a)
A parallel plate capacitor of 2 uF at 150V at a
parallel plate capacitor of 1 uF at 300 V are
connected in parallel. The total energy lost by the
capacitors is equal to
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Given:
C₁ = 2μF, V₁ = 150V
C₂ = 1μF, V₂ = 300V
To find:
Total energy loss
Solution:
First capacitor capacitance, C₁ = 2μF
Potential of first capacitor, V₁ = 150V
Second capacitor capacitance, C₂ = 1μF
Potential of second capacitor, V₂ = 300V
they are connected parallelly. So, common potential can be calculated as-
V = 200V
So, final charge on capacitors are
q₁' = C₁V = 2× 200 = 400μC
q₂' = C₂V = 1 × 200 = 200μC
so, total loss in energy is,
× 10⁻⁶
ΔU = 7500μJ
Therefore the energy loss is 7500μC.
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