29. Two capacitor plates each of effective area 6 cm’ are separated by 1.3 mm. Find the capacitance if
the space between the plates is filled with air and also determine the charge on the capacitor if a
voltage of 12V is applied across it.
Answers
Explanation:
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Given info : Two capacitor plates each of effective area 6 cm² are separated by 1.3 mm. the space between the plates is filled with air.
To find : the capacitance of capacitor and also the charge on the capacitor if a voltage of 12v is applied across it.
solution : we know, C = ε₀A/d
here area of plate, A = 6 cm² = 6 × 10¯⁴ m²
separation between plates, d = 1.3 mm = 1.3 × 10¯³ m
now, C = (8.54 × 10¯¹² C²/Nm² × 6 × 10¯⁴ m²)/(1.3 × 10¯³ m)
= 39.41538 × 10¯¹³ Farad
≈ 4 × 10¯¹² Farad.
we know, q = CV
so, q = 4 × 10¯¹² × 12 = 48 × 10¯¹² Coulombs = 48pC
Therefore the charge on the capacitor is 48pC.
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