Each shot of the laser gun most favored by Rosa the Closer, the intrepid vigilan

Question

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 1.07-F capacitor charged to 67.3 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 475, with one possessing a dielectric constant of 985. Find the electric potential energy of the original capacitor when it is charged.Calculate the electric potential energy of the upgraded capacitor when it is charged.

Explanation / Answer

E1 = ½CV² = ½(1.07)(67300)²=2423170150 changing the dielectric constant changes the capacitance by that factor E2 = ½CV² = ½(1.07)(985/475)(67300)² = 5024889679

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