{"id":1447,"date":"2016-03-28T01:20:17","date_gmt":"2016-03-28T08:20:17","guid":{"rendered":"http:\/\/sites.evergreen.edu\/mnm1516\/?page_id=1447"},"modified":"2016-04-23T20:54:12","modified_gmt":"2016-04-24T03:54:12","slug":"week-23","status":"publish","type":"page","link":"https:\/\/sites.evergreen.edu\/mnm1516\/week-23\/","title":{"rendered":"Week 23"},"content":{"rendered":"<p><strong>Week 23 Physics, Circuits:<\/strong><\/p>\n<ul>\n<li>Physics reading: Ch 35.\n<ul>\n<li>Focus on 35.1-35.3 (but definitely read the rest, especially 35.5). The main point of 35.4 is that there are things called inductors that have reactance Z<sub>L<\/sub> = i\u03c9L (Knight\u2019s \u201cX<sub>L<\/sub>\u201d is Horowitz &amp; Hill\u2019s \u201cZ<sub>L<\/sub>\u201d \u2013 they use different letters for reactance). You can think of inductors as a sort of \u201cinverse capacitor\u201d in terms of their circuit behavior (though not why they work).<\/li>\n<li>Note that Knight doesn\u2019t use imaginary numbers\u2026 hopefully you will start to see why they are useful. Otherwise, how can you get results 35.24 and 35.30? (definitely know equation 35.30 \u2013 that shows up a lot in circuits).<\/li>\n<li>Due online Friday, 11:59 pm:\n<ul>\n<li>Ch 31, problems 39, 43, 73, 74<\/li>\n<li>Ch 35, problems 7, 8, 13, 14, 16, 19, 28, 42, 43\n<ul>\n<li>Notes:\n<ul>\n<li>You may find it easier to do all of these problems using the Horowitz approach (using complex impedances). I would!<\/li>\n<li>13, 14: \u201ccrossover frequency\u201d is the same as f<sub>3db<\/sub><\/li>\n<li>42: watch out; Knight is asking for the delta-V (voltage difference) across the \u201ctop\u201d resistor\u2026 the V<sub>out<\/sub> you are used to would be \u0394V across the bottom two.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>Circuits Reading:\n<ul>\n<li>AOE 2<sup>nd<\/sup> ed, pp. 20-42.<\/li>\n<li>Horowitz and Hayes, Lab Manual, pp. 32 \u2013 50.<\/li>\n<\/ul>\n<\/li>\n<li>Due Wednesday, 5pm, box outside my office: AOE Ch 1: 1.13, 1.14 (read the section immediately before the question :), 1.15, 1.16, 1.17, 1.21, 1.22, 1.24\n<ul>\n<li>Notes:\n<ul>\n<li>1.14: You need to make the assumption that the V<sub>in<\/sub> = 0 until you connect it at t = 0, so at t = 0 V<sub>out<\/sub> (V(t) in Fig 1.34) = 0 too. Then You connect V<sub>in<\/sub>(t) , which may vary in time\u2026 what is V<sub>out<\/sub>(t)? Hint: consider the Thevinin equivalent looking into the two resistors, then compare to the \u2018Time Constant\u2019 example on p. 34.<\/li>\n<li>1.21: They are looking for the <em>magnitude<\/em> of the response here, like they found for the high-pass filter on pp. 35-6. Show this by following that example, adapting it to the low-pass filter geometry (complex voltage divider in Fig 1.58), using the complex impedance for a capacitor.<\/li>\n<li>1.22 (show by calculating the phase shift (in degrees \u2013 you\u2019ll have to convert from radians) at 0.1 f<sub>3DB<\/sub> (for a high-pass filter) and 10 f<sub>3DB<\/sub> (for a low-pass filter).<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Calculus<\/strong><\/p>\n<ul>\n<li>Reading: 14.1 &#8211; 14.3<\/li>\n<li>Problems:\n<ul>\n<li>Monday Spring Drills 3, due 10 am Mon. April 18 via WileyPlus:\n<ul>\n<li>14.1: 6, 12, 24, 27<\/li>\n<li>14.2: 2, 3, 5, 14, 16, 26, 34, 38<\/li>\n<li>14.3: 1, 2,4, 6, 8, 15, 16, 20<\/li>\n<li><strong><a href=\"http:\/\/sites.evergreen.edu\/mnm1516\/wp-content\/uploads\/sites\/76\/_mediavault\/2016\/04\/CalcSpringDrills03.pdf\" target=\"_blank\">Solutions<\/a><\/strong><\/li>\n<\/ul>\n<\/li>\n<li>Wednesday Spring Problem Set #3, due noon Wed. April 20 outside Lab 2 3255:\n<ul>\n<li>14.1: 8, 18<\/li>\n<li>14.2: 40, 44, 48, 49<\/li>\n<li>14.3: 22, 26, 31, 35<\/li>\n<li><strong><a href=\"http:\/\/sites.evergreen.edu\/mnm1516\/wp-content\/uploads\/sites\/76\/_mediavault\/2016\/04\/CalcSpringPS03.pdf\" target=\"_blank\">Solutions<\/a><\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li><strong><a href=\"http:\/\/sites.evergreen.edu\/mnm1516\/wp-content\/uploads\/sites\/76\/_mediavault\/2016\/04\/springcalculusquiz03.pdf\" target=\"_blank\">Quiz 3 on Week 3 Material<\/a><\/strong><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Week 23 Physics, Circuits: Physics reading: Ch 35. Focus on 35.1-35.3 (but definitely read the rest, especially 35.5). The main point of 35.4 is that there are things called inductors that have reactance ZL = i\u03c9L (Knight\u2019s \u201cXL\u201d is Horowitz &hellip; <a href=\"https:\/\/sites.evergreen.edu\/mnm1516\/week-23\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":218,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_mi_skip_tracking":false},"_links":{"self":[{"href":"https:\/\/sites.evergreen.edu\/mnm1516\/wp-json\/wp\/v2\/pages\/1447"}],"collection":[{"href":"https:\/\/sites.evergreen.edu\/mnm1516\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.evergreen.edu\/mnm1516\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.evergreen.edu\/mnm1516\/wp-json\/wp\/v2\/users\/218"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.evergreen.edu\/mnm1516\/wp-json\/wp\/v2\/comments?post=1447"}],"version-history":[{"count":0,"href":"https:\/\/sites.evergreen.edu\/mnm1516\/wp-json\/wp\/v2\/pages\/1447\/revisions"}],"wp:attachment":[{"href":"https:\/\/sites.evergreen.edu\/mnm1516\/wp-json\/wp\/v2\/media?parent=1447"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}