How must the voltage across a resistor change to reduce the current in the
resistor by a factor of 3?
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A. It must decrease by a factor of 3.
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B. It must increase by a factor of 3.
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c. It must decrease by a factor of 9.
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D. It must increase by a factor of 9.

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.        

Answer: A. It must decrease by a factor of 3

Explanation: A P E X