1. Tardigrade
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  3. Physics
  4. A parallel-plate air-capacitor has area 20 cm 2 and plate separation 0.10 mm. Find the maximum rms voltage (in volt) of an AC source which can be safely connected to this capacitor. Max electric field till capacitor will not break down is E=3 × 106 V / m

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Q. A parallel-plate air-capacitor has area $20 \,cm ^{2}$ and plate separation $0.10 \,mm$. Find the maximum rms voltage (in volt) of an AC source which can be safely connected to this capacitor. Max electric field till capacitor will not break down is $E=3 \times 10^{6} V / m$

Alternating Current

Solution:

Given $ E=3 \times 10^{6} V / m$
$d =0.1 \,mm =10^{-4} m$
$ A=20 \,cm ^{2}$
$V_{\max }= E.d. =3 \times 10^{6} \times 10^{-4}=300$ volt
$V_{\text {rms }}=0.707 \,V _{\max }=0.707 \times 300=210$ volt