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A charge Q is uniformly distributed over...

A charge Q is uniformly distributed over a rod of length `iota`. Condider a hypothetical cube of edge `iota` with the centre of the cube at one end of the rod. Find the minimum possible flux of the electric field through the entire surface of the cube.

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To solve the problem, we will follow these steps: ### Step 1: Understand the Configuration We have a rod of length \( L \) with a total charge \( Q \) uniformly distributed along its length. We consider a cube of edge length \( L \) whose center is located at one end of the rod. This means that half of the cube (length \( L/2 \)) extends into the rod. ### Step 2: Determine the Charge Density The linear charge density \( \lambda \) of the rod can be calculated as: \[ ...
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HC VERMA-GAUSS LAW-Exercises
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  2. A charge Q is uniformly distributed over a rod of length iota. Condide...

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  3. Show that there con be no net charge in a region in which the electric...

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  4. The electric field in a region is given by vecE=E0x/iota veci. Find th...

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  5. A charge Q is placed at the centre of a cub. Find the flux of the elec...

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  6. A charge Q is placed at a distance alpha/2 above the centre of a horiz...

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  7. Find the fluz f the electric field through a spherical surface of radi...

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  8. A charge Q is placed at the centre of an inaginary hemispherical surfa...

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  14. Find the magnitude of the electric field at a point 4 cm away from a l...

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  15. A long cylindrical wire carries a positive charge of linear density 2....

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  16. A long cylindrical volume contains a uniformly distributed charge of d...

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  18. A charged partical having a charge of -2.0 xx 10^(-6) C is placed cl...

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