A cylindrical conducting rod is kept with its axis along positive z-axis, where a uniform magnetic field exists parallel to z-axis. The current induced in the cylinder is

Q: A cylindrical conducting rod is kept with its axis along positive z-axis, where a uniform magnetic field exists parallel to z-axis. The current induced in the cylinder is

The induced emf \$e\$ in a conducting rod of length \$l\$, moving with a velocity \$v\$, in a uniform magnetic field, is given by, \$e=Bvl\sin\theta\$,where \$\theta=\$ angle between \$\vec v\$ and \$\vec B\$,in the given problem, as the rod is static i.e. \$v=0\$ and parallel to the magnetic field \$\theta=0\$ therefore induced emf in rod will be, \$e=0\$,hence, \$i=0\$ (induced current)

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The induced emf $e$ in a conducting rod of length $l$, moving with a velocity $v$, in a uniform magnetic field, is given by,              $e=Bvl\sin\theta$,where $\theta=$ angle between $\vec v$ and $\vec B$,in the given problem, as the rod is static i.e. $v=0$ and parallel to the magnetic field $\theta=0$ therefore induced emf in rod will be,               $e=0$,hence,  $i=0$ (induced current)

Magnetism And Matter

Physics
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