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A 10-cm long rod carries a charge of +50 μC distributed uniformly along its length. Find the magnitude of the electric field at a point 10 cm from both ends of the rod.

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प्रश्न

A 10-cm long rod carries a charge of +50 μC distributed uniformly along its length. Find the magnitude of the electric field at a point 10 cm from both ends of the rod.

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उत्तर

E = `(2"k"λ)/("r")sin  θ/2`

`sin  θ/2 = 5/10 = 1/2`

`θ/2 = 30`

E = `2 xx 9 xx 10^9 xx 50/0.10 xx 1/2 xx sqrt(100 - 25)`

E = `2 xx 9 xx 10^9 xx 50/0.10 xx 1/2 xx sqrt75`

E = `2 xx 9 xx 10^9 xx 50/0.10 xx 1/2 xx 5sqrt3`

E = 5.2 × 107 V/m

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अध्याय 29: Electric Field and Potential - Exercises [पृष्ठ १२२]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 29 Electric Field and Potential
Exercises | Q 41 | पृष्ठ १२२

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