HW_11 - ‫ﺻﻔﺤﻪ ١‬ ‫ﺣﺴﺎﺳﻴﺖ‬ ‫ﻣﺴﺎﺋﻞ ﻓﺼﻞ ﺩﻢ‬ ‫١‐ﺍﻟﻒ‐ ﺩﺭ ﻣﺪﺍﺭ ﺷﮑﻞ

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Unformatted text preview: ‫ﺻﻔﺤﻪ ١‬ ‫ﺣﺴﺎﺳﻴﺖ‬ ‫ﻣﺴﺎﺋﻞ ﻓﺼﻞ ﺩﻫﻢ‬ ‫١‐ﺍﻟﻒ‐ ﺩﺭ ﻣﺪﺍﺭ ﺷﮑﻞ ﺍﻟﻒ ﺭﻭﺑﺮﻭ ﻓﺮﮐﺎﻧﺲ ﺗﺸﺪﻳﺪ 0 ‪ ω‬ﻭﺿﺮﻳﺐ‬ ‫ﮐﻴﻔﻴﺖ ﺭﺍ ﺑﺮ ﺣﺴﺐ ‪ C‬ﻣﺤﺎﺳﺒﻪ ﮐﻨﻴﺪ. ﻭ ﺣﺴﺎﺳﻴﺖ 0 ‪ ω‬ﺭﺍ ﻧﺴﺒﺖ‬ ‫ﺑﻪ ‪ Q‬ﺩﺭ ﻣﻘﺪﺍﺭ ﻧﺎﻣﯽ ‪ C = 0.1F‬ﺑﺒﺎﺑﻴﺪ.‬ ‫ﺏ‐ ﻗﺴﻤﺖ ﺍﻟﻒ ﺭﺍ ﺑﺮﺍﻱ ﻣﺪﺍﺭ ﺷﮑﻞ ﺏ ﺭﻭﺑﺮﻭ ﺑﺮﺍﻱ ﻣﻘﺪﺍﺭ ﻧﺎﻣﯽ‬ ‫‪ C = 1F‬ﺗﮑﺮﺍﺭ ﻧﻤﺎﻳﻴﺪ.‬ ‫٢‐ﻣﻌﺎﺩﻟﻪ ﻣﺸﺨﺼﻪ ﺭﺍ ﺑﺮﺍﻱ ﻣﺘﻐﻴﺮ ‪ v‬ﺩﺭ ﺷﮑﻞ ﺏ ﻣﺴﺌﻠﻪ١ ﺑﻴﺎﺑﻴﺪ ﻭ‬ ‫ﺣﺴﺎﺳﻴﺖ ﻓﺮﮐﺎﻧﺲ ﻫﺎﻱ ﻃﺒﻴﻌﯽ ﺭﺍ ﻧﺴﺒﺖ ﺑﻪ ‪ C‬ﺩﺭ ﻣﻘﺪﺍﺭ ﻧﺎﻣﯽ‬ ‫‪ C = 1F‬ﻣﺸﺨﺺ ﻧﻤﺎﻳﻴﺪ.‬ ‫= ) ‪ H ( s‬ﺭﺍ ﺩﺭ ﻣﺪﺍﺭ ﺷﮑﻞ ﻣﻘﺎﺑﻞ‬ ‫)‪V ( s‬‬ ‫٣‐ﺍﻟﻒ – ﺗﺎﺑﻊ ﺷﺒﮑﻪ‬ ‫)‪I S ( s‬‬ ‫ﻣﺤﺎﺳﺒﻪ ﮐﻨﻴﺪ.‬ ‫ﺏ‐ﻣﻌﺎﺩﻟﻪ ﺍﻱ ﺗﺸﮑﻴﻞ ﺩﻫﻴﺪ ﮐﻪ ﺭﻳﺸﻪ ﻫﺎﻱ ﺍﻥ ﻗﻄﺐ ﻫﺎﻱ ﻃﺒﻴﻌﯽ‬ ‫ﺷﺒﮑﻪ ﺑﺎﻻ ﺑﺎﺷﺪ.ﺣﺴﺎﺳﻴﺖ ﻗﻄﺐ ﻫﺎﻱ ﻃﺒﻴﻌﯽ ﺷﺒﮑﻪ )‪ H ( s‬ﺭﺍ ﻧﺴﺒﺖ‬ ‫ﺑﻪ ‪ L‬ﺩﺭ ﻣﻘﺪﺍﺭ ﻧﺎﻣﯽ ﺁﻥ‪ L = ٢ ّ F‬ﻣﺤﺎﺳﺒﻪ ﻧﻤﺎﻳﻴﺪ.