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`RC-2`

A half ring of charge lies in the

`x-z`

plane with its center at the origin as shown to the right. There are

`\lambda `

coulombs per meter of charge evenly distributed along the ring, which has radius '

`a`

'. a) Sketch on your paper figures like the figures shown to the right. On your figures show an arrow representing the electric field at the point

`P`

that is produced by source charge element dq. b) Use Coulomb's law to calculate the magnitude of the

`x,y`

and

`z`

components of the total electric field at

`P`

due to the half ring of charge. If any component is equal to zero, you may use the symmetry argument to explain why it is zero instead of doing the calculations.