Two rods, each of length `L = 0.6 m`, are rotating in same plane about their ends `C_(1)` and `C_(2)`. The distance between `C_(1)` and `C_(2)` is 1.201 m. The rods rotate in opposite directions with same angular speed `omega` and they are found to be in position shown in the Figure at a given instant of time. The ends `C_(1)` and `C_(2)` are connected using a conducting wire. There exists a uniform magnetic field perpendicular to the figure having magnitude `B = 5.0 T`. At what angular speed `omega` do we expect to see sparks in air? The dielectric breakdown of air happens if electric field in it exceeds `3 × 10^(6) Vm^(–1)`.

Answer

`omega = 1667 rads^(-1)`