A clock face has negative point charges  - q, - 2q, - 3q, ....., - 12q fixed at the positions of the corresponding numerals. The clock hands do not perturb the net field due to the point charges. At what time does the hour hand point in the same direction as the electric field vector at the centre of the dial?

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clock fig

Direction of electric field at center is

clock fig

θ = 15o

The hour hand should be midway of between 9 and 10

∴ = Time 9 : 30

The time is 9:30 when the hour hand point in the same direction as the electric field vector at the centre of the dial

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