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The equation of an equipotential line in...

The equation of an equipotential line in an electric field is ` y = 2 x `, then electric field strength vectro at `1, 2` may be .

A

` 4 hat I + 3 hat j`

B

` 4 hat I + 8 hat j`

C

` 8 hat I + 4 hat I + 4 hat j`

D

` - 8 hat I + 4 hat j`

Text Solution

Verified by Experts

The correct Answer is:
D
Electric field will be perpendicyalr line ` y= 2x ` so it will have slope ` m =- 1/2`.
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Knowledge Check

  • The potentaial function of an electrostatic field is given by V = 2 x^2 . Determine the electric field strength at the point (2 m, 0, 3 m) .

    A
    `vec E = 4 hat i(NC^-1)`
    B
    `vec E = -4 hat i(NC^-1)`
    C
    `vec E = 8 hat i(NC^-1)`
    D
    `vec E = -8 hat i(NC^-1)`

  • A suitble unit for expressing electric field strength is

    A
    `V//C`
    B
    `C//m^(2)`
    C
    `Am`
    D
    `N//C`

  • a suitable unit for expressing electric field strength is

    A
    `(V)/(C)`
    B
    A - m
    C
    `C // m^(2)`
    D
    N/C

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    The force exerted on a 3 C of charge placed at a point in an electric field is 9 N. Calculate the electric field strength at the point.

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