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Poblem 16E Some planetary scientists have suggested that
Chapter 22, Problem 16E(choose chapter or problem)
Poblem 16E 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 X 1016 N ? m2/C at the planet’s surface. Calculate: (a) the total electric charge on the planet; (b) the electric field at the planet’s surface (refer to the astronomical data inside the back cover); (c) the charge density on Mars, assuming all the charge is uniformly distributed over the planet’s surface.
Questions & Answers
QUESTION:
Poblem 16E 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 X 1016 N ? m2/C at the planet’s surface. Calculate: (a) the total electric charge on the planet; (b) the electric field at the planet’s surface (refer to the astronomical data inside the back cover); (c) the charge density on Mars, assuming all the charge is uniformly distributed over the planet’s surface.
ANSWER:Solution 16E Step 1 of 4: The mars planet has magnetic field which produces the net flux 16 2 e 3.63 × 10 N.m /C at the planet’s surface. We need to calculate the Part(a) the total electric charge on the planet q= Using Gauss’s law. For part(b) by using relation between flux and electric field we can calculate the electric field at the planet’s surface E= and in part(c) we need to calculate the surface charge density on the mars = Given , 16 Electric flux, e= 3.63 × 10 N.m /C 2 Radius of mars, r=3.4 × 10 m6 Permittivity of free space, 0= 8.854 × 10 12F/m To find (a) Charge on mars, q= (b) Electric field at the planet’s surface E= (c) surface charge density on the mars =