358430 A physicist works in a laboratory where the magnetic field is \(2\;T\). She wears a necklace enclosing area \(0.01\;{m^2}\) in such a way that the plane of the necklace is normal to the field and is having a resistance \(R=0.01 \Omega\). Because of power failure, the field decays to \(1\;T\) in time \(10^{-3}\) seconds. Then what is the total heat produced in her necklace?