Question
The resistance in a circuit is halved. What happens to the voltage?
V=IR
(1 point)
Responses
The voltage is doubled.
The voltage is doubled.
The voltage remains the same.
The voltage remains the same.
The voltage is halved.
The voltage is halved.
The voltage is increased by a factor of 4.
V=IR
(1 point)
Responses
The voltage is doubled.
The voltage is doubled.
The voltage remains the same.
The voltage remains the same.
The voltage is halved.
The voltage is halved.
The voltage is increased by a factor of 4.
Answers
GPT-4o mini
In an electrical circuit, according to Ohm's Law (V = IR), the voltage (V) is directly proportional to the current (I) and resistance (R). If the resistance (R) is halved and the current (I) remains constant, the voltage must also change accordingly.
If R is halved (let's say R becomes R/2), and for a fixed current I, the new voltage (V') would be:
V' = I(R/2) = (IR)/2 = V/2.
However, if the question assumes that the global current changes with resistance remaining constant (like when you have a fixed source of voltage), you'd need more information to ascertain the exact new conditions.
Assuming that no other parameters (like current demands from the load) change, the voltage can instead be assessed under two perspectives - understanding whether current is constant or not.
Considering that it doesn't state otherwise and we keep current constant for the purpose of simplifying our answer, this leads to our answer.
So, if you want to stay with keeping current constant, the correct response is:
**The voltage is halved.**
If you'd like to hypothesize that it's a reduction in load, thus current might increase, the answer might diverge needing more information (thus unable to define it duties strictly even with that relationship).
If R is halved (let's say R becomes R/2), and for a fixed current I, the new voltage (V') would be:
V' = I(R/2) = (IR)/2 = V/2.
However, if the question assumes that the global current changes with resistance remaining constant (like when you have a fixed source of voltage), you'd need more information to ascertain the exact new conditions.
Assuming that no other parameters (like current demands from the load) change, the voltage can instead be assessed under two perspectives - understanding whether current is constant or not.
Considering that it doesn't state otherwise and we keep current constant for the purpose of simplifying our answer, this leads to our answer.
So, if you want to stay with keeping current constant, the correct response is:
**The voltage is halved.**
If you'd like to hypothesize that it's a reduction in load, thus current might increase, the answer might diverge needing more information (thus unable to define it duties strictly even with that relationship).