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 $R = 0.01\,\,{\rm{\Omega }}$. 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? $\left( {T = tesla} \right)$