At what frequency would the reactance of a 100-pF capactor be 1000 $\Omega$?
A)3.18 MHz
B)15.9 MHz
C)1.59 MHz
D)3.98 MHz
E)2.54 Mhz

Question

Quizplus · Accepted Answer

Reactance of a capacitor is given by Xc = 1/(2πfc), where Xc is the reactance in ohms, f is the frequency in Hz and C is the capacitance in farads. 
Here, Xc = 1000 ohms, C = 100 pF = 100 × 10^-12 F. 
Substituting in the formula, we get: 
1000 = 1/(2πf × 100 × 10^-12) 
Solving for f, we get f = 1/(2π × 1000 × 100 × 10^-12) = 1.59 MHz. 
Therefore, the correct choice is C.

At What Frequency Would the Reactance of a 100-PF Capactor Ω\OmegaΩ

At What Frequency Would the Reactance of a 100-PF Capactor $\Omega$