23.17.

You are watching: In the figure the point charges are located at the corners of an equilateral triangle on a side

three equal hopeful charges q space at the corners of one equilaeral triangle of next a, as presented in figure P23.17.

(a) Assume the the three charges together creat an electric field. Discover the location of a allude (other than at infinity) whereby the electrical field is zero. (Hint: lay out the ar lines in the plane of the charges.)

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(b) What room the magnitude and direction the the electrical field in ~ P as result of the 2 charges at the base?

(a) Assume the the 3 charges together creat an electrical field. Find the ar of a point (other than at infinity) whereby the electrical field is zero. (Hint: map out the field lines in the aircraft of the charges.)

By symmetry, the ar is zero at the facility of the triangle.

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Use the symmetry is important!

(b) What are the magnitude and direction the the electric field in ~ P due to the two charges in ~ the base?

First, one associated, number problem:

Three suggest charges are located at the corners that an equilateral triangle together in number P23.17. Calculation the net electrical force on the 7.0 microCoulomb charge.

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Sometime, some world consider it simpler to fix numerical problems compared to symbolic problems. Typically, tho", signs are much easier to solve than numbers. Now, let"s go on with the inquiry as stated.

What are the magnitude and also direction the the electric field in ~ P because of the two charges in ~ the base?

(b) What space the magnitude and also direction that the electric field in ~ P as result of the two charges at the base?

Due come the fee on the left, over there is an electrical field El that has a magnitude of

El = k q / a2

Due come the charge on the right, there is an electrical field Erl that has a magnitude of

Er = k q / a2

The total or net electric field is the vector sum of these these two electrical fields,

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Which directions execute these individual electric field vectors point? do good diagrams!