a) F (False)
The voltage Ea in the equivalent circuit of a synchronous generator represents the electromotive force (EMF) or the internal voltage generated by the rotor. It is not specifically related to the induced voltage in the stator windings due to the flow of currents.
b) F (False)
The Back Electromotive Force (BEMF) of a synchronous generator does not vary linearly with the rotor speed. The BEMF is influenced by various factors, including the rotor speed, field excitation, and load conditions. The relationship between the BEMF and the rotor speed is nonlinear.
c) T (True)
The BEMF of a synchronous generator does vary linearly with the field flux. Increasing the field flux will result in a proportional increase in the BEMF, assuming other parameters remain constant.
d) T (True)
When the stator terminals of a synchronous generator are open, the voltage measured at the terminals is indeed the BEMF. Since there is no external load connected, the measured voltage represents the internal voltage generated by the rotor and is commonly referred to as the BEMF.