Question

Part A Constants Draw he graph that should be peoduced by your data-acquistion system axes) (This Is a fulleatured system, so the graph will include labels and numerical values on es You are testing a new data- acquistion systom. This system alows you to recond a graph of the cunent in a crcut as a tunction of time As pat of the test, you are using a cirout made up of a 4.00-cmadus, 500um coll of copper wire connectod in senes to a 600 52 sesistor Copper has nesistivity 1.T2 x 10n-m and the wire used for the col has diameter 0.0300 mm You place the col fet on a table that is ted 300 trom the horizontal and that lios botweon the poles of an electromagnet The electromagnet genenates a vertically upward magnetic feld that is zero for t<0 equal to (0.120T) x (1-cos t) for 0 t1.00s and equal to 0240 T fort1.00s + AA No elements selected (mA) 20 t (s

Answer 1

(A)The expression for induced current across a loop is (g)p dt R+R (1) From the given data,for1&>1.0s dB = 0 dt 0 (2)for 0st1.0s dB d (B (1 -COS N dt dt TB sin t _ Resistance of the wire can be clculated as follows (here /n(2r) A _ (1.72x10 m(500) (27T(0.04m)) (T(0015x10m)) 3058 _ Now substitute all the given values in the equation (1), (500)(지(0.015x103. m A(0.12T) ISin 3058600 dt (0.259 mA) The following graph shows I (current S1n (time) versusf (B) Bis increasing (out of the page),induced magnetic field increasing (into the page)induced current in the coil is Clock wise.

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