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Capacitance

Question

A capacitor of capacitance 1μF  withstands a maximum voltage of 6 kV, while another capacitor of capacitance 2μF  withstands a maximum voltage of 4kV. If they are connected in series, the combination can withstand a maximum of 

Moderate
Solution

Ceff=1×21+2μF=23μF Capacitor 1 can store a maximum charge 1μF×6kV=6mC . Capacitor 2 can store a maximum charge of 2μF× 4kV= 8mC. Since they are in series the charge in each capacitor = 6mc

        Ceff.Vmax=1μF×6kVVmax=9 kV 



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