HW2_problem

# HW2_problem - second ﬁlters: V 2 ≈ E r ‡ 1 + 1 ( ωR...

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Homework 2. phys309, Spring 2010 distributed: Jan, 27 2010 due: Mon, Feb. 8 2010 Combination of the low-pass and high-pass ﬁlters C R R C 1 1 2 2 E Figure 1: In this problem you will study the circuit shown in the ﬁgure. As discussed in the lecture 2, this is a combination of the high-pass and low-pass ﬁlters. The problem is to express the voltage V 2 ( ω ) across the capacitor C 2 as a function of the e.m.f. E , the resistances R 1 , 2 and the capacitances C 1 , 2 . In the lecture notes we discussed an approximate solution, a product of the transmissions of the ﬁrst and
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Unformatted text preview: second ﬁlters: V 2 ≈ E r ‡ 1 + 1 ( ωR 1 C 1 ) 2 · (1 + ( ωR 2 C 2 ) 2 ) Here you have to ﬁnd the exact formula. After you do this, plot the approximate and the exact expressions for V 2 ( ω ) /E for the following parameter sets (a) R 1 = 10, C 1 = 10, R 2 = 1, C 2 = 1 and (b) R 1 = 10, C 1 = 10, R 2 = 0 . 1, C 2 = 10 Note that the products R 1 C 1 and R 2 C 2 that determine the characteristic frequencies of the ﬁlters are the same in both cases. 1...
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## This note was uploaded on 12/13/2011 for the course PHYS 309 taught by Professor Staff during the Spring '10 term at South Carolina.

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