A uniform magnetic field exists in a region given by B → = 3 i ^ + 4 j ^ + 5 k ^ T . A rod of length 5 m is placed along the y -axis and it is moved along the x -axis with constant speed 1 m s - 1 . T

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A uniform magnetic field exists in a region given by B → = 3 i ^ + 4 j ^ + 5 k ^ T . A rod of length 5 m is placed along the y -axis and it is moved along the x -axis with constant speed 1 m s - 1 . Then induced e.m.f. in the rod will be

TestHub · Accepted Answer

We know that Magnetic field vector B → = 3 i ^ + 4 j ^ + 5 k ^ length of rod L → = 5 j ^ velocity vector v → = 1 i ^ Induced emf is given as E = L → . v → × B → E = 5 j ^ ⋅ 1 i ^ × 3 i ^ + 4 j ^ +5 k ^ E = 5 j ^ . -5 j ^ +4 k ^ E = - 25 V

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