A very large non-conducting sheet has uniform positive surface charge density σ. A small particle of mass m and charge q>0 is released from rest at distance d from the sheet. Neglect gravity. Its speed after moving an additional distance d away from the sheet is:
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Question

A very large non-conducting sheet has uniform positive surface charge density σ. A small particle of mass m and charge q>0 is released from rest at distance d from the sheet. Neglect gravity. Its speed after moving an additional distance d away from the sheet is:

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G1 Physics · Accepted Answer

The field of one infinite non-conducting sheet is E=σ/(2ε₀), constant. Over displacement d, work is qEd=qσd/(2ε₀). Set ½mv²=qσd/(2ε₀), giving v=√(qσd/(mε₀)).

A very large non-conducting sheet has uniform positive surface charge density σ. A small particle of mass m and charge q&gt;0 is released from rest at distance d from the sheet. Neglect gravity. Its speed after moving an additional distance d away from the sheet is:

A very large non-conducting sheet has uniform positive surface charge density σ. A small particle of mass m and charge q>0 is released from rest at distance d from the sheet. Neglect gravity. Its speed after moving an additional distance d away from the sheet is: