asked 166k views
5 votes
The capacitor can withstand a peak voltage of 510 volts. If the voltage source operates at the resonance frequency, what maximum voltage amplitude Vmax can the source have if the maximum capacitor voltage is not exceeded

asked
User Andred
by
8.6k points

1 Answer

3 votes

The complete question is Resistance is 440 Ω, inductance L = 0.380 H, capacitance, C = 1.4 ×10⁻² μF

Answer:

43.12 V

Step-by-step explanation:

Find the current through the capacitor.


I = (V)/(X_c)\\I = (510 V)/(X_c)\\I = (\omega C) (510V)\\I = \sqrt {\frac {C}{L}} (510V)\\I = \sqrt {\frac {1.4* 10^(-8)}{0.380}} (510)= 0.098 A

At resonance, impedance Z = R

V = IR

V = 0.098 × 440 = 43.12 V

answered
User Sophia Gold
by
7.7k points