Problem 3: A q₁ = -10.0 nC point charge and a q2 = +20.0 nC point charge are 15 cm apart on the x-axis. 1. What is the electric potential at the point on the x-axis where the electric field is zero? 2. What is the electric field at the point on the x-axis, between the charges, where the electric potential is zero? a) In the figure below, where could a point with E = 0 be located (to the left, to the right, or between the charges)? If the distance between this point and 91 is r, what should its distance from be? (use 92 = 192\/1911 2 and the fact that electric field strength is proportional to q/r²) Mark the point E = 0 in the figure and compute its coordinate. 8₁-10nC 82=20nC X=O T X=L= IS cm b) Compute the electric potential at the point E = 0 as a sum of potentials created in that point by charges q1 and 92. x c) In the figure below, mark the point between the charges where the electric potential is zero (V = 0). If you just use q21/19₁1: = 2 and the fact that electric potential is proportional to q/r, the calculation should be very simple. 8-10nC 82=20nC + x=L= IS cm x=0 d) What is the direction of the electric field E at the point V = 0 (draw the vector in the figure). Compute its magnitude and express E in the vector form.

Problem 3: A q₁ = -10.0 nC point charge and a q2 = +20.0 nC point charge are 15 cm apart on the x-axis. 1. What is the electric potential at the point on the x-axis where the electric field is zero? 2. What is the electric field at the point on the x-axis, between the charges, where the electric potential is zero? a) In the figure below, where could a point with E = 0 be located (to the left, to the right, or between the charges)? If the distance between this point and 91 is r, what should its distance from be? (use 92 = 192\/1911 2 and the fact that electric field strength is proportional to q/r²) Mark the point E = 0 in the figure and compute its coordinate. 8₁-10nC 82=20nC X=O T X=L= IS cm b) Compute the electric potential at the point E = 0 as a sum of potentials created in that point by charges q1 and 92. x c) In the figure below, mark the point between the charges where the electric potential is zero (V = 0). If you just use q21/19₁1: = 2 and the fact that electric potential is proportional to q/r, the calculation should be very simple. 8-10nC 82=20nC + x=L= IS cm x=0 d) What is the direction of the electric field E at the point V = 0 (draw the vector in the figure). Compute its magnitude and express E in the vector form.

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