C. 20 T
The strength of the magnetic field is equal to 20 Tesla.
Explanation:
Given:
Induced potential difference = V = 12 V
Length of wire = L = 0.20 m
Speed of the moving wire = V = 3.0 m/s
Magnetic field strength = B = ?
A conductor, placed in a uniform magnetic field; when moved at a constant speed with respect to the field, leads to a changing magnetic flux, generating an electromotive force (EMF). Using, Faraday's law of magnetic induction, a moving conductor's induced EMF in terms of the magnetic field strength is given by :
[tex]E = L\times V\times B[/tex]......................(1)
where
E = Induced potential difference (EMF)
L = Length of the conductor
V = Speed of the conductor moved with respect to the magnetic field
B = Strength of uniform magnetic field
Rewriting equation (1) for B, we get
[tex]B = \frac{E}{L\times V} = \frac{12}{0.2\times 3} = \frac{12}{0.6} = 20\ T[/tex]
The strength of magnetic field is equal to 20 Tesla.
