Question

If the resistance is halved and the voltage stay the same, what is the currents?

Answer 1

The current would be doubled.

Step-by-step explanation:

As per Ohm's Law:

We know,

V=
`I*`
`R`

where,

V=Voltage across the substance,

I-current through the substance,

R-Resistance of the substance.

Let initially,

V=
`V_(0);`
`I=I_(0)`;
`R=R_(0)`

Using Ohm's law,we get,

`V_(0) =I_(0)R_(0)`

`I_(0) =(V_(0) )/(R_(0) )` (Equation 1)

Afterwards it is given that Voltage is same and Resistance is halved.

Therefore (assuming final voltage,current and resistance are
`V_(f),I_(f),R_(f)` respectively)

`V_(f)=V_(0);[tex]R_(f)=(R_(0) )/(2)`[/tex];

Using Ohm's law,we get

`V_(f)=I_(f)R_(f)`

`V_(0)=I_(0)*(R_(0) )/(2)`

`I_(f)=(2V_(0) )/(R_(0) )`

Using Equation 1, we get,

`I_(f) = 2I_(0)`

Therefore the current is doubled.