At what frequency is the reactance of a 2-mH inductor equal to the reactance of a 100-pF capacitor? A)2.2 $\times$ 10⁶ Hz B)1.3 $\times$ 10¹¹ Hz C)3.6 $\times$ 10⁵ Hz D)600 Hz E)none of the above

Question

Quizplus · Accepted Answer

Reactance of inductor X_L = 2πfL
Reactance of capacitor X_C = 1/(2πfC)
Equating both reactances:
2πfL = 1/(2πfC)
f = 1/(2π√(LC))
f = 1/(2π√(2mH*100pF))
f = 3.6 MHz

At What Frequency Is the Reactance of a 2-MH Inductor ×\times×

At What Frequency Is the Reactance of a 2-MH Inductor $\times$