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In an L-C circuit...

In an L-C circuit

A

the energy stored in L as well as in C is magnetic energy

B

the energy stored in L is magnetic but in C it is electrical

C

the energy stored in L is electrical but in C it is magnetic

D

the energy stores in L as well as C is electrical energy

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem regarding the energy stored in an LC circuit, we will analyze the energy stored in both the inductor and the capacitor. ### Step-by-Step Solution: 1. **Identify the Components**: - An LC circuit consists of an inductor (L) and a capacitor (C). 2. **Energy Stored in the Inductor**: - The energy (\(U_L\)) stored in the inductor is given by the formula: \[ U_L = \frac{1}{2} L I^2 \] - Here, \(L\) is the inductance and \(I\) is the current flowing through the inductor. - This energy is stored in the magnetic field created around the inductor. 3. **Energy Stored in the Capacitor**: - The energy (\(U_C\)) stored in the capacitor is given by the formula: \[ U_C = \frac{1}{2} C V^2 \] - Here, \(C\) is the capacitance and \(V\) is the voltage across the capacitor. - This energy is stored in the electric field between the plates of the capacitor. 4. **Comparison of Energy Forms**: - The energy stored in the inductor is in the form of magnetic energy. - The energy stored in the capacitor is in the form of electrical energy. 5. **Conclusion**: - Based on the analysis, we can conclude that the energy stored in the inductor is magnetic, while the energy stored in the capacitor is electrical. Therefore, the correct option regarding the energy stored in an LC circuit is: - **Option B**: The energy stored in the inductor is magnetic, and in the capacitor, it is electrical.
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