The switch in the figure below is connected to position \(a\) for a long time interval. At \(t = 0\), the switch is thrown to position \(b\). After this time, what are the following? (Let \(C = 1.50 \, \mu \text{F}\).)![Diagram of the Circuit](image.png) **Diagram Explanation:**- The circuit contains a 12.0 V battery, a 10.0 \(\Omega\) resistor, a switch \(S\) that can connect to position \(a\) or \(b\), a capacitor \(C\), and an inductor with inductance 0.100 H.- In position \(a\), the circuit involves the battery and the resistor, charging the capacitor.- In position \(b\), the circuit forms an LC oscillating circuit with the capacitor and the inductor.**Questions:**(a) The frequency of oscillation of the LC circuit: \(\_\_\_\_\_\) Hz(b) The maximum charge that appears on the capacitor: \(\_\_\_\_\_\) \(\mu \text{C}\)(c) The maximum current in the inductor: \(\_\_\_\_\_\) mA(d) The total energy the circuit possesses at \(t = 3.00 \, \text{s}\): \(\_\_\_\_\_\) \(\mu \text{J}\)

"As per the guidelines i solved the first three subpart". (a) The frequency of oscillation of LC circuit is, ω=1LC The expression for frequency is, ω=2πf Solve the above relations, to find the frequency of oscillation. 1LC=2πff=12πLC=123.140.1001.50×10-6=411.1 Hz(b) Find the maximum charge appears on the capacitor. Qmax=Cε=1.50 μF12.0 V=18 μC (c) The energy stored in the capacitor is, U=Qmax22C The energy stored in the inductor is, U=LImax22Solve the above two relations. Qmax22C=LImax22Qmax2C=LImax2Imax=QmaxLC Substitute Qmax=Cε in above relation. Imax=CεLC=CCεLC=εCL Substitute the values. Imax=121.50×10-60.100=46.5×10-3 A1 mA10-3 A=46.5 mA

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The switch in the figure below is connected to position a for a long time interval. At t = 0, the switch is thrown to position b. After this time, what are the following? (Let C = 1.50 µF.) 10.0 N 0.100 H ll + 12.0 V C (a) the frequency of oscillation of the LC circuit Hz (b) the maximum charge that appears on the capacitor (c) the maximum current in the inductor

The switch in the figure below is connected to position a for a long time interval. At t = 0, the switch is thrown to position b. After this time, what are the following? (Let C = 1.50 µF.) 10.0 N 0.100 H ll + 12.0 V C (a) the frequency of oscillation of the LC circuit Hz (b) the maximum charge that appears on the capacitor (c) the maximum current in the inductor

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

The switch in the figure below is connected to position \(a\) for a long time interval. At \(t = 0\), the switch is thrown to position \(b\). After this time, what are the following? (Let \(C = 1.50 \, \mu \text{F}\).)

![Diagram of the Circuit](image.png)

**Diagram Explanation:**

- The circuit contains a 12.0 V battery, a 10.0 \(\Omega\) resistor, a switch \(S\) that can connect to position \(a\) or \(b\), a capacitor \(C\), and an inductor with inductance 0.100 H.
- In position \(a\), the circuit involves the battery and the resistor, charging the capacitor.
- In position \(b\), the circuit forms an LC oscillating circuit with the capacitor and the inductor.

**Questions:**

(a) The frequency of oscillation of the LC circuit:
\(\_\_\_\_\_\) Hz

(b) The maximum charge that appears on the capacitor:
\(\_\_\_\_\_\) \(\mu \text{C}\)

(c) The maximum current in the inductor:
\(\_\_\_\_\_\) mA

(d) The total energy the circuit possesses at \(t = 3.00 \, \text{s}\):
\(\_\_\_\_\_\) \(\mu \text{J}\)

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