Sapling Learning Each shot of the laser gun most favored by Rosa the Closer, the

Question

Sapling Learning Each shot of the laser gun most favored by Rosa the Closer, the intrepid vigilante of the lawless 22nd century, is powered by the discharge of a 1.65-F capacitor charged to 58.1 kV. Rosa rightly reckons that she can enhance the effect of each laser pulse by increasing the electric potential energy of the charged capacitor. This she would do by replacing the capacitor's filling, whose dielectric constant is 483, with one possessing a dielectric constant of 981 Find the electric potential energy of the original capacitor when it is charged. Incorrect. It looks like you multiplied by the original Number 1.345x 1012 J dielectric constant, but it is álready included in the original capacitance Calculate the electric potential energy of the upgraded capacitor when it is charged. Number 2.7319x 101 J Ex O Previous # Try Again O Next Give Up & View Solution

Explanation / Answer

a)

electric potential energy with out dielectric is

U=(1/2)CV2=(1/2)*1.65*(58.1*103)2

U=2.785*109J

b)

capacitance with dielectric

Cd=KC=1.65*(981/483)=3.35 F

electric potential energy with dielectric

U=(1/2)*3.35*(58.1*103)2

U=5.656*109 J

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