A 23 millihenry mH inductor, a 0.4 mic o arad F capacitor, and a 23 kilo-ohm k r

Question

A 23 millihenry mH inductor, a 0.4 mic o arad F capacitor, and a 23 kilo-ohm k resistor are connected in a loop, so that all current through any component goes through both of the others. If the inductor had an initial current of 40 milliamperes [mA] and the capacitor had an initial voltage of 10 volts [V], how much energy will the resistor have absorbed after both the inductor and the capacitor have fully discharged? Express your answer in joules [JJ using an appropriate SI prefix such that there are only one, two, or three digits shown to the left of the decimal. Assume all components are ideal Click the icon to view the table that summarizes the electrical properties Click the icon to view the table of SI prefixes. The resistor will absorb 37J(Round your answer to two significant digits.)

Explanation / Answer

Power delivered by the charged inductor and capacitor is equal power absorbed by resistance

Current flowing through resistance of 23k ohm = 40 mA

Power = I2*R

Power = (40*10-3)2*23*103

Power = 1600*10-6*23*103

Power = 36800*10-3

Power = 36.8 Watt

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