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The electric potential V at any point (x...

The electric potential V at any point (x, y, z) in space is given by `V =3x^2` where x, y, z are all in metre. The electric field at the point (1 m, 0,2 m) is

A

a. `6 V m^(-1)` along negative x-axis

B

b. `6 V m^(-1)` m along positive x-axis

C

c. 12 `V m^(-1)` makong negative x-axis

D

d. 12 `V m^(-1)` along positive r-axis

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The electric potential V as a function of distance x (meters) is given by V=(5x^(2)+10x-9) volt. The value of electric field at a point x=1m is

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    B
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  • The electric field E and potential V at a point are related to one another as :

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    `e=(dV)/(dr)`
    C
    `E=-(dV)/(dr)`
    D
    `E=+(dr)/(dV)`

  • A 100 W bulb produces an electric field of 2.9 V/m at a point 3m away. If the bulb is replaced by 400 W bulb without disturbing other conditions. Then the electric field produced at the same point is

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