Answer :

Capacitance of a charged capacitor(C) = 4 μF = 410-6F

Voltage supplied to the capacitor (V) = 200 V


Electrostatic energy of the capacitor (E) = CV2 = = 810-2 J


Capacitance of an uncharged capacitor (C’) = 2 μF = 210-6F


When both the capacitors are connected in a circuit, then initial charge on charged capacitor is equal to the final charge on both the capacitors in circuit. (According to law of conservation of charges)


Since, Charge = Voltage Capacitence


Therefore, CV = (C + C’) V’, where V’ is the voltage in the circuit when both capacitors are connected.


410-6F200V = (410-6F + 210-6F) V’



V = V


Now, Electrostatic energy for the combination of two capacitors = 1/2 (C + C’)V’2



U = 5.3310-2 J


Thus, the electrostatic energy of the first capacitor is lost in the form of heat and electromagnetic radiation = 810-2 J-5.3310-2 J = 6.6710-2J


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