6physHW2 - Two htjtially uncharged capacitors of...

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Unformatted text preview: Two htjtially uncharged capacitors, of capacitance C' and EC, are connected ht series across a battery. Determine “hetllereaeh oft]: followhtg stfleroents is h'tte or false: 1* The charge across each capacitor is the same. it The energy:r stoted by each capacitor is the saute. 1* The volage across each capacitor is the same. 1* The EC capacitor carries twice the charge of the other capacitor. Solution: The mpacihh's are wnnecletl in series- This means that of all that they are equefly charged- {Thie statement is how we derive the equiv- alent capacitance formula for capacitors in series.) Becattee they‘re equally charged, the definition of capacitance as {3' E Qffl‘lfi' tells us that these two capacitors can’t have the same 1voltage. [II the}r hail the same charge and voltage, they‘d have to have the same capaci— tance-) Alan, since the eapacitances are clifi'erent but the charges are the shame, the encrgiea Innat he different? as shmtrtt by U = QEHEC. Thus the first statement is true, the rest are false. C 2C H ...
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