In Figure 2, we have found the angle between the two lines to be 45.5 degrees. Determining the Tx Line Length to Reach the Re=1 circle.
Then find the angle between the two lines, as shown in Figure 2.įigure 2. To figure out the rotation needed, draw a line from the center of the Smith Chart through zL, and thenĭraw another line from the center of the Smith Chart to the location where the constant SWR circle intersects Until it intersects the Re=1 circle, then we can exactly match any impedance that does not have a reflectionĬoefficient magnitude equal to 1 (that is, we can match anything on the interior of the Smith Chart). Now, if we use a transmission line section to rotate the impedance on the Smith Chart Recall that if an impedance is of the form z1 = 1 + iX, then we can exactly match it using a series Impedance zL on the Smith Chart along with its constant VSWR circle. To any location in the black circular ring of Figure 1:įigure 1. That is, given the load impedance zL, a transmission line section can relocate the impedance That a transmission line section will enable the load impedance to move in a circle about the center of Suppose we use a transmission line section to move the impedance. Let's look at example 2 from the previous page again. We'll show how to use transmission line sections and a series component to exactly match any load impedance. This method won't work unless the real part of the load impedance is 1 (that is, Re=1). How to use series inductors and capacitors to cancel out the reactance of a load. The Smith Chart - Impedance Matching with Tx Lines, Series Inductors and Capacitors Smith Chart Tutorial - Impedance Matching with Tx Lines, Series L and C Previous: Series L and C
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