Question

I cannot get this right, I have tried 4 different ways and none of them are making sense. Can you write out step by step? I believe epsilon_r is 3.66

Question 6 1 pts Refer to the Table below for Questions 6 and 7. This table is taken from the data sheet for a popular series of microwave printed circuit board materials. The questions below will ask about the RO4350B material and require values taken from the highlighted portion of the table. ROGERS CORPORATION Data Sheet Property Direction Units Condition Test Method Typical Value R04003C RO43508 Dielectric Constant, Process 3.38 +0.05 3.48 +0.05 10 GHz/23°C IPC-TM-550 2.5.5.5 Clamped Stripline Dielectric Constant. Design 3.55 3.66 8 to 40 GHz 0.0027 0.0021 Dissipation Factor tan, 0.0037 0.0031 INNN 10 GH/230 2.5 GH/23°C Thermal Coefficient of -50 pomºc -50°C to 150°C Differential Phase Length Method IPC-TM-650 2.5.5.5 IPC-TM-650 2.5.5.5 IPC-TM-550 2.5.17.1 IPC-TM-550 2.5.17.1 IPC-TM-550 Volume Resistivity 1.7 x 10 1.2 X10 MO-om COND A Surface Resistivity 4.2 X 10° 5.7 x 10 MO CONDA Electrical Strength 0.5mm (0.020 Tensile Modulus ASTM D638 (780) 26.889 (3900) 141 (20.4) 275 (40) (780) 11.473 (1654) 175 (25.4) 255 (37) KV/mm (V/mil) MP Opor) MP kepal) MPS (kepal) Tensile Strength RT ASTM D638 Flexural Strength IPC-TM-550 2.4.4 Dimensional Stability <0.3 0.5 after etch -E2150°C IPC-TM-650 2.4.39A (mils/inch) Coefficient of Thermal Expansion Pρπος -55 to 288°C IPC-TM-550 2.4.41 >280 >280 590 IPC-TM-650 2.4.24 ASTM D3850 ASTM C518 425 0.71 DSC C TGA W/m/OK Thermal Conductivity 0.69 Moisture Absorption 0.06 0.06 ASTM D570 80°C 48 hrs immersion 0.060" sample Temperature 50°C 23°C after solder float 1 . EDC Foil Density 1.79 govom! 1.05 N/mm (pl) 186 0.88 15.03 V-O ASTM D792 IPC-TM-650 2.4.8 Copper Peel Strength Flammability Lead-Free Process Compatible (6.0) NA UL 94 What is the phase constant (B) for a plane wave propagating in the medium at 9.5 GHz? Use the value of dielectric constant for design listed in the second row of the table in your calculation. Type your answer in radians per meter to one place after the decimal. 380.6

My try at the answer

Answer 1

* from the table, x= 3:48 +0.05; (process) {= 366 (Desing Dissipation factor (tan ) (tan S) = 0.00 37 (Process - 0.0031 (design we know > ß-27 - 21 - 2Txf 2X9.5x109 c 596.9 3x8 f = 9.5GHz = 9.5x19 H3) ::ß - 198.96 199 B = 199 rad/sec => Phase Conftant

Given -f -2.5x100 HZ L = It setans = T1x2.50 1366 (0.0031) 3x108 26.1753.66 (0.0031) = 26:17 (1.91) (0.0031) -0.1549 .: LE 0.155 Neper met metor