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A, B, C, D, P, and Q are points in a uni...

A, B, C, D, P, and Q are points in a uniform electric field. The potentials at these points are `V(A) = 2 V. V(P) = V( B) = V(D) = 5 V`, and `V(C) = 8 V`. Find the electric field at P.
.

A

10 V `m^(-1)` along PQ

B

5 V `m^(-1)` along PC

C

`15sqrt(2)` V `m ^(-1)` along PA

D

5 V `m^(-1)` along PA

Text Solution

Verified by Experts

The correct Answer is:
C
Electric field is higher voltage to lower voltage.
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Knowledge Check

  • A uniform electric field exists in x-y plane. The potential of points A (-2m, 2m), B(-2m, 2m) and C(2m, 4m) are 4V, 16 V and 1 2 V respectively. The electric field is

    A
    `(4hati + 5hatj) (V)/(m)`
    B
    `(3hati + 4hatj) (V)/(m)`
    C
    `-(3hati + 4hatj) (V)/(m)`
    D
    `(3hati + 4hatj) (V)/(m)`

  • Figure shows four points A, B, C and D in uniform electric field vec(E ) . The line AB and CD are perpendicular and BC and AD are parallel to the field lines. If V_(A), V_(B) , V_(C ) and V_(D) are electric potential at A, B,C,D choose the correct option.

    A
    `V_(A) = V_(B) = V_(C ) = V_(D)`
    B
    `(V_(A) = V_(B) ) gt (V_(C ) = V_(D) )`
    C
    `(V_(A) = V_(B)) lt (V_(C ) = V_(D))`
    D
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  • In uniform electric field E=10 N//C , find a. V_A-V_B , b. VB-V_C

    A
    `-10 V` and `20 V`
    B
    `10 V` and `-10 V`
    C
    `30 V` and `20 V`
    D
    `-10 V` and `40 V`

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