A parallel plate capacitor with 1 mm plate spacing has 5 puC on its plates when

Question

A parallel plate capacitor with 1 mm plate spacing has 5 puC on its plates when charged to 150 V. What is th plates area? 7. 10. Two capacitors contain equal amounts of energy, yet one has 4 times the capacitance of the other one. How do their voltages compare? a. 0.53 m b. 1.13 m2 c. 2.36 m Bigger capacitance capacitor has 4 times higher voltage than the other one Bigger capacitance capacitor has 2 times higher voltage than the other one Same voltages Smaller capacitance capacitor has 2 times higher voltage than the other one Smaller capacitance capacitor has 4 times higher voltage than the other one a. 1. b. e. 4.56 m c. The energy density in a uniform electric field is 6 Jim. What is the field strength? 8. d. a. a. 1.2 MN/C b. 3.3 MN/C c. 4.5 MN/C d. 6.7 MN/C e. 8.3 MN/C e. 11. How much energy is stored in a spherical shell radius R and uniformly charged with Q? Hint: Find the electric energy density as a function of radial distance first, and then integrate it over the whole space. SEE EXAMPLE 23.5 of YOUR TEXTBOOK 9. A parallel plate capacitor is said to carry a charge Q. What is the net charge on the entire capacitor? a. zero b. C. d. +2Q e. -2Q

Explanation / Answer

7) Capacitance is C = eo*A/d

But C = Q/V = (5*10^-6)/150 = 33.33*10^-9 F

eo is the permittivity of free space

d is the spacing between plates = 1 mm = 10^-3 m

33.33*10^-9 = (8.85*10^-12*A)/10^-3

A = 3.76 m^2

so answer is d) 3.77 m^2

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