Capacitive reactance
Faraday's Law deals with induced EMF in a conductor (inductive elements) when exposed to a changing magnetic field. When the term back EMF is used, it implies a conductor rotating in a magnetic field, such as in a motor.  

Capacitive elements are not part of Faraday's Law. 

The statement by the lecturer about back EMF does imply a motor. In single phase AC motors, a capacitor is  used in conjunction with a start winding to generate a torque in the motor in a specific direction so the motor starts rotating in the desired direction. 

Maybe the lecturer wasn't clear on how the capacitor works in a motor, or its function in the motor.