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Reduction of resonant frequency in LCR c...

Reduction of resonant frequency in LCR circuit with a generator is done by:

A

Removing dielectric in a capacitor

B

Removing iron core of the inductor

C

Removing generator frequency

D

Adding another capacitor in parallel to

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To solve the problem of how to reduce the resonant frequency in an LCR circuit with a generator, we need to understand the relationship between the components of the circuit and the resonant frequency. ### Step-by-Step Solution: 1. **Understand the Resonant Frequency Formula**: The resonant frequency (f₀) of an LCR circuit is given by the formula: \[ f_0 = \frac{1}{2\pi\sqrt{LC}} \] where L is the inductance and C is the capacitance of the circuit. 2. **Identify the Components**: In an LCR circuit, we have: - L: Inductance (measured in Henrys) - C: Capacitance (measured in Farads) 3. **Analyze the Effect of Capacitance**: From the formula, we can see that the resonant frequency is inversely proportional to the square root of the capacitance (C). This means that if we increase the capacitance, the resonant frequency will decrease. 4. **Consider the Role of Dielectric**: The presence of a dielectric material in a capacitor increases its capacitance. If we remove the dielectric, the capacitance decreases, which would increase the resonant frequency. 5. **Conclusion**: To reduce the resonant frequency in the LCR circuit, we should **increase the capacitance**. This can be achieved by adding a dielectric material to the capacitor or by using a capacitor with a larger capacitance value. ### Final Answer: Reduction of resonant frequency in an LCR circuit with a generator is done by **increasing the capacitance** (for example, by adding a dielectric in the capacitor). ---

To solve the problem of how to reduce the resonant frequency in an LCR circuit with a generator, we need to understand the relationship between the components of the circuit and the resonant frequency. ### Step-by-Step Solution: 1. **Understand the Resonant Frequency Formula**: The resonant frequency (f₀) of an LCR circuit is given by the formula: \[ f_0 = \frac{1}{2\pi\sqrt{LC}} ...
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