\(\epsilon\) Day Problem 1

Krish just learnt about the works of Michael Faraday and got amazed to learn them.

He tried to do an experiment for the same at his home. He took a coil with 12 loops and surface area of 20 \({m}^{2}\). He also noticed that the magnetic field strength is in the form [\({t}^{2}\) + 56789], where t is the time the magnet was inside the coil. He wonders for what minimum time he has to keep it inside the coil so that \(\epsilon\) is maximum?

Note: Krish has now generated a love for the 1000th decimal place but surely not beyond it!

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