Assignment1.pdf

‫�ﺴﻢ ﷲ اﻟﺮﲪﻦ اﻟﺮﺣﲓ‬
‫ﺳﻮﺍﻻﺕ ﻳﺸﻨﻬﺎﺩﻱ ﺗﻤﺮﻳﻦ ﺍﻭﻝ‬
‫‪ ( 1‬ﺩﺭﻣﺪﺍﺭ ﺯﻳﺮ ﺩﻳﻮﺩﻫﺎ ﺍﻳﺪﻩﺁﻝ ﻫﺴﺘﻨﺪ‪ .‬ﻣﻄﻠﻮﺏ ﺍﺳﺖ ﻭﻟﺘﺎژ ﺧﺮﻭﺟﻲ ‪ vo‬ﺑﺮﺍﻱ ﺣﺎﻟﺖﻫﺎﻱ ﺯﻳﺮ‪:‬‬
‫ﺍﻟﻒ (‬
‫‪V1 =V2 =5V‬‬
‫ﺏ(‬
‫‪V1 = 5V , V2 = 0V‬‬
‫ﺝ(‬
‫‪V1 = V2 = 0V‬‬
‫‪ ( 2‬ﺩﺭ ﻣﺪﺍﺭ ﺯﻳﺮ ﺩﻳﻮﺩ ﻫﺎ ﺭﺍ ﺍﻳﺪﻩﺁﻝ ﻓﺮﺽ ﻛﻨﻴﺪ‪.‬‬
‫ﺍﻟﻒ ( ﻣﻘﺎﻭﻣﺖ ‪ R‬ﺭﺍ ﻃﻮﺭﻱ ﺗﻌﻴﻴﻦ ﻛﻨﺒﺪ ﻛﻪ ‪ VA‬ﺑﺮﺍﺑﺮ ﺑﺎ ‪ 2‬ﻭﻟﺖ ﺷﻮﺩ‪ .‬ﺩﺭ ﺍﻳﻦ‬
‫ﺻﻮﺭﺕ ‪ I1‬ﻭ ‪ I2‬ﭼﻘﺪﺭ ﺧﻮﺍﻫﺪ ﺑﻮﺩ ؟‬
‫ﺏ( ﺑﻪ ﺍﺯﺍﻱ ‪ R =2K‬ﻣﻘﺎﺩﻳﺮ ‪ I1‬ﻭ ‪ I2‬ﻭ ‪ VA‬ﺭﺍ ﺗﻌﻴﻴﻦ ﻛﻨﻴﺪ‪.‬‬
‫‪ (3‬ﺩﺭ ﻣﺪﺍﺭ ﺯﻳﺮ ﺑﺎ ﻓﺮﺽ ﺍﻳﺪﻩﺁﻝ ﺑﻮﺩﻥ ﺩﻳﻮﺩﻫﺎ ﻭﻟﺘﺎژ ‪VO‬ﻭ ﺟﺮﻳﺎﻥ ﻫﺎﻱ ‪ I1‬ﻭ ‪ I5‬ﺭﺍ ﺗﻌﻴﻴﻦ ﻛﻨﻴﺪ‪.‬‬
‫‪ (4‬ﺩﺭ ﺷﻜﻞ ﺯﻳﺮ ﺩﻳﻮﺩﻫﺎ ﻫﻤﻪ ﺍﻳﺪﻩﺁﻝ ﻫﺴﺘﻨﺪ‪ .‬ﻣﺸﺨﺼﻪﻱ ﺍﻧﺘﻘﺎﻟﻲ ﻣﺪﺍﺭ ﺭﺍ ﺑﺮﺍﻱ‬
‫‪ -20 v < V I < 20 v‬ﺭﺳﻢ ﻧﻤﻮﺩﻩ ﻭ ﺩﺭ ﻫﺮ ﻧﺎﺣﻴﻪ ﺍﺯ ﻣﺸﺨﺼﻪ‬
‫ﻭﺿﻌﻴﺖ ﻫﺮ ﻳﻚ ﺍﺯ ﺩﻳﻮﺩ ﻫﺎ ﺭﺍ ﺗﻌﻴﻴﻦ ﻛﻨﻴﺪ‪.‬‬
