Electrostatic Force and Equilibrium Consider a rhombus with side of length L. The rhombus has two...

Electrostatic Force and Equilibrium

Consider a rhombus with side of length L. The rhombus has two pair
of equal interior angles. Label one of these pair θ and the other φ. Four
identical, positive point charges, q are placed on the vertices of the rhombus.
Draw the configuration.

a) Obtain a symbolic expression for the electric field at one of the vertices
(your choice) and then at an adjacent vertex (Do you now know the electric
field at all of the vertices? Why/why not?). Does it matter that there is a
charge at the vertex? Comment on the direction of the electric field at your
two vertices. Does this make sense? Why?

b) We now allow the angles to vary, subject to the constraint that the figure
must remain a rhombus. Label one of the vertices P. What θ value and φ
value, (in degrees), minimizes the electric field at P . Hint: You should only
have to do one minimization, as there is a constraint between θ and φ.

c) Plot the magnitude of the electric field at P as a function of the angle
opposite P ( This will be θ or φ depending on how you labeled your figure).

Please show your work and explanation. Thanks for your help.

Solutions

Expert Solution

genius_generous answered 11 months ago

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