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

Question

Quizplus · Accepted Answer

Reactance of an inductor: XL = 2πfL 
Reactance of a capacitor: XC = 1/(2πfC)

Setting XL equal to XC: 
2πfL = 1/(2πfC)

Simplifying: 
f = 1/(2π√(LC))

Plugging in the given values: 
f = 1/(2π√(2×10^-3×100×10^-12)) = 3.6 × 10^15 Hz = 3.6 × 10^10 kHz = 36 GHz

Therefore, the correct answer is C) 3.6 × 10^10 Hz.

At What Frequency Is the Reactance ) of a 2-MH