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Derive an expression for the uncertainty in this equivalent capacitance for the capacitors C1 ± dC1, C2 ± dC₂ and C3 ± dC3, note that the uncertainty is written as dC₁ rather than AC₁ to keep STACK happy! Assume that the uncertainties in all the capacitances are measured in the same way. AC'eqv = C₁ is fully charged to a voltage V and then disconnected from the battery. Without being discharged it is then connected in parallel with C₂. Write an expression for the voltage across C'₂ now. Vf = What would be the voltage if a third capacitor, C3 is now added in parallel with C₁ and C₂? Vf = C₁ is now disconnected and discharged without discharging the other capacitors, and then reconnected into the circuit so that C₁, C2 and C3 are once again in parallel. What voltage will be measured now? V₁ =
Transcribed Image Text:Derive an expression for the uncertainty in this equivalent capacitance for the capacitors C1 ± dC1, C2 ± dC₂ and C3 ± dC3, note that the uncertainty is written as dC₁ rather than AC₁ to keep STACK happy! Assume that the uncertainties in all the capacitances are measured in the same way. AC'eqv = C₁ is fully charged to a voltage V and then disconnected from the battery. Without being discharged it is then connected in parallel with C₂. Write an expression for the voltage across C'₂ now. Vf = What would be the voltage if a third capacitor, C3 is now added in parallel with C₁ and C₂? Vf = C₁ is now disconnected and discharged without discharging the other capacitors, and then reconnected into the circuit so that C₁, C2 and C3 are once again in parallel. What voltage will be measured now? V₁ =
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