‫‪ (5‬ﺩﺭ ﻣﺪﺍﺭ ﺷﻜﻞ ﺯﻳﺮ ﺩﻳﻮﺩﻫﺎ ﺍﻳﺪﻩﺁﻝ ﺍﻧﺪ‪ .‬ﻣﺸﺨﺼﻪﻱ ﺍﻧﺘﻘﺎﻟﻲ ﺭﺍ ﻣﺤﺎﺳﺒﻪ ﻭ ﺭﺳﻢ ﻛﻨﻴﺪ‪.‬‬
‫‪ (6‬ﺩﺭ ﻣﺪﺍﺭ ﺷﻜﻞ ﺯﻳﺮ ﺩﻳﻮﺩﻫﺎ ﺍﻳﺪﻩﺁﻝ ﺍﻧﺪ‪ .‬ﺑﺎ ﺗﻮﺟﻪ ﺑﻪ ﺷﻜﻞ ﻣﻮﺝﻫﺎﻱ ﻭﺭﻭﺩﻱ ﺷﻜﻞ ﻣﻮﺝ ﺧﺮﻭﺟﻲ ﺭﺍ ﺭﺳﻢ ﻛﻨﻴﺪ‪.‬‬
‫‪ (7‬ﺩﺭ ﻣﺪﺍﺭ ﺯﻳﺮ ﺑﺎ ﻓﺮﺽ ﺍﻳﺪﻩﺁﻝ ﺑﻮﺩﻥ ﺩﻳﻮﺩﻫﺎ ﻣﺸﺨﺼﻪ ﺍﻧﺘﻘﺎﻟﻲ ﺭﺍ ﺑﺪﺳﺖ ﺁﻭﺭﺩﻩ ﻭ ﺭﺳﻢ ﻧﻤﺎﻳﻴﺪ‪ .‬ﻭﺭﻭﺩﻱ ‪ Vi‬ﺍﺯ ‪ 0‬ﺗﺎ ‪ 50‬ﻭﻟﺖ ﺗﻐﻴﻴﺮ ﻣﻲﻛﻨﺪ‪.‬‬
‫‪ (8‬ﻋﺒﺎﺭﺕ ﺑﻮﻟﻲ )‪ A+(B.C‬ﺭﺍ ﺗﻨﻬﺎ ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﺩﻳﻮﺩ ﻭ ﻣﻘﺎﻭﻣﺖ ﭘﻴﺎﺩﻩﺳﺎﺯﻱ ﻛﻨﻴﺪ‪ .‬ﻣﺪﺍﺭ ﺷﻤﺎ ﻣﻲﺑﺎﻳﺴﺖ ﺑﺮﺍﻱ ﺣﺎﻟﺘﻲ ﻛﻪ ﻭﺭﻭﺩﻱﻫﺎ ﺻﻔﺮ ﻫﺴﺘﻨﺪ‬
‫ﺩﻗﻴﻘﺎ ﻣﻘﺪﺍﺭ ﺻﻔﺮ ﺭﺍ ﺗﻮﻟﻴﺪ ﻛﻨﺪ‪.‬‬
‫‪ (9‬ﺩﺭ ﻣﺪﺍﺭ ﺷﻜﻞ ﺯﻳﺮ ﻭﻟﺘﺎژ ﺍﻭﻟﻴﻪ ﺧﺎﺯﻥ ﻫﺎ ﺻﻔﺮ ﺍﺳﺖ ﻭ ﻭﺭﻭﺩﻱ ﭘﻠﻪﻱ ﻭﺍﺣﺪ )‪ u(t‬ﺍﺳﺖ‪ .‬ﻛﻠﻴﺪ ‪ S‬ﺩﺭ ﻟﺤﻈﻪﻱ ‪ t = 2‬ﺑﺴﺘﻪ ﻣﻲﺷﻮﺩ‪ .‬ﻭﻟﺘﺎژ ﺩﻭ ﺳﺮ‬
