The resistance in a circuit is doubled. What happens to the voltage?

V = IR

(1 point)
Responses

The voltage is halved.
The voltage is halved.

The voltage remains the same.
The voltage remains the same.

The voltage is increased by a factor of 4.
The voltage is increased by a factor of 4.

The voltage is doubled.

1 answer

The relationship between voltage (V), current (I), and resistance (R) is described by Ohm's Law:

\[ V = IR \]

If the resistance (R) is doubled, the effect on voltage depends on the current (I):

  1. If the current remains constant, doubling the resistance would double the voltage because you need more voltage to maintain the same current with increased resistance.

  2. If the voltage remains the same and the resistance is doubled, the current would be halved.

Since the question does not specify whether the current is constant or not, the response that applies most directly is:

The voltage is doubled.

However, if we interpret the question with the assumption that we are maintaining the current constant while changing resistance, then the answer would be that the voltage is increased by a factor of 2, but this specific option is not provided. Therefore, assuming we maintain voltage constant and observe current changes leads us to:

The voltage is halved. (if you consider halving current under constant voltage)

The ambiguity in the question indicates that careful interpretation of conditions is crucial in determining the outcome, especially regarding constant parameters.