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A rod of length l is placed perpendicula...

A rod of length l is placed perpendicular to a long wire carrying current i. The rod is moved parallel to the wire with a velocity v. Find the emf induced in the rod, if its nearest end is at a distance ‘a’ from the wire.

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To solve the problem of finding the induced emf in a rod of length \( l \) that is moved parallel to a long wire carrying current \( i \), we can follow these steps: ### Step 1: Understand the Setup We have a long straight wire carrying a current \( i \). A rod of length \( l \) is placed perpendicular to this wire, and its nearest end is at a distance \( a \) from the wire. The rod is moving parallel to the wire with a velocity \( v \). ### Step 2: Magnetic Field Due to the Wire The magnetic field \( B \) at a distance \( x \) from a long straight wire carrying current \( i \) is given by the formula: \[ ...
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