Q. The characteristic impedance of a co-axial cable is$160\ \Omega$. If its inductance is 0.4 mH, its capacitance would be
A) $15.6\ \mu F$
B) $1.6\ F$
C) 15.6 nF
D) 15.6 pF
Explanation
(c) From $Z_{0} = \sqrt{\frac{L}{C}}$ ,
$C = \frac{L}{Z_{0}^{2}} = \frac{0.4 \times 10^{- 3}}{160 \times 160}$
$= {15.62 \times 10}^{- 19}F = 15.62\ nF$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.