3. Consider two points very close to the surface of a conductor, with point A ou

Question

3. Consider two points very close to the surface of a conductor, with point A outside of the conductor and point B inside. At this scale, does the electric field outside the surface of a conductor vary significantly with position? Explain. a. Zoomed in diagram b. Consider a pinwheel at the boundary of the conductor. Does this pinwheel give us information about the perpendicular or parallel component of the electric field at point A? Explain. i. ii. In electrostatics,Vx: 0, so the pinwheel can never spin. What does this imply about the direction of electric field at point A? c. Consider a Gaussian surface at the boundary of the conductor. Does this Gaussian surface give us information about the perpendicular or parallel component of the electric field at point A? Explain. i. ii. Is it possible for the electric field to have a source or a sink within the Gaussian surface? d. The potential at every point on the surface of the conductor is the same. In what direction(s) relative to the surface could the gradient of the electric potential point? i. ii. What does this imply about the electric field near the surface of the conductor?

Explanation / Answer

3.

Just outside surface of conductor electric field is nonezero and its direction is perpendicular to surface . But inside conductor electric field is zero

So

A. Electric field out side conductor vary with the postion . If we ralk about field just outside surface the conductor can be treated like an infinite surface but if we go to infinitely large distance we cane treat the conductor like a point source

B. i.)The elwctric field is perpendicular to surface of conductor and uniform (just outside surface ) sofield will be along vertical upward wing .

ii) since field is uniform and perpendicular so net torque will be zero (or field has no curl ) thus flywheel wont rotate

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