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A $0.22-\mu \mathrm{H}$ inductor is connected to an ac generator with an rms voltage of 12 $\mathrm{V}$ . For what range of frequencies will the rms currentin the circuit be less than 1.0 $\mathrm{mA}$ ?
$8.67 \mathrm{GHz}<f<\infty$
Physics 102 Electricity and Magnetism
Chapter 24
Alternating-Current Circuits
Current, Resistance, and Electromotive Force
Direct-Current Circuits
Electromagnetic Induction
Alternating Current
University of Washington
Hope College
University of Sheffield
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we begin by remembering that the voltage is he close to the current. Multiply it by impedance, which in this case is a coastal inductive reactors, and the inductive reactions is equal to two pi times the frequency times the doctors. Then we can solve this equation for the current to get that current. He's in Causton DiVall Tish divided by to pi times the frequency times in doctors and we want the current to be smaller than one merely ampere So 0.1 Then we can solve this in equation for the frequency to get that the voltage divided by to fight times l A. Times 0.1 must be smaller than all equal to the frequency plugging in the values given by the problem. We get that the frequency must be bigger than our equals. Two 12 Invited by two pi times 0.22 time Stand to the mine 06 with a microbe times zero 0.1 And these is approximately eight point 681 time Stand for the six and we conclude that the frequency must be bigger than or equals two 8.7. You got hurt
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