Capacitor and inductor are connected in series, C is unknown, L is unknown but it's internal resistance is known (R=20Ω). These two elements are charged with sinusoidal voltage generator with variable frequency, effective value is constant. For f1=580kHz and f2=612kHz current through the circuit is 0.707 times it's maximal value. Resonant frequency is f0=595.8kHz. Find L and C.
First, i am not sure what it means "it's internal resistance is known (R=20Ω)". Does it means that ωL=R=20Ω, or i can think of it as a resistor added is series with inductor and capacitor?
Then, i know that Imax=0.707Ieff and i know that:
i(t)=Imax*cos(ωt+φ) and ω=2πf and when i have frequencies f1=580kHz and f2=612kHz i(t)=Imax*0.707 but i don't know how this can help me.
First, i am not sure what it means "it's internal resistance is known (R=20Ω)". Does it means that ωL=R=20Ω, or i can think of it as a resistor added is series with inductor and capacitor?
Then, i know that Imax=0.707Ieff and i know that:
i(t)=Imax*cos(ωt+φ) and ω=2πf and when i have frequencies f1=580kHz and f2=612kHz i(t)=Imax*0.707 but i don't know how this can help me.