Question

Equipotential Surfaces in a Capacitor

x.øi5stionPART A)Is the electric potential energy of a particle with charge q the sameat all points on an equipotential surface?

Yes
No

PART B)What is the work required to move a charge around on an equipotential surface at potential V with constant speed?

Work =

PART C)What is the work done by the electric field on a charge as it moves along an equipotential surface at potential V?

Work done by the electric field =

PART D)The work W_E done by the uniform electric field E_vec in displacing a particle with charge q along the path d_vec is given by W_E = q vec{E} cdot vec{d} = q |vec{E}||vec{d}| cos{theta} ,where theta is the angle between E_vec and d_vec. Since in general, vec{E} is not equal to zero, for points on an equipotential surface, what musttheta be for W_E to equal 0?Express your answer in radians.

theta=

PART E)185970A.jpgFind the electric potential V(x,y,z) at apoint {rm X} = (x,y,z) inside thecapacitor if the origin of the coordinate system {rm O} = (0,0,0) is at potential  0.Express your answer in terms of some or all of the varikžs, x

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