the magnetic needle of a compass deflected when electric current flows through a wire wrapped around it
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It deflected due to change in magnetic field. Because of the flow of current the magnetic field produced which cause the deflection of compass needle.
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The magnetic needle itself is a small compass. So when it is brought near a current carrying conductor, it shows deflection. This is because electric current produces a magnetic field around it. Electricity and magnetism are linked to each other. A magnet shows deflection when it is brought near another magnet. Same logic.
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