A capacitor of capacitance 100 μF is connected to smooth railing and connector of mass 1 kg and length 1 m, whole system is in vertical plane and a magnetic field of strength 100 T is applied perpendicular to plane of circuit as shown. Connector is released under gravity. The time (in sec) after which dielectric of capacitor will burn out is k x 103 then find the value of k. Breaking strength of dielectric is 5 x 108 V/m. (d is the distance between plates of capacitor = 1 mm)