‫ﻣﻘﺎﻭﻣﺖ ‪ 3‬ﺍﻫﻤﻲ ﺭﺍ ﺑﺮﺍﻱ ﺗﻤﺎﻡ ‪ t > 0‬ﺣﺴﺎﺏ ﻛﻨﻴﺪ‪.‬‬
‫‪ (10‬ﺩﺭ ﻣﺪﺍﺭ ﺷﻜﻞ ﺯﻳﺮ ﭘﺎﺳﺦ ﻣﺮﺑﻮﻁ ﺑﻪ ‪ i‬ﺭﺍ ﺩﺭ ‪ t > 0‬ﺑﻴﺎﺑﻴﺪ‪.‬‬
‫‪(11‬ﺩﺭ ﻣﺪﺍﺭ ﺷﻜﻞ ﺯﻳﺮ ﭘﺎﺳﺦﻫﺎﻱ ﻣﺮﺑﻮﻁ ﺑﻪ ﻭﻟﺘﺎژﻫﺎﻱ ‪ vc‬ﺭﺍ ﺩﺭ ‪ t > 0‬ﺑﻴﺎﺑﻴﺪ‪ .‬ﺩﺭ ﺍﻳﻦ ﻣﺪﺍﺭ ﻛﻠﻴﺪ ﺳﻤﺖ ﺭﺍﺳﺖ ﺩﺭ ‪ t<0‬ﺑﺮﺍﻱ ﻣﺪﺕ ﻃﻮﻻﻧﻲ ﺑﺎﺯ ﺑﻮﺩﻩ‬
‫ﻭ ﺩﺭ ‪ t=0‬ﺑﺴﺘﻪ ﻣﻲﺷﻮﺩ‪ .‬ﻫﻤﭽﻨﻴﻦ ﻛﻠﻴﺪ ﺗﺤﺘﺎﻧﻲ ﺩﺭ ‪ t < 0.35‬ﺑﺮﺍﻱ ﻣﺪﺕ ﻃﻮﻻﻧﻲ ﺑﺎﺯ ﺑﻮﺩﻩ ﻭ ﺩﺭ ‪ t=0.35‬ﺑﺴﺘﻪ ﻣﻲﺷﻮﺩ‪.‬‬
‫‪ (12‬ﺩﺭ ﻣﺪﺍﺭ ﺷﻜﻞ ﺯﻳﺮ ﭘﺎﺳﺦ ﻣﺮﺑﻮﻁ ﺑﻪ ﻭﻟﺘﺎﺯ ‪ VC‬ﺭﺍ ﺩﺭ ‪ t > 0‬ﺑﻴﺎﺑﻴﺪ‪ .‬ﺍﻳﻦ ﻣﺪﺍﺭ ﺩﺭ ‪ t=0‬ﺍﺯ ﻣﻨﺒﻊ ﻣﺴﺘﻘﻞ ﺟﺪﺍ ﮔﺸﺘﻪ ﺍﺳﺖ ﻭ ‪. Vc(0) = 6 v‬‬
‫‪ (13‬ﺷﻜﻞ ﻣﻮﺝ ﺧﺮﻭﺟﻲ ﺭﺍ ﺑﺎ ﻓﺮﺽ ﺍﻳﺪﻩﺁﻝ ﺑﻮﺩﻥ ﺩﻳﻮﺩ ﺑﻜﺸﻴﺪ‪).‬ﻭﻟﺘﺎﺯ ﻭﺭﻭﺩﻱ ﻗﺒﻞ ﺍﺯ ﻟﺤﻈﻪﻱ ﺻﻔﺮ ﺑﺮﺍﺑﺮ ﺑﺎ ﺻﻔﺮ ﺍﺳﺖ‪ (.‬ﻣﻮﺝ ﻭﺭﻭﺩﻱ ﺭﺍ ﺩﺭ ﻫﺮ ﺩﻭ‬
‫ﺣﺎﻟﺖ ﻳﻚ ﻣﻮﺝ ﻣﺮﺑﻌﻲ ﺑﺎ ﺩﺍﻣﻨﻪﻱ ‪ 10‬ﻭﻟﺖ ﻭ ﭘﺮﻳﻮﺩ ‪ 1‬ﻣﻴﻠﻲ ﺛﺎﻧﻴﻪ ﺩﺭ ﻧﻈﺮ ﺑﮕﻴﺮﻳﺪ‪.‬‬
‫ﺍﻟﻒ (‬
‫ﺏ(‬