AP® Physics C: E&M - Circuits with Capacitors and Inductors (LC Circuits) - MCQs
Question
A circuit is constructed using a battery of emf \(\varepsilon \), a resistor of resistance R, a capacitor of capacitance C, an inductor of inductance L, and three switches, as shown in the figure above. The three switches are labeled \(S_1\) ,\( S_2\) , and \(S_3 \), and they can be operated independently.
All switches are open, and there is no stored energy in the capacitor or the inductor. Switch \(S_3\) is closed. What is the current in the inductor after steady state has been reached?
(A)\(\frac{\varepsilon }{LR}\)
(B)\(\frac{\varepsilon R }{L}\)
(C)\(\frac{\varepsilon L}{R}\)
(D)\(\frac{\varepsilon }{R}\)
(E) Zero
Answer/Explanation
Ans:D
Question
A circuit is constructed using a battery of emf \(\varepsilon \), a resistor of resistance R, a capacitor of capacitance C, an inductor of inductance L, and three switches, as shown in the figure above. The three switches are labeled \(S_1\) ,\( S_2\) , and \(S_3 \), and they can be operated independently.
All switches are open, and there is no stored energy in the capacitor or the inductor. Switch \(S_1\) is closed. After the capacitor is fully charged, switch \(S_1\) is opened and switch \(S_2 \)is closed. Which of the following expressions represents the maximum current in the LC circuit?
(A) \(\frac{\varepsilon }{R}\)
(B)\(\varepsilon \sqrt{\frac{C}{L}}\)
(C)\(\varepsilon \sqrt{\frac{L}{C}}\)
(D)\(\frac{\varepsilon C}{L}\)
(E)\(\frac{\varepsilon L}{C}\)
Answer/Explanation
Ans:B