A non-uniform electric field in x -direction is increasing uniformly from 2 N / C at x = 1 m to 8 N / C at x = 7 m . The center of cube is at x = 2 m . If the charge enclosed inside a small cube of si

Question

A non-uniform electric field in x -direction is increasing uniformly from 2 N / C at x = 1 m to 8 N / C at x = 7 m . The center of cube is at x = 2 m . If the charge enclosed inside a small cube of side length 10 cm is 8.85 × 1 0 − 5 n C . The value of n will be.

TestHub · Accepted Answer

Electric field is increasing uniformly according to $∣ E ∣ = 1 + x$ total flux $= + E_{2} A - E_{1} A$ $= [(1 + x_{2}) - (1 + x_{1})] A$ $= (x_{2} - x_{1}) A = (10 cm) (100 cm^{2}) = 1 0^{- 3} m^{3}$ $Q_{enc} = 1 0^{- 3} ϵ_{0} = 8.85 \times 1 0^{- 15} C$

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JEE Advanced (2028)