Suppose there is a planet that has a uniformly massively charged Iron core with average charge density p, = 100 MC/m³ (MC=MegaCoulombs) and radius 10 km and outer radius 20 km. Note: You may want to use variables to solve the problem out at first and then only put in numbers at the end. E.g. the 10 km radius = R and the outer radius = 2R. a. Find the average charge density such that the planet generates no external electric field outside of the planet. b. Plot the Electric field a function of distance from the center out to 30 km.

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Gauss' Law Practice Problems
1. Suppose there is a planet that has a uniformly massively charged Iron core with average
charge density p, = 100 MC/m3 (MC=MegaCoulombs) and radius 10 km and outer
radius 20 km. Note: You may want to use variables to solve the problem out at first and
then only put in numbers at the end. E.g. the 10 km radius = R and the outer radius = 2R.
a. Find the average charge density such that the planet generates no external electric
field outside of the planet.
b. Plot the Electric field a function of distance from the center out to 30 km.
Transcribed Image Text:Gauss' Law Practice Problems 1. Suppose there is a planet that has a uniformly massively charged Iron core with average charge density p, = 100 MC/m3 (MC=MegaCoulombs) and radius 10 km and outer radius 20 km. Note: You may want to use variables to solve the problem out at first and then only put in numbers at the end. E.g. the 10 km radius = R and the outer radius = 2R. a. Find the average charge density such that the planet generates no external electric field outside of the planet. b. Plot the Electric field a function of distance from the center out to 30 km.
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