4/11/2016 11:55 PM Gradebook 49.7/100 Print CalculatorPeriodic Table Question 10

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4/11/2016 11:55 PM Gradebook 49.7/100 Print CalculatorPeriodic Table Question 10 of 16 Map sapling leaning uis quuestion has been austomized by Steven Summers at Arkansas State University, Newport Consider a series RLC circuit where R-549 and C = 4.25 F. However, the inductance L of the inductor is unknown. To find its value, you decide to perform some simple measurements. You apply an ac voltage that peaks at 72.0 V and observe, using an oscilloscope, that the resonance angular frequency occurs at 76300 s-1 (recall that -2nt). What is the inductance of the inductor in millihenrys? Number mH O Previous Give Up & View Solution O check Answer 0 Next Exit

Explanation / Answer

from the resonance angular frequency

0 = 1 / sqrt{ L C } ---> L = 1 / ( 2 C ) = 1 / ( ( 2 f )2 C )

L = 1 / ( ( 2 *76300 Hz )2 * 4.25x10-6 F )

L = 1.02x10-6 H

L = 0.00102 mH

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