Question

The net impedance of circuit (as show figure) will be :

• A. 15Ω
• B. $5\sqrt5$ Ω
• C. 25Ω
• D. $10\sqrt2$ Ω

Answer 1

Answer: (B)

$5\sqrt5$ Ω

Answer 2

$X_L=\frac{50}{L}\times10^{-3}\times2\pi\times50=5\Omega$
$X_C=\frac{1}{2\pi\times50\times\frac{10^3}{\pi}\times10^{-6}}=10\Omega$
$Z=\sqrt{R^2+(X_L-X_C)^2}$
$=\sqrt{10^2+5^2}$
$=5\sqrt5 \,\,\Omega$
So, the correct option is (B) :$5\sqrt5$ Ω