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# hw12 - ME365 Homework Set 12 Out December 1 2011 Due...

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ME365 Homework Set 12 Out: December 1, 2011 Due: December 8, 2011 Problem No. 1 Given: Consider the linear variable differential transformer (LVDT) circuit, (a) on the next page. The iron core moves up and down between the primary and secondary coils. The voltage induced in each of the secondary coils is given by ݁ ௦,ଵ ൌ ܯ ݀݅ ݀ݐ ݁ ௦,ଶ ൌ ܯ ݀݅ ݀ݐ where M 1 and M 2 are the mutual inductances of the secondary coils. As the core moves up, M 1 increases and M 2 decreases. As the core moves down, M 1 decreases and M 2 increases. Find: (a) Determine the net secondary voltage, ݁ ൌ ݁ ௦,ଵ െ ݁ ௦,ଶ . Assuming that the voltage measurement at ݁ has infinite impedance, determine the frequency response of the system from input, ݁ ௘௫ , to output, ݁ for a fixed core position. (b) Assume that the voltage measurement at ݁ has resistance, ܴ , determine the frequency response of the system for a fixed core position.

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hw12 - ME365 Homework Set 12 Out December 1 2011 Due...

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