Capacitor A and capacitor B both have the same voltage across theirplates. Howev
ID: 1754811 • Letter: C
Question
Capacitor A and capacitor B both have the same voltage across theirplates. However, the energy of capacitor A can meltm kilograms of ice at 0 degrees C, while the energyof capacitor B can boil away water at 100 degrees C. (a)Which requires more energy, melting the ice or boiling the water? (b) Which capacitor has greater capacitance? Explainyour answers.The capacitance of capacitor A is 9.3 X10-6 F. What is the capacitance of capacitorB? Be sure your answer is consistent with your answers to theConcept Questions.
Any explanation is greatly appreciated!
The capacitance of capacitor A is 9.3 X10-6 F. What is the capacitance of capacitorB? Be sure your answer is consistent with your answers to theConcept Questions.
Any explanation is greatly appreciated!
Explanation / Answer
Water requires 2257 kJ/kg to change from liquid to steam. (ieboil). To change from ice to liquid water it takes333.55 kJ/kg. It take more energy to boil waterthan to melt ice. This means that capacitor B has thegreater capacitance. Now the work done to charge a capcitoris found by this equation. W=Q^2/2C. Q is the charge and C isthe Capcitance. This can also be rewritten as.5*C*V^2. this is also the potencial energy thatis stored in the capacitor. So to find capcitance of B you must find the voltage. 333.55 kJ=333550 J 333550 J=.5*9.3*10^-6*V^2 V=267826 Volts 2257000=.5*C*267826^2 C=6.3*10^-5 F for B
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