In an oscillating system, a restoring force is a must. In an L-C circuit, the restoring force is provided by alan

Options

A. inductor
B. capacitor
C. resistor
D. both (A) and (B)

Answer

To solve the question regarding the restoring force in an LC circuit, we need to understand the role of both the inductor and the capacitor in the oscillatory behavior of the circuit. Here's a step-by-step breakdown of the solution:

### Step 1: Understand the Components of an LC Circuit
An LC circuit consists of an inductor (L) and a capacitor (C). The inductor stores energy in the form of a magnetic field when current flows through it, while the capacitor stores energy in the form of an electric field when it is charged.

**Hint:** Remember that inductors and capacitors store energy in different forms.

### Step 2: Identify the Oscillation Mechanism
In an LC circuit, the energy oscillates between the inductor and the capacitor. When the capacitor is fully charged, the current through the inductor is zero, and when the inductor's magnetic field is at its maximum, the capacitor is fully discharged.

**Hint:** Think about how energy transfers between the inductor and capacitor during the oscillation.

### Step 3: Define Restoring Force
In oscillatory systems, the restoring force is what brings the system back to equilibrium. In the context of an LC circuit, the restoring force is related to the changes in current and charge.

**Hint:** Consider how the current and charge interact to create a restoring effect.

### Step 4: Analyze the Oscillation of Charge and Current
As the system oscillates, when the current is at its maximum, the charge on the capacitor is at its minimum (zero), and vice versa. This means that the inductor and capacitor are constantly working against each other to restore the system to equilibrium.

**Hint:** Observe the relationship between current and charge during the oscillation.

### Step 5: Conclude the Source of Restoring Force
Since both the inductor and capacitor are involved in the oscillation, the restoring force in the LC circuit is provided by both components. The inductor provides a restoring force when the current changes, and the capacitor provides a restoring force when the charge changes.

**Hint:** Recognize that both elements contribute to the oscillatory behavior.

### Final Answer
The restoring force in an LC circuit is provided by both the capacitor and the inductor.