Question

1. Consider the following situation where you have two capacitors. You didn't build these capacitors, but have the engineering specifications from an external company: Capacitor A has capacitance of 4µF and Capacitor B has capacitance of 6µF. Both capacitors are completely filled with the same dielectric material (insulator), and both have geometry of parallel conducting plates that sandwich the dielelectric. 1.1. If the dielectric material has K = 4 and capacitor A has a plate area of 1mm, then what is the distance between the conducting plates? 1.2. If capacitor B has a distance of 100µm between it's plates, what is the area of its plates? 1.3. If the above is true, what charge would capacitor A take from a 240V battery, assuming it was the only item in the circuit with the battery? 1.4. If the above is true, what voltage battery would capacitor B need to be connected to, in order to be charged to 5µC? Assume capacitor B would have the battery all to itself, in this calculation. 1.5. If both capacitor A and capacitor B were hooked up in series to a 240V battery, what would be the total charge that they would draw from the battery? Describe whether this is greater charge, equal charge, or less charge than the amount of charge they each would draw from the battery separately. Explain why this make sense from conservation of energy or conservation of charge perspectives. 1.6. If both capacitor A and capacitor B were hooked up in parallel to a 240V battery, what would be the total charge that they would draw from the battery? Describe whether this is greater charge, equal charge, or less charge than the amount of charge they each would draw from the battery separately. Explain why this make sense from conservation of energy or conservation of charge perspectives.

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