  We consider extreme mass ratio inspirals during which an electrically charged
compact object with mass $m_p$ and the charge to mass ratio $q$ inspirals
around a Schwarzschild black hole of mass $M$. Using the Teukolsky and
generalized Sasaki-Nakamura formalisms for the gravitational and
electromagnetic perturbations around a Schwarzschild black hole, we numerically
calculate the energy flux of both gravitational and electromagnetic waves
induced by a charged particle moving in circular orbits. With one year
observation of these extreme mass ratio inspirals, we show that space-based
gravitational wave detector such as the Laser Interferometer Space Antenna can
detect the charge to mass ratio as small as $q\sim 10^{-3}$.
