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i) If the total charge enclosed inside a Gaussian surface is zero, then E everywhere on...

i) If the total charge enclosed inside a Gaussian surface is zero, then E everywhere on the Gaussian surface must be zero. Circle one: True, False. Explain very briefly if you wish:

ii) A spherical region (radius R, centered on the origin) has electric field E(r)=0 throughout. The voltage V(r) must also vanish throughout that region. Circle one: True, False. Explain very briefly if you wish:

iii) A spherical region (radius R, centered on the origin) has voltage V(r) = 0 throughout. The Electric field E(r) must also vanish throughout that region. Circle one: True, False. Explain very briefly if you wish:

iv) If you have a charge distribution that is non-zero and uniform inside a cube centered at the origin and zero outside the cube, then ∇⋅  E=0everywhere in all space. Circle one: True, False. Explain very briefly if you wish:

v) If you have a charge distribution that is non-zero and uniform inside a cube centered at the origin and zero outside the cube, ∇×  E=0 everywhere in all space. Circle one: True, False. Explain very briefly if you wish:

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