keeping resistance constant d. keeping voltage constant and increasing resistance

Explanation:

Step1: Recall Ohm's Law

Ohm's Law is $I = \frac{V}{R}$, where $I$ is current, $V$ is voltage and $R$ is resistance.

Step2: Analyze Option A

If $V$ decreases and $R$ is constant, from $I=\frac{V}{R}$, $I$ will decrease.

Step3: Analyze Option B

If $V$ increases and $R$ increases proportionally such that $\frac{V}{R}$ remains the same, then $I$ (from $I = \frac{V}{R}$) will stay the same. For example, if $V$ doubles and $R$ doubles, $\frac{V}{R}$ is unchanged.

Step4: Analyze Option C

If $V$ increases and $R$ is constant, from $I=\frac{V}{R}$, $I$ will increase.

Step5: Analyze Option D

If $V$ is constant and $R$ increases, from $I=\frac{V}{R}$, $I$ will decrease.

Answer:

B. Increasing voltage and increasing resistance