(Solved): What is the electric field at the center of the circle due to these point charges? (Express your a ...

What is the electric field at the center of the circle due to these point charges? (Express your answer in vector form. Use the following as necessary: \( k_{e}, q \), and \( r . \) ) \[ \overrightarrow{\mathbf{E}}=\frac{3 k e^{q}}{r^{2}}(-\mathbf{j}) \] What If? What is the minimum electric field magnitude that could be obtained at the center of the circle by moving one or more of the charges along the circle, with a minimum separation of \( 3.70^{\circ} \) between each of the charges? Express your result as the ratio of this new electric field magnitude to the magnitude of the electric field found in part (a). \( \frac{E_{\text {minimum }}}{E_{\text {part }(a)}}= \)