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A uniform conducting wire of length 12a ...

A uniform conducting wire of length `12a` and resistance R is wound up as a current carrying coil in the shape of (i) an equilateral triangle of side a, (ii) a square of sides a and, (iii) a regular hexagon of sides a. The coil is connected to a voltage source `V_0`. Find the magnetic moment of the coils in each case.

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To find the magnetic moment of the coils in each case, we will follow these steps: ### Step 1: Determine the Current (I) in the Coil The current flowing through the coil can be calculated using Ohm's law: \[ I = \frac{V_0}{R} \] where \( V_0 \) is the voltage of the source and \( R \) is the resistance of the wire. ### Step 2: Find the Number of Turns (N) ...
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