Electrostatics Question 381

Question: The electric potential $ V $ is given as a function of distance $ x $ (metre) by $ V=(5x^{2}+10x-9)volt $ . Value of electric field at $ x=1 $ is [MP PET 1999]

Options:

A) $ 20V/m $

B) $ 6V/m $

C) $ 11V/m $

D) $ -23V/m $

Show Answer

Answer:

Correct Answer: A

Solution:

$ E=-\frac{dV}{dx}=-\frac{d}{dx}(5x^{2}+10x-9)=-10x-10 $

at ${{} {x=1}}$

$=-10\times 1-10=-20V/m $



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