Math Problem Statement
220 μF and 330 μF are connected in series with a 6.0 V battery of negligible internal resistance. Calculate the total capacitance, the charge stored on each capacitor, and the time constant with a 200 kΩ resistor.
Solution
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Math Problem Analysis
Mathematical Concepts
Capacitance in series
Charge storage in capacitors
Time constant in RC circuits
Formulas
1 / C_total = 1 / C1 + 1 / C2 (for capacitors in series)
Q = C_total × V (charge stored in a capacitor)
τ = R × C_total (time constant of an RC circuit)
Theorems
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Suitable Grade Level
Grades 11-12 (Physics and Advanced Mathematics)
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