
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
On a thin, rigid insulating ring with a radius $R$, a charge $Q$ is uniformly distributed. What will be the magnitude and direction of the magnetic field at the center of the ring if the ring is rotated around one of its symmetry axes in its plane with an angular velocity $\omega$?

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