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Q. 61

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 656

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Short Answer

Show that an infinite line of charge with linear charge density exerts an attractive force on an electric dipole with magnitude . Assume that, the distance from the line, is much larger than the charge separation in the dipole.

We've shown that exerts an attractive force on an electric dipole

See the step by step solution

Step by Step Solution

Step 1 : Given information and formula used

Given :

Linear charge density :

Exerts an : Attractive force

Electric dipole magnitude :

Theory used :

Electric field at a distance is given by :

Force,

Step 2 : Showing that an infinite line of charge exerts an attractive force on an electric dipole 

We know that due to infinite long lines, there is an electric field at a distance .

So :

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