  We investigate theoretically the balance of the static magnetic and the
dynamical photon forces in the electron transport through a quantum dot in a
photon cavity with a single photon mode. The quantum dot system is connected to
external leads and the total system is exposed to a static perpendicular
magnetic field. We explore the transport characteristics through the system by
tuning the ratio, $\hbar\omega_{\gamma} / \hbar\omega_c$, between the photon
energy, $\hbar\omega_{\gamma}$, and the cyclotron energy, $\hbar\omega_c$.
Enhancement in the electron transport with increasing electron-photon coupling
is observed when $\hbar\omega_{\gamma} / \hbar\omega_c > 1$. In this case the
photon field dominates and stretches the electron charge distribution in the
quantum dot, extending it towards the contacts area for the leads. Suppression
in the electron transport is found when $\hbar\omega_{\gamma} / \hbar\omega_c <
1$, as the external magnetic field causes circular confinement of the charge
density around the dot.
