This question involves the concepts of induced emf and magnetic field.
The wire has to move at a speed of "20 m/s".
Speed of Wire
The emf induced in a current carrying conductor when it passes through a magnetic field is given by the following formula:
[tex]E = vBl\\\\v=\frac{E}{Bl}[/tex]
where,
- v = speed = ?
- E = induced emf = 10 volts
- B = magnetic field = 2.5 T
- l = length of wire = 0.2 m
Therefore,
[tex]v=\frac{10\ volts}{(2.5\ T)(0.2\ m)}[/tex]
v = 20 m/s
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