Force balances in our simulations. (a) RMS amplitudes of the forces, F_rms. Here, F_rms is calculated such that F_rms² = V⁻¹∫_V(F_x^′2 + F_y^′2 + F_z^′2)dV. Yellow, red, green, blue, and purple colors represent the nonlinear advection, pressure gradient, buoyancy, Coriolis, and Lorentz forces. The top and bottom panels show the HD and MHD simulations, respectively. (b) RMS amplitudes of the y-averaged forces, ${\stackrel{\sim }{F}}_{\mathrm{rms}}$. They are defined such that ${\stackrel{\sim }{F}}_{\mathrm{rms}}^2=V^{-1}{\displaystyle {\int }_V}({\stackrel{\sim }{F}}_x^{\prime 2}+{\stackrel{\sim }{F}}_z^{\prime 2})dV$. (c) Power spectra of the y-averaged forces in the middle height, z = 1.1 H_r, from HD-Co20 and from MHD-Co20 simulations. The dashed gray curves denote the ageostrophic Coriolis forces, ${\stackrel{\sim }{F}}_{\mathrm{Pre}}+{\stackrel{\sim }{F}}_{\mathrm{Cor}}$.