EC > GATE 2022 > Electrostatics
In an electrostatic field, the electric displacement density vector, D⃗, is given by
D⃗(x, y, z) = (x3 î + y3 ĵ + xy2 k̂) C/m2,
where î, ĵ, k̂ are the unit vectors along x-axis, y-axis, and z-axis, respectively.
Consider a cubical region R centered at the origin with each side of length 1 m, and vertices at (±0.5 m, ±0.5 m, ±0.5 m). The electric charge enclosed within R is _________ C (rounded off to two decimal places).
D⃗(x, y, z) = (x3 î + y3 ĵ + xy2 k̂) C/m2,
where î, ĵ, k̂ are the unit vectors along x-axis, y-axis, and z-axis, respectively.
Consider a cubical region R centered at the origin with each side of length 1 m, and vertices at (±0.5 m, ±0.5 m, ±0.5 m). The electric charge enclosed within R is _________ C (rounded off to two decimal places).
Correct : 0.25
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