A wire cd of length l and mass m is sliding without friction on conducting rails ax and…

Physics · JEE Advanced · NTA ExamsElectromagnetic Induction and Alternating Currents

A wire cd of length l and mass m is sliding without friction on conducting rails ax and by as shown. The vertical rails are connected to each other with a resistance R between a and b. A uniform magnetic field B is applied perpendicular to the plane abcd such that cd moves with a constant velocity of
  1. \(\frac{\mathrm{mgR}}{\mathrm{~B} \ell}\)
  2. \(\frac{\mathrm{mgR}}{\mathrm{~B}^{2} \ell^{2}}\)
  3. \(\frac{\mathrm{mgR}}{\mathrm{~B}^{3} \ell^{3}}\)
  4. \(\frac{\mathrm{mgR}}{\mathrm{~B}^{2} \ell}\)

Answer

(B) mgR ~B ^ 2 ^ 2

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