Current Through an Oscillating LC Circuit

In summary, an oscillating LC circuit is an electrical circuit consisting of an inductor and a capacitor connected in parallel. The inductor stores energy in the form of a magnetic field, while the capacitor stores energy in the form of an electric field. This causes the current to oscillate back and forth between the two components. The frequency of oscillation is determined by the values of the inductor and capacitor, with larger values resulting in a lower frequency and smaller values resulting in a higher frequency. In an ideal LC circuit, the current and voltage are 90 degrees out of phase, a relationship known as resonance. However, external factors such as resistance and electromagnetic fields can affect the amplitude and frequency of oscillation in an LC circuit.
  • #1
evilempire
24
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An oscillating LC circuit consisting of a 7.5 nF capacitor and a 4.4 mH coil has a maximum voltage of 2.0 V. What is the maximum current through the circuit?

I got 1.5x10^-8 C for the max. charge.
 
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  • #2
[tex]\frac{1}{2}L I_m^2=\frac{1}{2}CU_m^2[/tex]
 
  • #3
Got it. Forgot about the ability to set those equal to each other in oscillation.

Thanks!
 

FAQ: Current Through an Oscillating LC Circuit

1. What is an oscillating LC circuit?

An oscillating LC circuit is an electrical circuit that contains an inductor (L) and a capacitor (C) connected in parallel. When charged, the capacitor stores energy and then releases it back to the circuit, causing the current to oscillate back and forth between the inductor and the capacitor.

2. What is the role of the inductor in an oscillating LC circuit?

The inductor in an oscillating LC circuit stores energy in the form of a magnetic field. As the capacitor discharges its stored energy, the inductor releases its stored energy and causes the current to continue oscillating back and forth.

3. How does the frequency of oscillation change in an LC circuit?

The frequency of oscillation in an LC circuit is determined by the values of the inductor and capacitor. As the values of the inductor and capacitor change, the frequency of oscillation also changes. A larger inductor or capacitor will result in a lower frequency of oscillation, while a smaller inductor or capacitor will result in a higher frequency of oscillation.

4. What is the relationship between current and voltage in an oscillating LC circuit?

In an ideal oscillating LC circuit, the current and voltage are 90 degrees out of phase. This means that when the current is at its maximum, the voltage is at its minimum, and vice versa. This relationship is known as resonance and is important in many practical applications, such as radio communication.

5. How do external factors affect the current in an oscillating LC circuit?

External factors, such as resistance, can affect the amplitude of the current in an oscillating LC circuit. Resistance can cause the current to dissipate over time, resulting in a decrease in amplitude. Additionally, external electromagnetic fields can also affect the frequency of oscillation in an LC circuit.

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