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1. Two point charges are located on the x-axis as shown, a +2 µC charge at x = -5 cm, and a - 2µC charge at x =+5 cm. (a) Calculate the electric potential at the origin, x= y = 0 cm. (b) For what values of x and y would the electric potential be the same as at the origin? (c) Based upon this equipotential line, what direction should the Electric field be in along this line? (d) If another point charge is placed at y =+5 cm, find the electric potential energy of this particle if it has a total charge of +2 nC.

1. Two point charges are located on the x-axis as shown, a +2 µC charge at x = -5 cm, and a - 2µC charge at x =+5 cm. (a) Calculate the electric potential at the origin, x= y = 0 cm. (b) For what values of x and y would the electric potential be the same as at the origin? (c) Based upon this equipotential line, what direction should the Electric field be in along this line? (d) If another point charge is placed at y =+5 cm, find the electric potential energy of this particle if it has a total charge of +2 nC.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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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Please answer question (d)
1. Two point charges are located on the x-axis as shown, a +2 µC charge at x = -5 cm, and a - 2µC charge at x=+5 cm. (a) Calculate the electric potential at the origin, x=y = 0 cm. (b) For what values of x and y would the electric potential be the same as at the origin? (c) Based upon this equipotential line, what direction should the Electric field be in along this line? (d) If another point charge is placed at y =+5 cm, find the electric potential energy of this particle if it has a total charge of +2 nC.
Transcribed Image Text:1. Two point charges are located on the x-axis as shown, a +2 µC charge at x = -5 cm, and a - 2µC charge at x=+5 cm. (a) Calculate the electric potential at the origin, x=y = 0 cm. (b) For what values of x and y would the electric potential be the same as at the origin? (c) Based upon this equipotential line, what direction should the Electric field be in along this line? (d) If another point charge is placed at y =+5 cm, find the electric potential energy of this particle if it has a total charge of +2 nC.
Expert Solution Step 1 Electric potential = 14TE0xQr Step 2 (a) Electric potential at origin due to two charges V0,0=14TTE02×10-65×10-2+2×10-65×10-2=14Ttɛ02x2x10-65x10-2=9×1094×10-65x10- 2=7.2×105V (b) Let V(x,y)=V(0,0). 14TE02×10-6x+0.052+y2+2×10-6x-0.052+y2=14T1E02×2×10-65×10-21x+0.052+y2+1x- 0.052+y2=25x10-2 The shape of this equipotential line is plotted below 2. 10° 0,04 0.02 -O DB -0 06 -0 04 -0 02 0 02 0 04 0 06 0.02 -0 04 (c) The electric field will be perpendicular to the red line Step 3 According to Bartleby guidelines only three paerts of a question can be answered at once. Please post the remaining questions separately. Rate this solution
Transcribed Image Text:Expert Solution Step 1 Electric potential = 14TE0xQr Step 2 (a) Electric potential at origin due to two charges V0,0=14TTE02×10-65×10-2+2×10-65×10-2=14Ttɛ02x2x10-65x10-2=9×1094×10-65x10- 2=7.2×105V (b) Let V(x,y)=V(0,0). 14TE02×10-6x+0.052+y2+2×10-6x-0.052+y2=14T1E02×2×10-65×10-21x+0.052+y2+1x- 0.052+y2=25x10-2 The shape of this equipotential line is plotted below 2. 10° 0,04 0.02 -O DB -0 06 -0 04 -0 02 0 02 0 04 0 06 0.02 -0 04 (c) The electric field will be perpendicular to the red line Step 3 According to Bartleby guidelines only three paerts of a question can be answered at once. Please post the remaining questions separately. Rate this solution
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