Answer & Solution
Answer: Option A
Solution:
Capacitive Reactance should be:
$${{\text{X}}_{\text{C}}} = \frac{1}{2}\pi {\text{fC}}$$
Where:
f = frequency
C = Capacitance
For capacitors in series:
$$\eqalign{
& \frac{1}{{\text{C}}} = \frac{1}{{{{\text{C}}_1}}} + \frac{1}{{{{\text{C}}_2}}} \cr
& {\text{So,}}\,{\text{C}} = 3.4 \times {10^{ - 7}}{\text{F}} \cr
& {\text{So:}} \cr
& {{\text{X}}_{\text{C}}} = \frac{1}{{2\pi \cdot 3.4 \times {{10}^{ - 7}} \cdot 10000}} = 46.8\Omega \cr} $$