An alternating current generator has an internal resistance `R_(g)` and an internal reactance `X_(g)`. It is used to supply power to a passive load consisting of a resistance `R_(g)` and a reactance `X_(L)`. For maximum power to be delivered from the generator to the load, the value of `X_(L)` is equal to

Options

A. zero
B. `X_(g)`
C. `-X_(g)`
D. `R_(g)`

Answer

C

Explanation

For delivering maximum power from the generator to the load, total internal reactance must be equal to conjugate of total external reactance.
Hence, `X_(int)=.^(star)X_(ext)`
`rArr X_(g) = (X_(L))^(star)=-X_(L)`
`rArr X_(L) = -X_(g)`