A square wire loop having side length \(a\), mass \(m\), and resistance \(R\) is moving along the positive \(x\)-axis at a speed of \(v_0\). It enters a uniform, steady magnetic field \(\vec B = B_0 \big(-\widehat k \big) \) at \(t = 0 \) seconds, as shown in the figure.

Find the total amount of heat loss in the resistance.

**Details and Assumptions:**

The magnitude of \(v_0 \) is sufficient that the loop comes out of the region of magnetic field with some speed.

Neglect any type of energy loss other than the heat loss in resistance of the wires of the square.

Take \( v_0 = \dfrac{3B^2 a^3}{mR} \).

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