You are testing a new data- acquisition system. This systemallowsyou to record a

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You are testing a new data- acquisition system. This systemallowsyou to record a graph of the current in a circuit as afunction oftime. As part of the test you are using a circuit madeup of a4.00-[IMG: {rm cm}]-radius 500-turn coil ofcopper wireconnected in series to a 600 [IMG: rm Omega] resistor. Copperhasresistivity [IMG: 1.72 times 10^{ 8} Omega cdot {rm{m}}]and the wire used for the coil has diameter 0.0300[IMG: {rm mm}].You place the coil on atable that is tilted 30.0 [IMG: ^circ] fromthe horizontal and that liesbetween the poles of an electromagnet.The electromagnet generatesa vertically upward magnetic field thatis zero for [IMG: t < 0] equal to [IMG: left( {0.120{rm{ T}}}right) times left( {1 {rm{cos}} pi t} right)] for [IMG: 0le t le 1.00{rm{ s}}] and equalto 0.240 [IMG: {rm T}] for[IMG: t > 1.00{rm{ s}}].

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