Electric Potential ? Physics Electrical Energy and Current Electric Potential 1 Answer Douglas K. Nov 30, 2017 We know that #vecE = -(delV)/(delx)hati-(delV)/(dely)hatj-(delV)/(delz)hatk# #:.# #V = -intE_xdx-intE_ydy-intE_zdz# We are given that #E_x = 2x^3#, #E_y= -3x^2y#, and #E_z = 2yz^2#: #V = -int2x^3dx+int3x^2ydy-int2yz^2dz# #V = -1/2x^4+3/2x^2y^2-2/3yz^3# Evaluate at the point #(1,3,-1) #V = -1/2(1)^4+3/2(1)^2(3)^2-2/3(3)(-1)^3# #V = 15" V"# Answer link Related questions Why does electric potential increase with distance? What are some common mistakes students make with electric potential? Question #618a2 Question #673a7 Question #09754 A charge of #15 C# is passing through points A and B on a circuit. If the charge's electric... A charge of #15 C# is passing through points A and B on a circuit. If the charge's electric... A charge of #16 C# is passing through points A and B on a circuit. If the charge's electric... A charge of #16 C# is passing through points A and B on a circuit. If the charge's electric... A charge of #9 C# is passing through points A and B on a circuit. If the charge's electric... See all questions in Electric Potential Impact of this question 1545 views around the world You can reuse this answer Creative Commons License