Faraday's Law of induction stays that the induced emf is equal to negative rate of change of magnetic field connected with the circuit. Now let us consider a closed circuit made of wire with a resistor, a batter and a changing magnetic field that passes through the circuit. If there was no batter then by FLI
closed-line-integral(Electricfield)=-(rate of change of magnetic field)
Now if the batter is connected will the equation become
closed-line-integral(Electricfield)=-(rate of change of magnetic field)+(battery emf)?