How will resistance change when the voltage increases in an electric circuit if the current remains constant
I = E/R. The resistance remains constant. Therefore, the current increases when you increase the voltage(E).
To understand how resistance changes when the voltage increases in an electric circuit while keeping the current constant, you need to know Ohm's Law. Ohm's Law states that the current flowing through a conductor is directly proportional to the voltage across it and inversely proportional to its resistance.
Let's assume we have a circuit with a constant current. By keeping the current constant, we know that its value will not change regardless of any variations. Now, if we increase the voltage applied to the circuit, according to Ohm's Law, the resistance must change in order to maintain a constant current.
Ohm's Law can be expressed using the equation:
V = I * R
Where V represents voltage, I represents current, and R represents resistance.
Since we are holding the current constant (I constant), and we want to determine the effect of increasing the voltage, we can rearrange the equation:
R = V / I
So, by increasing the voltage (V), the resistance (R) will change in proportion to maintain the constant current (I). As the voltage increases, the resistance will also increase to keep the current constant. This is because the relationship between voltage and resistance is linear and inversely proportional, meaning that an increase in voltage requires an equivalent increase in resistance to maintain a constant current.