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The given figure shows an equilateral tr...

The given figure shows an equilateral triangle ABC. A positive point charge |q is located at each of the three vertical A, B and C. each side of the triangle is of length a.
A point charge Q (that may be positive or negative) is placed at the mid-point between B and C.

Is it possible to choose the value of Q (that is non-zero) such that the force on Q is zero ? Explain why or why not.

A

Yes, because the forces on Q are vector and three vectors can add to zero

B

No, because the forces on q are vectors and three vectors can never add to zero

C

Yes, because the electric force at the mid-point between B and C is zero whether a charge is placed there or not.

D

No, because a fourth charge would be needed cancel the force on Q due to the charge at A.

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The given figure shows an equilateral triangle ABC. A positive point charge |q is located at each of the three vertical A, B and C. each side of the triangle is of length a. A point charge Q (that may be positive or negative) is placed at the mid-point between B and C. Determine an expression for the magnitude and sign of Q so that the net force on the charge at A is zero newtons.

    A
    `Q = +q((3sqrt(3))/(4))`
    B
    `Q = -q((3sqrt(3))/(4))`
    C
    `Q = -q((4sqrt(3))/(4))`
    D
    `Q = +q((3)/(4sqrt(3)))`

  • ABC is an equilateral triangle. Charges +q are placed at each corner. The electric intensity at O will be

    A
    `(1)/(4 pi epsilon_(0))(q)/(r^(2))`
    B
    `(1)/(4piepsilon_(0))(q)/(r)`
    C
    Zero
    D
    `(1)/(4piepsilon_(0))(3q)/(r^(2))`

  • ABC is an equilateral triangle. Charges -2q are placed at each corner. The electric intensity at O will be

    A
    `(1)/(4 pi epsi_(0)) (q)/(r^(2))`
    B
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    D
    `(1)/(4 pi epsi_(0)) (3q)/(r^(2))`

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