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Maslowich
2 years ago
10

A 10-µf capacitor is plugged into a 110 v-rms 60-hz voltage source. what is the rms value of the current through the capacitor?

what is the maximum value of the current through the capacitor?
Physics
1 answer:
ValentinkaMS [17]2 years ago
7 0

The rms value of current is0.414A, and the maximum value of current is 0.585A.

To find the answer, we have to study about the capacitive reactance.

<h3>How to find the rms and maximum value of current?</h3>
  • We have the expression for rms value of current as,

                 I_{rms}=\frac{V_{rms}}{X_c}

where; Xc is the capacitive reactance of the circuit.

  • We have the capacitive reactance as,

                 X_c=\frac{1}{2\pi fC} =\frac{1}{2\pi *60*10*10^{-6}} =265.39 Ohm

  • Thus, the value of rms current will be,

                 I_{rms}=\frac{110}{265.39} =0.414A

  • Thus, the maximum value of current will be,

                I_0=\sqrt{2}*I_{rms} =0.585A

Thus, we can conclude that, the rms value of current is0.414A, and the maximum value of current is 0.585A.

Learn more about the capacitive reactance here:

brainly.com/question/27853857

#SPJ4

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Using sine rule:

\frac{b}{sin(B)}=\frac{c}{sin(C)}  \\\\\frac{8}{sin(120)}=\frac{5}{sin(C)}  \\\\sin(C)=\frac{5*sin(120)}{8} =0.5412\\\\C=sin^{-1}(0.5412)=32.8^o\\\\

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