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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:
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