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A nervous physicist worries that the two metal shelves of his wood frame bookcase might obtain a high voltage if charged by static electricity, perhaps produced by friction. (a) What is the capacitance of the empty shelves if they have area $1.00 \times 10^{2} \mathrm{m}^{2}$ and are 0.200 $\mathrm{m}$ apart? (b) What is the voltage between them if opposite charges of magnitude 2.00 $\mathrm{nC}$ are placed on them? (c) To show that this voltage poses a small hazard, calculate the energy stored.

a) $4.43 \times 10^{-9} \mathrm{F}$b) 0.45 $\mathrm{V}$c) $4.48 \times 10^{-10} \mathrm{J}$

Physics 102 Electricity and Magnetism

Chapter 19

Electric Potential and Electric Field

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Rutgers, The State University of New Jersey

University of Washington

McMaster University

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um, the mental shelter, similar to the parallel plate capacitor serving the plates will store energy if George is provided on the parallel plates off the campus, it So first, the formula for calculating the capacitance off the capacitor is Absalon not multiplied by AARP. On the Absalon is three positivity off. The free space is the area, and it is the distance between the developed plate. So we have permitted Vitti is 8.85 and 10 to the power minus 12. And area is one into 10 to the power to meet the square. And there. Is there a point to media so bad? Uh, capacitance off the capacitor is 4.43 into 10 to the power minus nine ferrets. Let's take capacitance off the capacitor. Now. Um, the voltage can be calculated using the relation physical toa que upon. See you with the charge. And so you think capacitance. So we have charges. Two into 10 to the power minus nine. Cool. Lump upon capacitance is foreign. 4.43 and 2 10 to depart minus night. That it's that is equal to 0.45 wasin the value of the voltages 0.45 balls and then on the energy stored in the capacitor is uh huh half C B square. So we have capacities is 4.4 to 5 to 10 to the power minus nine Farage. And, um, he is 0.45 Bold, whole square, that is four point for it into tend to deform. I understand. She will. Hence the energy stored in the capacity rest four point for it into 10 to depart my instance Jew.

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