
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A thin ring with a radius of $0.1 \mathrm{~m}$ has a uniformly distributed electric charge. What is the charge if the maximum electric field along the symmetry axis of the ring is $8 \cdot 10^{4} \sqrt{3} \mathrm{~V} / \mathrm{m}$? What is the electric field at a distance of $0.2 \mathrm{~m}$ from the center?

Present the answer in LaTex format: \boxed{Your answer}
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