‬ ‫= ) ‪ H 2 ( s‬ﺭﺍ ﺩﺭ ﻣﺪﺍﺭ ﺷﮑﻞ‬ ‫) ‪V2 ( s‬‬ ‫)‪V ( s‬‬ ‫٤‐ﺗﻮﺍﺑﻊ ﺷﺒﮑﻪ‬ ‫1 = )‪H 1 (s‬‬ ‫) ‪VS ( s‬‬ ‫) ‪VS ( s‬‬ ‫ﻣﻘﺎﺑﻞ ﻣﺤﺎﺳﺒﻪ ﻧﻤﺎﻳﻴﺪ ﺣﺴﺎﺳﻴﺖ ﺗﻮﺍﺑﻊ ) ‪ H 1 ( jω‬ﻭ ) ‪ H 2 ( jω‬ﺭﺍ ﺩﺭ‬ ‫ﻓﺮﮐﺎﻧﺲ ﮐﺎﺭ ١ = ‪ ω‬ﺭﺍﺩﻳﺎﻥ ﺑﺮ ﺛﺎﻧﻴﻪ ﺩﺭ ﻣﻘﺪﺍﺭ ﻧﺎﻣﯽ‪ C = ١ F‬ﻣﺤﺎﺳﺒﻪ‬ ‫ﻧﻤﺎﻳﻴﺪ. ) ﻭ ﺍﺯ ﺁﻥ ﺣﺴﺎﺳﻴﺖ ﻫﺎﻱ ﺩﺍﻣﻨﻪ ﻭ ﺯﺍﻭﻳﻪ ﺗﻮﺍﺑﻊ ﺷﺒﮑﻪ ﺭﺍ ﻧﺘﻴﺠﻪ‬ ‫ﺑﮕﻴﺮﻳﺪ(‬ ‫) ‪V2 ( s‬‬ ‫٥‐ﺗﺎﺑﻊ ﺷﺒﮑﻪ‬ ‫)‪I S (s‬‬ ‫= ) ‪ H ( s‬ﺭﺍ ﺩﺭ ﻣﺪﺍﺭ ﺷﮑﻞ ﻣﻘﺎﺑﻞ ﺑﺮ ﺣﺴﺐ ‪C‬‬ ‫ﻣﺤﺎﺳﺒﻪ ﻧﻤﺎﻳﻴﺪ. ﺣﺴﺎﺳﻴﺖ ﺩﺍﻣﻨﻪ ﺗﺎﺑﻊ ﺷﺒﮑﻪ | ) ‪ | H ( jω‬ﻭ ﺯﺍﻭﻳﻪ‬ ‫) ‪ ∠H ( jω‬ﺭﺍ ﺩﺭ ﻓﺮﮐﺎﻧﺲ ١ = ‪ ω‬ﺭﺍﺩﻳﺎﻥ ﺑﺮ ﺛﺎﻧﻴﻪ ﻧﺴﺒﺖ ﺑﻪ ‪ C‬ﺩﺭ‬ ‫ﻣﻘﺪﺍﺭ ﻧﺎﻣﯽ ‪ C=١ F‬ﻣﺸﺨﺺ ﮐﻨﻴﺪ.‬ ‫= )‪ H ( s‬ﺭﺍ ﺩﺭ ﻣﺪﺍﺭ ﺷﮑﻞ ﻣﻘﺎﺑﻞ ﻣﺤﺎﺳﺒﻪ ﮐﻨﻴﺪ‬ ‫=‪A‬‬ ‫) ‪VO ( s‬‬ ‫٦‐ﺗﺎﺑﻊ ﺷﺒﮑﻪ‬ ‫) ‪VS ( s‬‬ ‫‪VO‬‬ ‫) ‪ A‬ﻣﻘﺪﺍﺭ ﺗﻘﻮﻳﺖ ﺩﺭ ﺗﻘﻮﻳﺖ ﮐﻨﻨﺪﻩ ﻣﻘﺎﺑﻞ‬ ‫2‪V‬‬ ‫ﺍﺳﺖ.(.ﺣﺴﺎﺳﻴﺖ | ) ‪ | H ( jω‬ﺭﺍ ﻧﺴﺒﺖ ﺑﻪ ‪ A‬ﺩﺭ ﻓﺮﮐﺎﻧﺲ ﮐﺎﺭ ١ = ‪ω‬‬ ‫ﻭ ﻣﻘﺪﺍﺭ ﻧﺎﻣﯽ‬ ‫ﺻﻔﺤﻪ ١‬ ‫ﺣﺴﺎﺳﻴﺖ‬ ‫ﻣﺴﺎﺋﻞ ﻓﺼﻞ ﺩﻫﻢ‬ ‫4 = ‪ A‬ﻫﻢ ﻣﺸﺨﺺ ﮐﻨﻴﺪ‬ ‫= ‪ Z in‬ﺭﺍ ﻣﺤﺎﺳﺒﻪ ﮐﻨﻴﺪ .