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The capacitor can withstand a peak voltage of 670 v. If the voltage source operates at the resonance frequency

Sagot :

The value of maximum voltage, when the capacitor can withstand a peak voltage of 670 v is 47.6 volts.

What is resonance frequency?

Resonance frequency is the natural frequency of an particle or object. At this frequency, the object tries to vibrate at higher amplitude. It can be calculated with the following formula:

[tex]f=\dfrac{1}{2\pi LC}[/tex]

Here, L is the induction and C is the capacitance.

Let for an L-R-C circuit, the value of resistance is 400 ohm, induction is 0.380 Haney and capacitance is 1.20×10⁻² μF.

Put the values in above formula,

[tex]f=\dfrac{1}{2\pi(0.380)(1.20\times10^{-8})}\\f=2356.8\rm\; Hz[/tex]

The capacitor can withstand a peak voltage of 670 v. Use the following formula to find the value of current as,

[tex]I=2\pi fC\times Vc\\I=2\pi (2356.8)(1.20\times10^{-8})\times 670\\I=0.119\rm\; A[/tex]

The value of resistance is 400 ohms. Thus, the voltage is,

[tex]V=IR\\V=(0.119)(400)\\V=47.6\rm\; V[/tex]

Thus, the value of maximum voltage, when the capacitor can withstand a peak voltage of 670 v is 47.6 volts.

Learn more about the resonance frequency here:

https://brainly.com/question/3292140

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