  We use the Lyon-Fedder-Mobarry global magnetohydrodynamics model to study the
effects of the interplanetary magnetic field (IMF) $\mathit{B}_{y}$ component
on the coupling between the solar wind and magnetosphere-ionosphere system when
IMF $\mathit{B}_{z}$ $>$0. We describe the evolution of how a magnetospheric
$\mathit{B}_{y}$ component is induced on closed field lines during these
conditions. Starting from dayside lobe reconnection, the magnetic tension on
newly reconnected field lines redistribute the open flux asymmetrically between
the two hemispheres. This results in asymmetric magnetic energy density in the
lobes. Shear flows are induced to restore equilibrium, and these flows are what
effectively induces a local $\mathit{B}_{y}$ component. We show the radial
dependence of the induced $\mathit{B}_{y}$ and compare the results to the
induced $\mathit{B}_{y}$ during southward IMF conditions. We also show the
response and reconfiguration time of the inner magnetosphere to IMF
$\mathit{B}_{y}$ reversals during northward IMF $\mathit{B}_{z}$. A superposed
epoch analysis of magnetic field measurements from seven Geostationary
Operational Environmental Satellite spacecraft at different local times both
for negative-to-positive and positive-to-negative IMF $\mathit{B}_{y}$
reversals is presented. We find that the induced $\mathit{B}_{y}$ responds
within 16 min of the arrival of IMF $\mathit{B}_{y}$ at the bow shock, and it
completely reconfigures within 47 min.
