Please show all work. Rate will be given once answers are comfirmed to be right.

Question

Please show all work. Rate will be given once answers are comfirmed to be right.

An infinitely-long, uniformly charged line of charge with linear charge density = 0.13,c/m lies a distance 0.031-m from the center of a sphere with radius R = 0.26-m. What is the amount of charge inside the sphere? Determine the total electric flux through the surface of the sphere from this charge. [SJ E07 24.15] 7. charge a. 0.06712.C b. 0.07008.C d. 0.07974C e. 0.1234 C f.0.05992 C 0.0722. 8. electric flux a. 15090000000 N.m2/C b. 7584000000 Nm2/C c. 6261000000 N m2/C d. 9637000000 N.m2/C 10990000000-Nrmyc f. 14710000000 N.m2/C JEDRP A large, flat, horizontal sheet of charge has a charge per unit area of 14.0 C/m. Find the electric field just above the middle of the sheet. [SJ E07 24.21] 9. a.7.910E+05 N/C b.-37260 N/C c.-3.625E+05 N/C d. 1.564E+05 N/C e. -5.099E+05 N/C f.3.951E+05 N/C JEDRU A 10-g piece of Styrofoam carries a net charge of 0.98-HC and floats above the center of a large, horizontal sheet of plastic that has a uniform charge density on its surface. What is the charge per unit area on the plastic sheet? [SJ E07 24.23] 10. b.1.825 uC/m2 c. 1.668 uC/m2 1.753-AC/m2 e. 1.922 uC/m2 2.848-LC/m2 JEGYN

Explanation / Answer

10](a)sigma = 1.77 uC/m^2

explanation:

We know that

F = mg

Also, F = q E

mg = q E => E = mg/q

Also for an infinite sheet,

E = sigma/2 e0

mg/q = sigma/2e0

sigma = 2 mg e0/q

sigma = 2 x 10 x 10^-3 x 9.8 x 8.85 x 10^-12/(0.98 x 10^-6) = 1.77 x 10^-6 C/m^2

Hence, (a)sigma = 1.77 uC/m^2

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