hw10soln

hw10soln - 14.2 14.4a jwL + Vi R Vo + Vi - jwL + V0 - R 1...

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14.2 11 oi o i o R VV Rj w L V R VR j w L jwL R j w w = + = + == ++ R + V o - V i 14.4a 1 jwC Use a voltage divider to get the transfer function: R + V 0 - + V i - jwL jwL 2 2 1 1 1 1 () o i R jwC w L jwC R V R jwRC R j w L w L R C jwL jwRC R Rw L R C j w L = + + +− + + = −+ Use a voltage divider to get the transfer function: 1 1 1 1 R jwC R jwC R jwC R jwRC ⎛⎞ ⎜⎟ ⎝⎠ = + = + Impedance of branches in parallel:
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R 14.4b 1 jwC + V 0 - + V i - jwL 2 2 2 2 1 1 (1 ) oi o i Rj w L VV w L jwC V jwRC w LC Vj w R C w L C wLC jwRC + = ++ = −+ = Use a voltage divider to get the transfer function: R 1 jwC + V 0 - + V i - jwL 14.5a 2 2 1 1 1 1 1 ) o i jwC w L jwC V w R C w L C = = = Use a voltage divider to get the transfer function:
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14.5b R 1 jwC + V 0 - + V i - jwL 2 2 2 2
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hw10soln - 14.2 14.4a jwL + Vi R Vo + Vi - jwL + V0 - R 1...

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