The equivalent quantity of mass in electricity is self- inductance.
Self-inductance of an inductor is referred to as the "inertia of electricity" .
Kinetic energy in Mechanics, K=21mv2
where m= mass of an object. v= velocity of the object.
The magnetic energy stored in an inductor, K′=21LI2
where L= self-inductance of the inductor and, I= current through the inductor.
So, from the above equation, we can conclude that self-inductance is equivalent to mass in electricity.