Question

A 35-mf capacitor is connected to an ac source with a frequency of 400 hz and a maximum emf of 20 v. The maximum current, in s. I. Units, is:

Answer 1

The value of maximum current for A 35-mf capacitor which is connected to an ac source with a frequency of 400 hz and a maximum emf of 20 v is 1.76 ampere.

What is capacitance of capacitor?

The capacitance of a capacitor is the ratio of the electric charge stored inside the capacitance to the potential difference.  The value of capacitive reactance can be calculated as,

$X_c=\dfrac{1}{2\pi fC}$

Here, C is capacity and (f) is the frequency.

A 35-mf capacitor is connected to an AC source with a frequency of 400 hz and a maximum emf of 20 v.

$X_c=\dfrac{1}{2\pi fC}\\X_c=\dfrac{1}{2\pi (35\times10^{-6})(400)}\\\X_c=11.37\rm\; ohm$

The maximum current flowing is the ratio of maximum emf to the capacitive reactance. Thus, the maximum current is,

$I_{\text{RMS}}=\dfrac{V_{\text{RMS}}}{X_C}\\I_{\text{RMS}}=\dfrac{20}{11.37}\\I_{\text{RMS}}=1.76\rm\; Amp$

Thus, the value of maximum current for A 35-mf capacitor which is connected to an ac source with a frequency of 400 hz and a maximum emf of 20 v is 1.76 ampere.

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