1) A 3.0 cm × 6.0 cm rectangle lies in the x z -plane. Part A What is the magnit

Question

1) A 3.0 cm × 6.0 cm rectangle lies in the xz-plane.

Part A

What is the magnitude of the electric flux through the rectangle if E =(110^200k^)N/C?

Part B

What is the magnitude of the electric flux through the rectangle if E =(110^200^)N/C?

2) A 20-cm-radius ball is uniformly charged to 62 nC.

Part A

What is the ball's volume charge density (C/m3)?

Part B

How much charge is enclosed by spheres of radii 5, 10, and 20 cm?

Part C

What is the electric field strength at points 5, 10, and 20 cm from the center?

3) A spherical shell has inner radius Rin and outer radius Rout. The shell contains total charge Q, uniformly distributed. The interior of the shell is empty of charge and matter.

Part A

Find the electric field strength outside the shell, rRout.

Part B

Find the electric field strength in the interior of the shell, rRin.

Part C

Find the electric field strength within the shell, RinrRout.

Explanation / Answer

1. A = (0.03 x 0.06 )m^2

A = 0.0018 m^2 j^

(A) E = 110 i^ - 200 k^  

flux = E.A = (110 x 0) + ( 0 x 0.0018) + (-200 x 0)

= 0

(B) E = 110i^ - 200 j^

flux = (110 x 0) + (-200 x 0.0018) = - 0.36 N m^2 / C

magnitude of flux = 0.36 N m^2 / C

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