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 \(10^{-3}\) s. Then what is the total heat produced in her necklace?