Consider an equilateral triangle, inscribed in a circle of radius a, with a point charge q...

Consider an equilateral triangle, inscribed in a circle of radius a, with a point charge q at each vertex. The electric field is zero at the center, but surprisingly there are three other points inside the triangle where the field is also zero. Where are they? Find the distance from these points to the center of the circle.

Please just get the answer to E in terms of a, x, and y. I only need you to solve up to the solution for E in terms of a, x, and y. Thank you!

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

1. Treacherous Triangle Trickery. Consider a charge distribution consisting of an equilateral triangle with a point...

1. Treacherous Triangle Trickery. Consider a charge distribution consisting of an equilateral triangle with a point charge q fixed at each of its vertices. Let d be the distance between the center of the triangle and each vertex, let the triangle’s center be at the origin, and let one of its vertices lie on the x-axis at the point x = −d. 1.1. Compute the electric field at the center of the triangle by explicitly computing the sum of the...

Does every hyperbolic triangle have an inscribed circle? Circumscribed circle?

Three point charges, q, 2q, and 3q, are at the vertices of an equilateral triangle of...

Three point charges, q, 2q, and 3q, are at the vertices of an equilateral triangle of sides a. If q= 15.8 nC and a= 11.1 cm, what is the magnitude of the electric field at the geometric center of the triangle? Please explain in details, in particular the trig to set up the equilateral triangle. I am confused.

Three point charges are located on the corners of an equilateral triangle 50cm side: The charge...

Three point charges are located on the corners of an equilateral triangle 50cm side: The charge q_1 = + 10µC is at the origin, The charge q_2 = + 9µC in the upper corner of the triangle, at charge q_3 = -6 µC located at the x axis What is the value of the potential energy of the system of the three charges?

Three point charges are located on the corners of an equilateral triangle 50cm side: The charge...

Three point charges are located on the corners of an equilateral triangle 50cm side: The charge q_1 = + 10µC is at the origin, The charge q_2 = + 9µC in the upper corner of the triangle, at charge q_3 = -6 µC located at the x axis. What is the total force (magnitude and direction) exerted on q_1

In two vertexes of an equilateral triangle located charge +q and –2q. Find vector of electric...

In two vertexes of an equilateral triangle located charge +q and –2q. Find vector of electric field in the third vertex if length of the side of the triangle is a. Diagram is a MUST.

Consider three point charges at the corners of an equilateral triangle, its base sitting on the...

Consider three point charges at the corners of an equilateral triangle, its base sitting on the x-axis, with charge qA positioned at the origin, qB is at x=+3.50 cm, and qC is at the (top) third corner. qC = +2.60 μC, and the net electric force on qC is 375.0 N in the negative y direction. a. Explain briefly but clearly how you know that qA and qB must have the same magnitude charge and what the sign of that...

Consider an equilateral triangle with sides measuring 1.0 m in length. At each point of the...

Consider an equilateral triangle with sides measuring 1.0 m in length. At each point of the triangle is a +2.0 ?C charge. Calculate the Coulomb force on each charge. Recall that forces are vectors and thus your answer will require a magnitude and direction for each of the three forces.

a. Consider a non-equilateral triangle. Try to create a tessellation around a point as you did...

a. Consider a non-equilateral triangle. Try to create a tessellation around a point as you did before. Be sure you have no gaps or overlaps. Do you think any triangle with tessellate? Why or why not? Defend your reasoning.

Two charges, + q and - q, occupy two corners of an equilateral triangle, as shown...

Two charges, + q and - q, occupy two corners of an equilateral triangle, as shown in FIGURE 19-51. (a) If q = 1.8 mC and r = 0.50 m, find the magnitude and direction of the electric field at point A, the other vertex of the triangle. Let the direction angle be measured counterclockwise from the positive x axis. (b) What is the total electric flux through the surface indicated in the figure? (c) Explain why Gauss’s law cannot...

Subjects