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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 $3L$

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Answer

The electric field strength due to a point charge decreases with the square of the distance. Thus, at a distance of 3L3L, the electric field strength is calculated as:

E_{3L} = rac{E}{(3)^2} = rac{E}{9}

So, the electric field strength is E9\frac{E}{9}.

Step 2

Electric potential at a distance $3L$

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Answer

The electric potential due to a point charge decreases linearly with distance. At a distance of 3L3L, the electric potential is:

V_{3L} = rac{V}{3}

Therefore, the electric potential is V3\frac{V}{3}.

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