Which of the following would double the amount of current flowing through a piece of metal...

Question

Which of the following would double the amount of current flowing through a piece of metal wire?

Halve the voltage across it.
Double the voltage across it.
Quarter the voltage across it.
Quadruple the voltage across it.

Revelant knowledge

The Linear Relationship between the Voltage and Current: In accordance with ohm's law the voltage and current across the resistor increase or decrease in a linear manner. This V-I (Voltage-Current ) graph is described by a straight-line. its slope reflects what the resistance is of the resistor.

ptntuto · Accepted Answer

Tracy Byrne · Answer

Concepts and Reason

This problem can be solved using ohm’s law, which gives an equation between voltage and current in conductors. Check how much voltage change would result in a doubled current through a wire made of metal.

Fundamentals

Ohm's law says that the current ( i) passing through a conductor between 2 points is directly proportional the voltage ( V) across those points.

[katex]\begin{array}{l}\{ m{ }}V\alpha { m{ }}i\\V = iR\\end{array}[/katex]

R is the resistance of conductor.

Rearrange the equation above for i.

[katex]i = \frac{V}{R}[/katex]

The current ( I) flows through a piece metal wire whose ends are located between potential differences ( V).

[katex]i = \frac{V}{R}[/katex]

R here is the resistance.

It is evident from the above equation that the current in the wire of metal is directly proportional with the voltage.

The current would be half of the voltage across the wire.

Therefore, the current flowing through the wire can't be doubled if half of the voltage is across it.

The current would be quartered if the voltage across the wire was half its value.

Therefore, a quarter of the voltage across a metal wire can not double the current flowing through.

Quadruple of the voltage across the wire would result in quadruple of the current flowing through it.

Therefore, a quadruple of the voltage across a metal wire will not double the current flowing through it.

The voltage is directly proportional with the current in the wire. To double the voltage in the metal wire, you must double the current.

Double the voltage will result in double the current through a piece or metal wire.

Ans:

The current through the wire would be doubled if the voltage were twice as high.

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