Question

4.1.2 quiz: electricity
question 1 of 10
which change to a circuit is most likely to increase its electrical power?
a. decrease its current and decrease its voltage.
b. decrease its current and increase its voltage.
c. increase its current and increase its voltage.
d. increase its current and decrease its voltage.

Explanation:

Step1: Recall the formula for electrical power

The formula for electrical power is \(P = IV\), where \(P\) is power, \(I\) is current, and \(V\) is voltage.

Step2: Analyze each option

• Option A: If \(I\) (current) decreases and \(V\) (voltage) decreases, then \(P = IV\) will decrease (since both factors are getting smaller).
• Option B: If \(I\) decreases and \(V\) increases, the effect on \(P\) is not straightforward (it depends on the magnitude of change of \(I\) and \(V\)). But generally, a decrease in \(I\) works against increasing \(P\).
• Option C: If \(I\) increases and \(V\) increases, then \(P=IV\) will increase (since both factors are getting larger). For example, if \(I\) was \(2\) A and \(V\) was \(3\) V (\(P = 6\) W), and then \(I = 3\) A and \(V=4\) V (\(P=12\) W).
• Option D: If \(I\) increases and \(V\) decreases, the effect on \(P\) is not straightforward (it depends on the magnitude of change of \(I\) and \(V\)). But generally, a decrease in \(V\) works against increasing \(P\).

Answer:

C. Increase its current and increase its voltage.