The plates of a parallel plate capacitor have an area of 90 cm² each and are separated by 2.5 mm. The capacitor is charged by a 400 volt supply. How much electrostatic energy is stored by the capacitor?(a) 2.55 × 10⁻⁶ J(b) 1.55 × 10⁻⁶ J(c) 8.15 × 10⁻⁶ J(d) 5.5 × 10⁻⁶ J
Answers
Answer:
Explanation:
Cross section area of parallel plate capacitor , A = 90 cm² = 90 × 10^-4 m²
separation between plates , d = 2.5mm = 2.5 × 10^-3 m
C = CoA/d
C = (8.85 × 10^-12 × 90 × 10^-4)/(2.5 × 10^-3)
= 32 × 10^-12 F = 32pF
The electrostatic energy stored by the capacitor , U = 1/2 CV²
U = 1/2 × 32 × 10^-12 × (400)²
= 1/2 × 32 × 10^-12 × 160000
= 16 × 10^-12 × 16 × 10^4
= 256 × 10^-8 = 2.56 × 10^-6 J
The volume , V = A × d = 90 × 10^-4 × 2.5 × 10^-3
= 2.25 × 10^-5 m³
Thus, energy per unit volume = Energy/volume
= (2.56 × 10^-6)/(2.25 × 10^-5) J/m³
= 1.13 × 10^-1
= 0.113 J/m³
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The plates of a parallel plate capacitor have an area of 90 cm² each and are separated by 2.5 mm. The capacitor is charged by a 400 volt supply. How much electrostatic energy is stored by the capacitor?
(a) 2.55 × 10⁻⁶ J
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