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

The formula to calculate the inductive impedance of the circuit is given by

${X}_{L} = \omegaL . . . \left(1\right)$

The formula to calculate the capacitive impedance of the circuit is given by

${X}_{C} = \dfrac{1}{\omegaC} . . . \left(2\right)$

The formula to calculate the total impedance of the circuit can be written as

$\begin{cases}Z & = & \sqrt{{R}^{2} + {\left({X}_{c} - {X}_{L}\right)}^{2}} \\ & = & \sqrt{{R}^{2} + {\left(\dfrac{1}{\omegaC} - \omegaL\right)}^{2}} . . . \left(3\right)\end{cases}$

Substitute the values of the given parameters into equation (3) to calculate the required net impedance of the circuit.

$\begin{cases}Z & = & \sqrt{{\left(10Ω\right)}^{2} + {\left(\dfrac{1}{2\pi \times 50Hz \times \dfrac{{10}^{3}}{\pi} \times {10}^{- 6}F} - 2\pi \times 50Hz \times \dfrac{50}{\pi} \times {10}^{- 3}H\right)}^{2}} \\ & = & \sqrt{100 + 25}Ω \\ & = & \sqrt{125}Ω \\ & = & 5\sqrt{5}Ω\end{cases}$