  The field of gravitational waves is rapidly progressing due to the noticeable
advancements in the sensitivity of gravitational-wave detectors that has
enabled the detection prospects of binary black hole mergers. Extreme mass
ratio inspiral (EMRI) is one of the most compelling and captivating binary
systems in this direction, with the detection possibility by the future
space-based gravitational wave detector. In this article, we consider an EMRI
system where the primary or the central object is a spherically symmetric
static braneworld black hole that carries a \textit{tidal charge} $Q$. We
estimate the effect of the tidal charge on total gravitational wave flux and
orbital phase due to a non-spinning secondary inspiralling the primary. We
further highlight the observational implications of the tidal charge in EMRI
waveforms. We show that LISA (Laser Interferometer Space Antenna) observations
can put a much stronger constraint on this parameter than black hole shadow and
ground-based gravitational wave observations, which can potentially probe the
existence of extra dimensions.
