All Problems

Electric Capacitance, Energy of an Electric Field

Problem 3.114

A capacitor of capacitance C1=1.0μFC_{1}=1.0 \mu \mathrm{F} withstands the maximum voltage V1=6.0kVV_{1}=6.0 \mathrm{kV} while a capacitor of capacitance C2=2.0μF,C_{2}=2.0 \mu \mathrm{F}, the maximum voltage V2=4.0kV.V_{2}=4.0 \mathrm{kV} . What voltage will the system of these two capacitors withstand if they are connected in series?

Reveal Answer
VV1(1+C1/C2)=9kVV \leqslant V_{1}\left(1+C_{1} / C_{2}\right)=9 \mathrm{kV}