A $450 μ F$ capacitor is charged to 295 V. Then a wire is connected between the plates. Thermal energy are produced as the capacitor discharges if all of the energy that was stored goes into heating the wire is approximately $20 x J$ . What is the value of x.

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Solution

The stored energy in the capacitor will heat the wire.
Thus, energy stored, $U = \frac{1}{2} C V^{2} = \frac{1}{2} (450 \times 10^{- 6}) (295)^{2} = 19.6 J$

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A 450μF capacitor is charged to 295 V. Then a wire is connected between the plates. Thermal energy are produced as the capacitor discharges if all of the energy that was stored goes into heating the wire is approximately 20xJ. What is the value of x.

The stored energy in the capacitor will heat the wire. Thus, energy stored, U=12CV2=12(450×10−6)(295)2=19.6J

A $450 μ F$ capacitor is charged to 295 V. Then a wire is connected between the plates. Thermal energy are produced as the capacitor discharges if all of the energy that was stored goes into heating the wire is approximately $20 x J$ . What is the value of x.

The stored energy in the capacitor will heat the wire.
Thus, energy stored, $U = \frac{1}{2} C V^{2} = \frac{1}{2} (450 \times 10^{- 6}) (295)^{2} = 19.6 J$