Question

How does Voltage Affect a Magnetic Field?

Answer 1

Hint:Magnetic Field is the region around a magnet in which a magnetic force can be experienced. In this region any magnetically active body or any moving charge experiences a magnetic field. Movement of an electric charge or we can say that flowing of current in a conductor makes electric fields around them.

Complete answer:
Magnetic field does not directly depend on the voltage, but it depends on the current and current is related to voltage and resistance by OHM’s Law
Magnitude of Magnetic Field is given by $B={\displaystyle \frac{{\mu }_{0}I}{2\pi r}}$
Where ${\mu }_0$ is permeability of free space
r is the distance of separation
$I$ is the current and B is the magnetic field in Tesla (T).
Now we can see that Magnetic field is directly Proportional to Current(I) and we know that,
$V=IR$ OR,
$I={\displaystyle \frac{V}{R}}$
Where R is the resistance and V is the voltage.
Since Current ($I$) is directly proportional to Voltage (V). Let us put this value of I on our formula of magnetic field.
We get, $$B={\displaystyle \frac{{\mu }_{0}I}{2\pi r}}$$
$B={\displaystyle \frac{{\mu }_{0}V}{2\pi rR}}$ ………………………..[magnetic field formula in terms of Voltage (V)]
Now from the above formula we can say that magnetic field is directly proportional to Voltage (V).
Hence, If we increase the voltage of a source then the magnetic field will also increase.

Note:
From the above equation we also got to know that, Magnetic field is inversely proportional to the Resistance R, so if the resistance will increase then our magnetic field will decrease and vice versa. And we also got to know that Magnetic field is also inversely proportional to the distance r.