A current carrying wire of length 37 cm is positioned perpendicular to a uniform magnetic field. If the current is 3.2 A and it is determined that there is a resultant force of 2.5 N on the wire due to the interaction of the current and field, what is the magnetic field strength?

Respuesta :

Answer:

The magnetic field strength is 2.11 T.

Explanation:

It is given that,

Length of the wire, L = 37 cm = 0.37 m

Current, I = 3.2 A

Force, F = 2.5 N

Magnetic force is given by :

[tex]F=qvB\ sin\theta[/tex]

Here, [tex]\theta=90,sin\ \theta=1[/tex]

[tex]F=qvB[/tex]

We know that,

Velocity, [tex]v=\dfrac{L}{t}[/tex]

[tex]F=\dfrac{qLB}{t}[/tex]

Since, [tex]\dfrac{q}{t}=I[/tex]

[tex]F=ILB[/tex]

[tex]B=\dfrac{F}{IL}[/tex]

[tex]B=\dfrac{2.5\ N}{3.2\ A\times 0.37\ m}[/tex]

B = 2.11 T

So, the magnetic field strength is 2.11 T. Hence, this is the required solution.

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