Answer:
D: keeping voltage constant and increasing resistance.
Step-by-step explanation:
The current in an electrical circuit is determined by Ohm's law, which states that the current is directly proportional to the voltage and inversely proportional to the resistance.
Mathematically, Ohm's law can be expressed as:
I = V/R
where I is the current, V is the voltage, and R is the resistance.
We need to make sure that the right-hand side of the equation remains constant to keep the current in the circuit the same. Therefore, we can look at each set of changes and see how they affect the right-hand side of the equation.
A. Decreasing voltage and keeping resistance constant:
- If we decrease the voltage (V) and keep the resistance (R) constant, the right-hand side of the equation becomes smaller. This means that the current (I) will also decrease, so this set of changes will not cause the current to stay the same.
B. Increasing voltage and increasing resistance:
- If we increase both the voltage (V) and resistance (R), the right-hand side of the equation can go either way, depending on which one increases more. However, in most cases, the current (I) will increase, so this set of changes will not cause the current to stay the same.
C. Increasing voltage and keeping resistance constant:
- If we increase the voltage (V) and keep the resistance (R) constant, the right-hand side of the equation becomes larger. This means that the current (I) will also increase. Therefore, this set of changes will not cause the current to stay the same.
D. Keeping voltage constant and increasing resistance:
- If we keep the voltage (V) constant and increase the resistance (R), the right-hand side of the equation becomes smaller. This means that the current (I) will decrease. Therefore, this set of changes is most likely to cause the current in an electrical circuit to stay the same.
So, the correct answer is D: keeping voltage constant and increasing resistance.