what inductance (in mh) is needed with an 80 mu or micro ff capacitor to construct an lc circuit that oscillates with a frequency of 60 hz?

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19-12-2022
Physics

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what inductance (in mh) is needed with an 80 mu or micro ff capacitor to construct an lc circuit that oscillates with a frequency of 60 hz?

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febyyyvaalentina febyyyvaalentina · Answer 1 · 2022-12-23T19:47:25-05:00

An inductance of approximately 0.0012 mH is needed with an 80 uF capacitor to construct an LC circuit that oscillates at a frequency of 60 Hz.

It's worth noting that the values of inductance and capacitance in an LC circuit can affect the oscillation frequency, and it may be necessary to adjust these values in order to achieve the desired frequency. Additionally, the actual oscillation frequency of an LC circuit may differ slightly from the calculated value due to various factors, such as resistance and the quality of the components.

To determine the inductance needed for an LC circuit to oscillate at a particular frequency, you can use the following formula:

Inductance (L) = 1 / (2 * π * f * C)

Where:

L is the inductance in henries (H)

pi is the mathematical constant pi (approx. 3.1416)

f is the desired oscillation frequency in hertz (Hz)

C is the capacitance in farads (F)

Using this formula, we can calculate the inductance needed for an LC circuit with an 80 microfarad (uF) capacitor to oscillate at a frequency of 60 Hz:

L = 1 / (2 * 3.1416 * 60 * 0.000080)

L = 1.2 H

This value is in henries (H). To convert to millihenries (mH), divide by 1000:

L = 1.2 / 1000

L = 0.0012 mH

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