HW7%20solutions - MAE 3780 MECHATRONICS FALL 2008 H O M E...

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FALL 2008 1 HOMEWORK 7 SOULUTIONS 1. We see immediately that V 15 = = DD GS V V Ohm’s Law written for the drain resistor gives D DS DD D R V V i = Now, assume that the MOSFET is operating in the ohmic region. Then, we have the following I- V characteristic: () [ ] 2 2 DS DS T GS D V V V V K i = Combining these latter two equations gives () [] 2 2 DS DS T GS D DS DD V V V V K R V V = Solving for V DS yields V 09 . 28 = DS V or V 107 . 0 = DS V To see if either answer corresponds to a physically realizable condition, we check the conditions for the ohmic region. The condition T GS V V > is satisfied by the first equation above. We also have T DS GS GD V V V V < = = = V 09 . 13 V 09 . 28 V 15 , which is a contradiction, and T DS GS GD V V V V > = = = V 89 . 14 V 107 . 0 V 15 , which is consistent with the assumption. Therefore, V 107 . 0 = DS V . Hence, we have
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This note was uploaded on 10/02/2010 for the course MAE 3780 taught by Professor Wickenhieser during the Fall '08 term at Cornell University (Engineering School).

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HW7%20solutions - MAE 3780 MECHATRONICS FALL 2008 H O M E...

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