The impedance the rlc circuit purely resistive

Solved Step by Step With Explanation- RLC Resonance:Vc

Questions

Enter you answer in V. Report the magnitude of the voltage across the capacitor.

Answers

where ω is the angular frequency in radians per second, L is the inductance in henries, and C is the capacitance in farads.

Given:

ω = 1 / √(19.8095 × 10^(-3) H × 77.0412 × 10^(-6) F)

= 1 / √(1.528898174 × 10^(-9))

So, at resonance, the current through the circuit is V1 / R, and the voltage across the capacitor (Vc) is given by:

Vc = I × Xc

≈ 202.631 Ω

Now, let's calculate the current (I) through the circuit:

Finally, we can calculate the voltage across the capacitor:

Vc = I × Xc