A complex voltage E is applied to the ladder network of Figure 7.31. Show that the (complex)
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A complex voltage E is applied to the ladder network of Figure 7.31. Show that the (complex) mesh currents Ik satisfy the equations
Show that
satisfies (7.20) provided that cosh θ = 1 – 1/2 LCω2. Note that this equation yields two values for u, so that in general Ik may be written as
where A and B are independent of k. Using the special equations for I0 and In, obtain the values of A and B and prove that
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