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At a distance $L$ from a fixed point charge, the electric field strength is $E$ and the electric potential is $V$ - AQA - A-Level Physics - Question 15 - 2020 - Paper 2

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At a distance $L$ from a fixed point charge, the electric field strength is $E$ and the electric potential is $V$. What are the electric field strength and the elec... show full transcript

Worked Solution & Example Answer:At a distance $L$ from a fixed point charge, the electric field strength is $E$ and the electric potential is $V$ - AQA - A-Level Physics - Question 15 - 2020 - Paper 2

Step 1

Electric field strength at a distance $3L$ from the charge

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Answer

The electric field strength EE due to a point charge varies inversely with the square of the distance. Therefore, at a distance r=3Lr = 3L, the electric field strength can be expressed as: E' = rac{E}{(3)^2} = rac{E}{9} Thus, the electric field strength at a distance 3L3L is E9\frac{E}{9}.

Step 2

Electric potential at a distance $3L$ from the charge

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Answer

The electric potential VV due to a point charge varies inversely with the distance. Therefore, at a distance r=3Lr = 3L, the electric potential can be expressed as: V' = rac{V}{3} Thus, the electric potential at a distance 3L3L is V3\frac{V}{3}.

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