Answer
$\mathcal{E} = -\frac{d\Phi_B}{dt}$, where the negative sign represents Lenz's law.
Explanation
The induced electromotive force produces a current whose magnetic field opposes the original change in magnetic flux through the circuit.
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What is Faraday's law of electromagnetic induction for a loop of wire enclosing magnetic flux $\Phi_B$?
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