The figure shows an arbitrarily shaped planar conducting loop A in the XY plane. Two nonintersecting regions with areas \(a_1\) and \(a_2\) within the loop are subjected to magnetic fields \(\vec{B}_1=\dfrac{m}{\sqrt2}\sin(\omega t)\left(1\,\hat{x}+0\,\hat{y}+1\,\hat{z}\right)\), and \(\vec{B}_2=-\dfrac{n}{\sqrt2}\cos(2\omega t+\pi/4)\left(0\,\hat{x}+1\,\hat{y}+1\,\hat{z}\right)\), respectively.
What is the expression for the induced rms voltage in loop A?