‬ ‫)‪V (s‬‬ ‫٧‐ﺍﻟﻒ‐ﺗﺎﺑﻊ ﺷﺒﮑﻪ‬ ‫)‪I ( s‬‬ ‫ﺏ‐ ﺣﺴﺎﺳﻴﺖ ﻗﻄﺐ ﻫﺎ 0 ‪ ω‬ﺭﺍ ﻧﺴﺒﺖ ﺑﻪ ‪ α‬ﺭﺍ ﺩﺭ ﻣﻘﺪﺍﺭ ﻧﺎﻣﯽ‬ ‫٢ = ‪ α‬ﻭ ﻓﺮﮐﺎﻧﺲ ١ = ‪ ω‬ﻣﺸﺨﺺ ﮐﻨﻴﺪ‬ ‫= ) ‪ H ( s‬ﺭﺍ ﻣﺤﺎﺳﺒﻪ ﮐﻨﻴﺪﻭ ﻣﻨﺤﻨﯽ ﺗﻐﻴﻴﺮﺍﺕ‬ ‫= ‪ A‬ﻧﺴﺒﺖ ﺑﻪ ‪ A‬ﺑﺮ‬ ‫) ‪VO ( s‬‬ ‫٨‐ﺗﺎﻊ ﺷﺒﮑﻪ‬ ‫) ‪VS ( s‬‬ ‫3‬ ‫ﺣﺴﺎﺳﻴﺖ ﺩﺍﻣﻨﻪ ) ‪ H ( jω‬ﺭﺍ ﺩﺭ ﻣﻘﺪﺍﺭ ﻧﺎﻣﯽ‬ ‫2‬ ‫ﺣﺴﺐ ‪ ω‬ﺭﺳﻢ ﮐﻨﻴﺪ.) ﺑﻪ ﮐﻤﮏ ﮐﺎﻣﭙﻴﻮﺗﺮ، ‪( SPICE‬‬ ‫) ‪VO ( s‬‬ ‫٩- اﻟﻒ( ﺗﺎﺑﻊ ﺷﺒﮑﻪ‬ ‫)‪I S ( s‬‬ ‫= )‪ H ( s‬ﺭﺍ ﻣﺤﺎﺳﺒﻪ ﮐﻨﻴﺪ.‬ ‫ﺏ( ﺣﺴﺎﺳﻴﺖ ﻗﻄﺒﻬﺎﯼ ﺗﺎﺑﻊ ﺷﺒﮑﻪ ) ‪ H ( s‬ﺭﺍ ﻧﺴﺒﺖ ﺑﻪ ‪ L‬ﺩﺭ ﻣﻘﺪﺍﺭ‬ ‫ﻧﺎﻣﯽ ‪ L=١ H‬ﻣﺸﺨﺺ ﮐﻨﻴﺪ.‬ ‫ﺻﻔﺤﻪ ١‬ ‫ﺣﺴﺎﺳﻴﺖ‬ ‫ﻣﺴﺎﺋﻞ ﻓﺼﻞ ﺩﻫﻢ‬ ...
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This note was uploaded on 02/06/2011 for the course ECE 423 taught by Professor Dolatabadi during the Spring '11 term at Amirkabir University of Technology.

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