The electric potential V is given as a function of distance ×( metre ) by V=(5x2+10x−4) volt.Question: Value of electric field at x=1 m
Question
The electric potential V is given as a function of distance ×( metre ) by V=(5x2+10x−4) volt.Question: Value of electric field at x=1 m
Solution
The electric field E is related to the electric potential V by the relation:
E = -dV/dx
where dV/dx is the derivative of the potential with respect to distance.
Given V = 5x^2 + 10x - 4, we first need to find the derivative of V with respect to x.
dV/dx = 10x + 10
Now, we can find the electric field at x = 1 m by substituting x = 1 into the equation for E:
E = -dV/dx = -(10*1 + 10) = -20 N/C
So, the electric field at x = 1 m is -20 N/C.
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