A 5-v battery is connected across the plates of a \(2.0\,\mu\text{F}\) uncharged parallel plate capacitor. The charge on the capacitor after a long time is
Question 1 Report
A 5-v battery is connected across the plates of a \(2.0\,\mu\text{F}\) uncharged parallel plate capacitor. The charge on the capacitor after a long time is
Answer Details
The charge stored in a capacitor is given by the formula Q = CV, where Q is the charge, C is the capacitance, and V is the voltage across the capacitor.
Initially, the capacitor is uncharged, so Q = 0. When the 5-volt battery is connected to the plates of the capacitor, the voltage across the capacitor becomes 5 V. Therefore, the charge on the capacitor becomes:
Q = CV = (2.0 μF)(5 V) = 10.0 μC
The charge on the capacitor will not change after a long time because a capacitor is an ideal device that stores charge without dissipating it. Therefore, the correct answer is 10.0μC.
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