Respuesta :
Voltage must decrease by a factor of 3 to reduce the current in the resistor by a factor of 3
Answer: Option A
Explanation:
According to ohms law, the voltage passed in a circuit will be directly proportional to the current flow in the circuit. So the resistance of the resistor will act as proportionality constant in ohms law. Let us consider V as original voltage producing a current I in resistor of resistance R. Then according to ohms law:
[tex]V=I \times R[/tex]
Now the revised current flow in the circuit is reduced by a factor of 3, So the new current is [tex]\frac{I}{3}[/tex] in the same resistance R, then the new voltage will be
[tex]V^{\prime}=\frac{I \times R}{3}=\frac{V}{3}[/tex]
So, the voltage must be reduced by a factor of 3 to reduce the current in the resistor by a factor of 3.