Space vehicles traveling through Earth\'s radiation belts canintercept a signifi

Question

Space vehicles traveling through Earth's radiation belts canintercept a significant number of electrons. The resulting chargebuildup can damage electronic components and disrupt operations.Suppose a spherical metallic satellite 1.5 m in diameteraccumulates -1.9 µC of charge in one orbital revolution.(a) Find the resulting surface charge density.(b) Calculate the magnitude (in N/C) of theelectric field just outside the surface of the satellite, due tothe surface charge.

(a)

Number

Units

(b)

Number

Units

(a)

Number

Units

CC·mC/m^3C/m^2C/mnCmCCAA·m^2A/m^2mAA/mA/sN·m^2/CpC

Explanation / Answer

a) charge density = charge / area =   -1.9 x 10-6 / 4 *0.752   = .          =   - 2.688 x10-7 C/m2 . b)   E = k q / r2 = 8.99 x109 * 1.9 x 10-6 / 0.752 =   30366N/C . b)   E = k q / r2 = 8.99 x109 * 1.9 x 10-6 / 0.752 =   30366N/C

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