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An 7.80-mF capacitor is connected across an AC source with an rms voltage of 71.0 V oscillating with a frequency of 30.0 Hz. What are the following for this circult? (a) capacitive reactance (b) rms current (c) maximum current

Sagot :

a)The capacitive reactance is 680 ohms.

[tex]X_{c}=1/2\pi fC[/tex]

[tex]X_{c}=1/2\pi *30*7.8*10^{-6}[/tex]

[tex]X_{c}=680\\[/tex]

b)The rms current is 0.10 amperes.

[tex]I_{rms}=V_{rms}/X_{c}[/tex]

[tex]I_{rms}=71/680[/tex]

[tex]I_{rms}=0.10A[/tex]

c)The maximum current in the circuit is 0.147 amperes.

[tex]I_{max}=\sqrt{2} *I_{rms}[/tex]

[tex]I_{max}=\sqrt{2} *0.10[/tex]

[tex]I_{max}=0.147A[/tex]

What is capacitive reactance?

The measure of the opposition to alternating current by the capacitor is called Capacitive Reactance. The unit of Capacitive Reactance is Ohms-like resistance. The symbol of Capacitive Reactance is XC

What is the capacitive reactance formula?

Xc = 1/2πfc

XC is the capacitive reactance, π is a constant with the value of 3.14, f is the frequency, and c is the capacitance.

To know more about capacitive reactance:

https://brainly.com/question/14579743

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