A copper signal trace is 60 mm in length and is routed in a ceramic electronic...

 

Transcribed Image Text:

A copper signal trace is 60 mm in length and is routed in a ceramic electronic microprocessor package. The trace is completely embedded in the ceramic substrate as shown in the cross-sectional view below in a stripline configuration. The dielectric constant () of the ceramic material is 9. Find the following: (a) (4 points) the velocity of light in this medium given that the velocity of light in free space is 3x108 m/s (b) (2 points) the wavelength in the ceramic medium for a signal with a frequency of 20 MHz (c) (2 points) the electrical length of the 60 mm trace (in wavelengths) for a signal with a frequency of 20 MHz (d) (4 points) For (c), can this trace be represented using circuit theory... why or why not? (e) (2 points) the wavelength in the ceramic medium for a signal with a frequency of 200 GHz (f) (2 points) the electrical length of the 60 mm trace (in wavelengths) for a signal with a frequency of 200 GHz (9) (4 points) For (f), can this trace be represented using circuit theory... why or why not? Ceramic Material 960 Copper Signal Trace Cross-sectional View Ceramic Material 980 Copper Signal Trace 60 mm long Side View (along length of trace) A copper signal trace is 60 mm in length and is routed in a ceramic electronic microprocessor package. The trace is completely embedded in the ceramic substrate as shown in the cross-sectional view below in a stripline configuration. The dielectric constant () of the ceramic material is 9. Find the following: (a) (4 points) the velocity of light in this medium given that the velocity of light in free space is 3x108 m/s (b) (2 points) the wavelength in the ceramic medium for a signal with a frequency of 20 MHz (c) (2 points) the electrical length of the 60 mm trace (in wavelengths) for a signal with a frequency of 20 MHz (d) (4 points) For (c), can this trace be represented using circuit theory... why or why not? (e) (2 points) the wavelength in the ceramic medium for a signal with a frequency of 200 GHz (f) (2 points) the electrical length of the 60 mm trace (in wavelengths) for a signal with a frequency of 200 GHz (9) (4 points) For (f), can this trace be represented using circuit theory... why or why not? Ceramic Material 960 Copper Signal Trace Cross-sectional View Ceramic Material 980 Copper Signal Trace 60 mm long Side View (along length of trace)