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The combined capacity of a parallel combination of two capacitors is 4 times their combinrd capacity when connected in series. this happens if their capacities are |
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Answer» ┏_________∞◆∞_________┓ ✭✮ӇЄƦЄ ƖƧ ƳƠƲƦ ƛƝƧƜЄƦ✮✭ ┗_________∞◆∞_________┛ Let the CAPACITANCES be C₁ and C₂ Effective CAPACITANCE in : Series = C₁C₂/(C₁ + C₂) PARALLEL = C₁ + C₂ By the GIVEN conditions, C₁ + C₂ = 4C₁C₂/(C₁ + C₂) (C₁ + C₂)(C₁ + C₂) = 4C₁C₂ C₁² + C₂² + 2C₁C₂ = 4C₁C₂ C₁² + C₂² - 2C₁C₂ = 0 (C₁ - C₂)² = 0 C₁ - C₂ = 0 C₁ = C₂ Hence the given conditions occur only if both the capacitances are equal |
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