  We perform a comparative analysis of constraints on sterile neutrinos from
the Planck experiment and from current and future neutrino oscillation
experiments (MINOS, IceCube, SBN). For the first time, we express the Planck
constraints on $N_{\rm eff}$ and $m_{\rm eff}^{\rm sterile}$ from the Cosmic
Microwave Background in the parameter space used by oscillation experiments
using both mass-squared differences and mixing angles. In a model with a single
sterile neutrino species and using standard assumptions, we find that the
Planck data and the oscillation experiments measuring muon-neutrino
disappearance have similar sensitivity.
