Answer to Question #153811 in Classical Mechanics for Sneha

Question

Charge needed within a unit sphere centуred at the origin for producing a potential field V=-6r^5/E0 where r less than or equal to 1

Answer 1

Solution

We know relationship between electric field and potential is given by

$E=-\frac{dV}{dr}=\frac{30r^4}{\epsilon_0}=\frac{q}{4\pi \epsilon_0 r^2}$

Using r=1meter

$q=12pC$