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# obtained for it:1 e = r 4 3 + tanh Zc = d r 2h 8 0 K (k ) r 2 K (k ) where the modulus k of the elliptic integral is given by k = 0.515 + 1 tanh 2 d...

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obtained for it: 1 ± ef = ± r 4 ± 3+tanh ² d 2 h ± r 8 ³´ Z c = ζ 0 ± r 2 K ( k 0 ) K ( k ) where the modulus k of the elliptic integral is given by k =0 . 515 + 1 2 tanh ² d h 0 . 75 ³ There are thus two open-circuited stubs through which the CPW and microstrip ground planes are connected, and the resulting equivalent circuit is shown below. microstrip antipodal slotline stubs CPW l Z c = 75 Ω Z c = 75 Ω l It is assumed that all parasitic discontinuity eFects at junctions can be neglected. (a) If the microstrip line has a characteristic impedance of Z c = 100 Ω, ±nd the width w of the strip conductor. (b) If the strip conductor of the CPW is required to have the same width as that of the microstrip, ±nd the width of the CPW gap s required for the characteristic impedance of the CPW to be Z c = 100 Ω as well. (c) ²ind the shortest lengths l of the antipodal slotline stubs required to match the main microstrip line to the CPW (i. e., for there to be no reﬂection on the CPW or microstrip) at f =2GHz . 1 V. I. Gvozdev, “Use of the unbalanced slotted line in SHF microcircuits,” Radio Eng. Electron. Phys. , vol. 27, no. 11, pp. 42-47, 1982.

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