What happens to resistance when voltage increases but current is constant?
If the current is held constant, an increase in voltage will result in an increase in resistance.
When the voltage increases but the current is constant, according to Ohm's Law (V = I * R), the resistance should also increase. This relationship between voltage, current, and resistance is directly proportional, meaning that as one value increases, the other value increases as well, assuming the remaining value is held constant. So, in this scenario, an increase in voltage while keeping the current constant will result in an increase in resistance.
When the voltage increases while the current remains constant, the resistance in the circuit will also increase.
To understand why this happens, we need to recall Ohm's Law, which states that the current flowing through a conductor is directly proportional to the voltage applied across it, and inversely proportional to the resistance of the conductor. Mathematically, Ohm's Law is represented as:
V = I * R
where:
V = Voltage (in volts)
I = Current (in amperes)
R = Resistance (in ohms)
If we consider a scenario where the current (I) remains constant and the voltage (V) increases, according to Ohm's Law, the resistance (R) must also increase to maintain the constant current.
This can be further explained by rearranging Ohm's Law to solve for resistance:
R = V / I
Since I is constant and V is increasing, dividing a larger voltage by a constant current will result in a larger value for resistance. Therefore, when voltage increases while keeping the current constant, the resistance in the circuit also increases.