Solution:
Solution
Impedance of series RLC circuit is given by:
$$Z = \sqrt {R^2 + \left( 2 \pi f L - \dfrac{1}{2 \pi f C} \right)^2}$$
$$Z = \sqrt {10^2 + \left(2\pi \times 500 \times 8.1 \times10^{-3} - \dfrac{1}{2 \pi \times 500 \times 12.5 \times 10^{-6} } \right)^2}$$
$$Z \approx 10\ \Omega$$
Current flowing through the circuit is:
$$I = \dfrac{V}{Z} = 10A$$
Potential difference across the resistor, by ohm's Law is:
$$V_R = IR = 10 \times 10 = 100\ V$$