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- Homework Statement
- A 2 metre long straight wire is being pulled with a speed of 30m/s perpendicular to a magnetic field of ##180×10^{-6}T##.What is the amount of induced e.m.f due to this motion?

- Relevant Equations
- ##\epsilon =-\frac{d{ \vec A \cdot \vec B} } {dt} , \text{ } \epsilon=##induced e.m.f ,## \text{ } ####\vec A=##Area vector ,## \text{ } \vec B=##Magnetic field

This question appeared in a university entrance exam.Basically, if magnetic flux passing through a surface of a loop changes over time ,only then e.m.f will be induced to that loop.But here only a straight line is used and there's no chance of forming any area.So by definition there's no chance of induced e.m.f production.Hence the question is wrong.Am I right?