Final answer:
A voltage isn't induced in a fixed coil placed near a current-carrying wire because there's no change in the magnetic field, and according to Faraday's Law of electromagnetic induction, a changing magnetic field is necessary to induce a voltage.
Step-by-step explanation:
The phenomenon you're referring to is known as electromagnetic induction, which is based on Faraday's Law of electromagnetic induction. However, according to this law, a voltage is induced in a loop of wire - or coil - when there's a change in the magnetic field through the loop. In your scenario, a constant current is flowing through the coil. This constant current creates a constant magnetic field. As there's no change in this magnetic field and hence, no change in the magnetic flux through the fixed coil placed nearby, no voltage is induced in it. It's necessary to have a changing magnetic field to generate a voltage in another coil in accordance with Faraday's Law of electromagnetic induction.
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