A) Consider a circular surface oriented parallel to the y z plane, whose center

Question

A) Consider a circular surface oriented parallel to the y z plane, whose center is at x = 5 m and with a radius of 0.62 m (let nˆ point in the +x direction). What is the flux through this surface due to an electric fieldgivenby,E =3xˆi+9xˆj?

B) A conducting spherical shell has an inner radius of 0.1 m and outer radius 0.14 m. There is a surface charge density of +8 × 105 C/m2 on the inner surface and a surface charge density of 7 × 105 C/m2 on the outer surface. What is the amount of charge (in C) contained in the cavity of the spherical shell, if any?

C)

Consider a solid, spherical insulator with a positive and constant charge density and centered at the origin. What is true concerning the magnitude of the electric field inside the sphere? Let r be the distance from the origin.

(a) Inside the sphere, the electric field decreases as r increases. (b) The electric field is zero inside the sphere.

(c) Inside the sphere, the electric field increases as r increases. (d) The electric field is constant, but non-zero inside the sphere.

Explanation / Answer

C)

Option A

the magnitude of the field decreases as r increases with inverse square law

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