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Question

please just give me the finnal answer

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a https://session.masteringphysics.com/myct/itemView?offset-next&assignmentProblemID-50364482; PHY 262 Summer 15 HW3Exercise 22.16 Help | Close Resources « previous 9 of 12 |next Part A Exercise 22.16 Calculate the total electric charge on the planet. 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 3.67x1016 N m2/C into the planet's surface Submit My Answers Give Up Part B Calculate the magnitude of the electric field at the planet's surface (refer to the astronomical data inside the back cover) N/C Submit My Answers Give Up Part C Find the direction of the electric field at the planet's surface It points toward the center of Mars It points away from the center of Mars Submit My Answers Give Up

Explanation / Answer

a)

here by using the formula

q = e0 * electric flux

e0 = 8.85 * 10^-12 C^2 / N m^2

q = 8.85 * 10^-12 * 3.67 * 10^16

q = 3.25 * 10^5 C

so the charge on the planet is 3.25 * 10^5 C

b)

here

E = k *q / r^2 = electric flux / A

the radius of mars is r = 3.40 * 10^6 m

E = electric flux / 4 * pie * r^2

E = 3.67 * 10^16 / ( 4 * 3.14 * 3.40 * 10^12 * 3.40)

E = 252.76 N /C

the electric field at the planet surface is 252.76 N/C

c)

it points away from the center of mars

d)

here

charge density = q /A

charge density = q / 4 * pie *r^2

charge density = 3.25 * 10^5 / 4 * 3.14 * 3.4 *3.4 * 10^12

charge density = 2.238 *10^-9 C/m^2

so the charge density on the mars is 2.238 * 10^-9 C/m^2