What capacitance is needed to store 3.00μC of charge at a voltage of 120 V?
The capacitance needed to store 3μC3\mu C3μC of charge when 120120120 volts is applied can be found by taking the charge divided by the voltage.
That is
C=3.00μC×[[10−6C1μC]]120V\displaystyle C=\frac{3.00 \mu C\times \left[\left[\frac{10^{-6}C}{1\mu C}\right]\right]}{120V}C=120V3.00μC×[[1μC10−6C]]
C=2.50×10−8F{1nF10−9F}\displaystyle C=2.50\times10^{-8}F\left\{\frac{1nF}{10^{-9}F}\right\}C=2.50×10−8F{10−9F1nF}
C=25.0nFC=25.0nFC=25.0nF
which is the capacitance needed.
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