Potential Gradient and Relation between Electric Field and Potential
If the electr...
Question
If the electric potential along a line due to a charge is given by V(r)=25r+3, where r is the distance from the charge, what is the electric field at a point r = 5 along this line?
A
−1NC
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B
1NC
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C
5NC
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D
−5NC
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Solution
The correct option is A−1NC We are given an r dependent equation for potential. So we can directly find a relation for potential by differentiating the V equation.
\(V(r) = \frac{25}{r} +3\) E(r)=−dVdr ∴Er=−25r2
At r = 5, E(5)=−2525 E(5)=−1NC