A series LC circuit has a 0.010 H inductor and a 4.0 ?F capacitor. The charge on

Question

A series LC circuit has a 0.010 H inductor and a 4.0 ?F capacitor. The charge on a capacitor is given as a function of time by

q(t) = Acos(?t + ?).

At t = 0 the charge on the capacitor is 2.0 ?C and the current into the capacitor is 20 mA. What is the value of A?

A series LC circuit has a 0.010 H inductor and a 4.0 F capacitor. The charge on a capacitor is given as a function of time by g(t) = Acos(wt + ) At t = 0 the charge on the capacitor is 2.0 C and the current into the capacitor is 20 mA. what is the value of A?

Explanation / Answer

A = maximum charge

Using energy conservation

maximum energy in capacitor = Total energy in inductor and capacitor at t = 0

(0.5) A2/C = (0.5) Q2/C + (0.5) Li2

A2/C = Q2/C + Li2

A2/(4 x 10-6) = (2 x 10-6)2 /(4 x 10-6) + (0.01) (0.020)2

A = 4.5 x 10-6 = 4.5 uC

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.