PHYSICSThe electric potential in a region that is within 2.00 m of the origin of a rectangular coordinate system is given by $V=A x^{\prime}+B y^{m}+\mathrm{Cz}^{\mathrm{n}}+\mathrm{D}$, where A, B, C, D, l, m, and n are constants. The units of A, B, C, and D are such that if x, y, and z are in meters, then is in volts. You measure V and each component of the electric field at four points and obtain these results: "
$$
\begin{matrix}\text{Point} & \text{(x, y, z) (m)} & \text{V (V)} & \mathrm{E_{x}(\mathrm{V} / \mathrm{m})} & \mathrm{E_{y}(\mathrm{V} / \mathrm{m})} & \mathrm{E_{z}(\mathrm{V} / \mathrm{m})}\\\text{1} & \text{(0, 0, 0)} & \text{10.0} & \text{0} & \text{0} & \text{0}\\\text{2} & \text{(1.00, 0, 0)} & \text{4.0} & \text{12.0} & \text{0} & \text{0}\\\text{3} & \text{(0, 1.00, 0)} & \text{6.0} & \text{0} & \text{12.0} & \text{0}\\\text{4} & \text{0, 0, 1.00)} & \text{8.0} & \text{0} & \text{0} & \text{12.0}\\\end{matrix}
$$
" (a) Use the data in the table to calculate A, B, C, D, l, m, and n. (b) What are V and the magnitude of E at the points (0, 0, 0), (0.50 m, 0.50m, 0.50 m), and (1.00 m, 1.00 m, 1.00 m)? 10th EditionJulio de Paula, Peter Atkins1,315 solutions

10th EditionDavid Halliday, Jearl Walker, Robert Resnick7,188 solutions

9th EditionJohn D. Cutnell, Johnson2,467 solutions

7th EditionJohn D. Cutnell, Kenneth W. Johnson3,157 solutions