Question:
In an ideal parallel LC circuit, the capacitor is charged by connecting it to a DC source which is then disconnected. -The current in the circuit:
In an ideal parallel LC circuit, the capacitor is charged by connecting it to a DC source which is then disconnected. -The current in the circuit:
Updated On: Jun 20, 2022
- becomes zero instantaneously
- grows monotonically,
- decays monotonically
- oscillates instantaneously
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The Correct Option is B
Solution and Explanation
When a charged capacitor is discharged through an inductor of negligble ohmic resistance, electrical oscillations takes place in the circuit. These are called L - C oscillations.
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Concepts Used:
Phasor Diagrams
It is a representation of an oscillating quantity. In phase space with an angular velocity equal to the angular frequency of the original trigonometric function.
The projection of the phasor onto an axis at a specific time gives the value of the quantity at that time. Phasor diagrams are used in simple harmonic motion and RLC circuits which have elements that are out of phase with one another and thus difficult to work with in configuration space.
Read More: Phasor Representation
Three ways to represent phasors:
- Polar Form: Assume we have a phasor with an amplitude of Vm and a polar form that makes an angle with the horizontal axis. In the polar form we can write it as Vm.
- Rectangular Form: Any phasor can be shown as a complex number, such as A+iB.
- Exponential Form: It is represented as VmejΦ