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The gravitational field due to a mass distribution is given by `vec(l)=(k)/(x^(2))hat(i)`, where k is a constant. Assuming the potential to be zero at infinity, find the potential at a point x = a. |
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Answer» We know, `dV= -vec(l).vec(dr)` `rArr dV=-(k)/(x^(2))dx` `rArr int dV =-k int (dx)/(x^(2))` `rAr V=(k)/(x)+C` When `x = prop, V = 0 rArr C = 0` `rArr V=(k)/(x)` `therefore` At `x = a, V=(k)/(a)` |
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