**Electric Field and Potential Difference**A uniform electric field of 400 V/m is directed at 37.0° below the x-axis as shown in the figure.- **Point A** is located at (-3.00 m, 0).- **Point C** is located at (0, 3.00 m).Find the potential difference:a) \(V_B - V_A\)b) \(V_B - V_C\)**Diagram Explanation:**The diagram contains a set of red parallel lines with arrows indicating the direction of the electric field, which slopes downward at a 37.0° angle below the horizontal x-axis. The y-axis is vertical. Points A, B, and C are marked as follows:- Point A is on the x-axis at (-3.00 m, 0).- Point B is on the origin (0,0).- Point C is on the y-axis at (0, 3.00 m).These points are marked by black dots on the graph.**Note:** You must show all work to receive full credit.

According to electrostatics coulomb force is a conservative force. So∇→×E→=0E→=-∇→V where E= electric field, V=electric potential For component of electric field along X-axis Ex=-dVdx For component of electric field along Y-axis, Ey=-dVdy Fr electric field makes an angle θ with x-axis Ex =E Cosθ Ey=ESinθGiven θ=37° E=400V/m Ex =E Cosθ=400 x Cos(37)=319.45 V/m Ey=-ESinθ=-400 x Sin(37)=-240.72 V/m a) Now A and B lies along X-axis. Distance between A and B is 3m. So Ex=-dVdx=-VB-VA-3-0=VB-VA3VB-VA=3×Ex=3×319.45=958.35 V VA-VB=-958.35 V b) Now B and C lies along X-axis. Distance between B and C is 3m. Ey=-dVdy=-VC-VB3-0VC-VB=-3Ey=-3×(-240.72)=722.16 V VB-VC=-722.16 V

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Physics

A uniform electric field of 400 V/m is directed at 37.0° below the x axis as shown in the figure. Point A is located at (-3.00 m, 0) and Point C is located at (0,3.00 m). Find the potential difference a) VB - VA b) VB - Vc

A uniform electric field of 400 V/m is directed at 37.0° below the x axis as shown in the figure. Point A is located at (-3.00 m, 0) and Point C is located at (0,3.00 m). Find the potential difference a) VB - VA b) VB - Vc

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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