- #1

goodphy

- 216

- 8

Please looks at the attached image first.

The left image is LCC impedance matching network (one of T-type impedance matching networks) and the right is the corresponding equivalent circuit when

*C*and

_{T}*C*are adjusted such that an equivalent impedance of the sub-circuit surrounded by dashed-line becomes

_{L}*R*.

_{S}You don't need to take care of what

*Z*really is, that was not important for my question I would like to ask you here. In the left circuit, there is only one resistance,

_{L}*R*, located in

_{L}*Z*so that's the only point that a real power (active power) is consumed. But in the right,

_{L}*Z*itself is a purely resistive. In order to make sense in terms of power consumption, a real power at

_{eq}*Z*,

_{eq}*I*is same to

^{2}Z_{eq}= I^{2}R_{S}*I*, I think. But..

_{1}^{2}R_{L}*R*can be a lower than

_{L}*R*and

_{S}*I*is lower than

_{1}*I*. As a result, two consumed powers are not equal.

How can I solve this apparent contradiction? I think reactive powers for reactive components have some role to match these two power. For example, reactive components receive power over a quarter cycle and release it to the

*R*for another quarter cycle, not to the source. But I don't know how such an energy flow occurs.

_{L}Could you please help to clarify this?