  In order to better understand the EMC effect, we propose a clean and precise
measurement of the flavor dependence of the EMC effect using parity-violating
deep inelastic scattering on a $^{48}$Ca target. This measurement will provide
an extremely sensitive test for flavor dependence in the modification of
nuclear parton distribution functions (PDFs) for neutron-rich nuclei. A
measurement of the flavor dependence will provide new and vital information and
help to explain nucleon modification at the quark level. In addition to helping
understand the origin of the EMC effect, a flavor-dependent nuclear pdf
modification could significantly impact a range of processes, including
neutrino-nucleus scattering, nuclear Drell-Yan processes, and e-A observables
at the Electron-Ion Collider.
  The parity-violating asymmetry APV from $^{48}$Ca using an 11 GeV beam at
$80\ \mu A$ will be measured using the SoLID detector in its PVDIS
configuration. In 68 days of data taking, we will reach $0.7-1.3\%$ statistical
precision for $0.2<x<0.7$ with $0.6-0.7\% $ systematic uncertainties. The goal
is to make the first direct measurement of the flavor dependence of the EMC
effect. The precision of the measurement will allow for quantification of the
flavor-dependent effects, greatly improving our ability to differentiate
between models of the EMC effect and constraining the u- and d-quark
contributions in neutron rich nuclei.
