Q1 / 111 · NTA Abhyas (NEET) 2020 · Physics · Electromagnetic Induction

A uniform magnetic field exists in a region given by B→=3i^+4j^+5k^ 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

  • A
    zero
  • Correct answer
    B
    25 V
  • C
    20 V
  • D
    15 V

Solution

We know that

Magnetic field vector B→=3i^+4j^+5k^

length of rod L→=5j^

velocity vector v→=1i^

Induced emf is given as

E=L→.v→×B→

E=5j^⋅1i^×3i^+ 4j^+5k^

E=5j^.-5j^+4k^

E=-25 V

Hence, the correct answer is option: 'B'.

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