When a battery is connected to the plates of a 3.00-µF capacitor, it stores a charge of 27.0 µC. What is the voltage of the battery?
Q=27μC\mu CμC = 27×10−627 \times 10^{-6}27×10−6 C
C= -3.0 μF\mu FμF = -3.0 ×10−6\times 10^{-6}×10−6 F
V= voltage of the battery, C= system capacitance , Q= charge stored by the capacitor
Q=CVQ= CVQ=CV
V=QC=27×10−6C3.0×10−6FV=\frac{Q}{C}= \frac{27\times 10^{-6} C}{3.0\times 10^{-6}F}V=CQ=3.0×10−6F27×10−6C
V=9.0V
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