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Ch 22: Gauss' Law
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All textbooksYoung & Freedman Calc 14th EditionCh 22: Gauss' LawProblem 16

Chapter 22, Problem 16

Some planetary scientists have suggested that the planet Mars has an electric field somewhat similar to that of the earth, producing a net electric flux of −3.63×1016 N·m2/C at the planet's surface. Calculate: (a) the total electric charge on the planet;

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Welcome back everybody. We are taking a look at a spherical asteroid that produces a net electric flux of 5.26 times to the sixth Newton meter squared per cool. Um and we are tasked with finding what the net charge is for this asteroid. Well, according to God's Law, we know that the flux is equal to the charge enclosed, divided by the electric primitively constant. Now the charge and close that is going to be exactly our net charge that we are looking for. So if I multiply both sides of our equation by our electric Perma titty constant, we get that. Our net charge is equal to the electric flux times the electric purgative itty constant. So let's go ahead and plug in all of our numbers here we have that. The net charge is equal to 5.26 times to the sixth times 8. times 10 to the negative 12. Which when you plug into your calculator, you get 4.65 times 10 to the third columns corresponding to our answer choice of D. Thank you all so much for watching. Hope this video helped. We will see you all in the next one
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A charged paint is spread in a very thin uniform layer over the surface of a plastic sphere of diameter 12.0 cm, giving it a charge of −49.0 μ C. Find the electric field (b) just outside the paint layer;
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The nuclei of large atoms, such as uranium, with 92 protons, can be modeled as spherically symmetric spheres of charge. The radius of the uranium nucleus is approximately 7.4×10−15 m. (a) What is the electric field this nucleus produces just outside its surface?
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Textbook Question
The nuclei of large atoms, such as uranium, with 92 protons, can be modeled as spherically symmetric spheres of charge. The radius of the uranium nucleus is approximately 7.4×10−15 m. (c) The electrons can be modeled as forming a uniform shell of negative charge. What net electric field do they produce at the location of the nucleus?
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Textbook Question
Some planetary scientists have suggested that the planet Mars has an electric field somewhat similar to that of the earth, producing a net electric flux of −3.63×1016 N·m2/C at the planet's surface. Calculate: (b) the electric field at the planet's surface (refer to the astronomical data inside the back cover);
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Textbook Question
Some planetary scientists have suggested that the planet Mars has an electric field somewhat similar to that of the earth, producing a net electric flux of −3.63×1016 N·m2/C at the planet's surface. Calculate:(c) the charge density on Mars, assuming all the charge is uniformly distributed over the planet's surface.
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Textbook Question
A hollow, conducting sphere with an outer radius of 0.250 m and an inner radius of 0.200 m has a uniform surface charge density of +6.37×10−6 C/m2. A charge of −0.500 μC is now introduced at the center of the cavity inside the sphere. (a) What is the new charge density on the outside of the sphere?
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