A rod of length L = 4.00 m with uniform charge of 9.50 nC/m is oriented along the y axis as shown in the diagram. P₁ (a) What is the electric potential at the location P₁ whose coordinates are (0, -6.00 m)? v (b) What is the electric potential at the location P2 whose coordinates are (6.00 m, 2.00 m)? V
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- Consider two separate systems with four charges of the same magnitude q = 16 µC arranged in the vertexes of a square of length h = 35 cm, see the picture below. Calculate the electric potential at the center of the square (points A and C) and at the middle of the bottom side of the square (points B and D). y y h h А. C. h В D b- The potential at point A, VA = 2320457.1x Units v The potential at point B, Vg = 2378380.8 Units V The potential at point C, Vc = 0 Units V The potential at point D, V, = -908380.8: Units v How much work is required to move a -12 µC charge from point A to point B? The work required, WAs =|-0.7349 X Units J How much work is required to move a -12 µC charge from point C to point D? The work required, Wc-o = 10.90 Units JA 42.0-nC charge is placed at the origin and a 74.0-nC charge is placed on the +x-axis, 2.20 cm from the origin. a. What is the electric potential at a point on the +x-axis 3.40 cm from the origin? b. How much work does it take for an external agent to move a 45.0-nC charge from a point on the +x-axis, 3.40 cm from the origin to a point halfway between the 42.0-nC and 74.0-nC charges?A thin rod extends along the x-axis from x = −a to x = a . The rod carries a positive charge +Q uniformly distributed along its length 2a with charge density λ, as shown in Figure attached. a) Use dV = 1/4πε0 ∫ dq/r to show that the electric potential at point P is given by: V(x) = (λ/4πε0) ln(x + a/x − a) b) What is the electric potential of the rod at x = 4a and x = 2a? c) What is the electric potential difference between x = 4a and x = 2a?
- An infinitely long metal cylinder has radius R0 and charge per unit length λ. It is held at potential V0, which you should use as the reference point for this problem. The cylinder is solid (not hollow) and in electrostatic equilibrium. (a) Find the electric potential outside the cylinder, for a distance r > R0 from the center of the cylinder. (b) Find the electric potential inside the cylinder, at a distance r < R0 from the center of the cylinder.The figure shows a thin plastic rod of length L = 14.5 cm and uniform positive charge Q = 56.6 fC lying on an x axis. With V = 0 at infinity, find the electric potential at point P₁ on the axis, at distance d = 3.75 cm from one end of the rod. Number Units P₁ D P₂ -XV(x) The 10V А В DE 1V 0 1 2 3 4 5 6 (cm) graph shows the potential V as a function of position x. Please consider the electric fields in the five regions, A through E for the following questions. In which region does the direction of the electric field point left: Submit Answer Tries 0/2 The magnitude (i.e. absolute value) of the electric field in region A is: V/m Submit Answer Tries 0/2 The magnitude (i.e. absolute value) of the electric field in region B is: V/m
- A plastic rod has been bent into a circle of radius R = 9.53 cm. It has a charge Q1 = +4.81 pC uniformly distributed along one-quarter of its circumference and a charge Q2 = -6Q1 uniformly distributed along the rest of the circumference (see the figure). With V = 0 at infinity, what is the electric potential (a) at the center C of the circle and (b) at point P, which is on the central axis of the circle at distance D = 3.61 cm from the center?A plastic rod has been bent into a circle of radius R = 11.0 cm. It has a charge Q1 = + 5.38 pC uniformly distributed along one-quarter of its circumference and a charge Q2 = -6Q, uniformly distributed along the rest of the circumference (see the figure). With V = 0 at infinity, what is the electric potential (a) at the center C of the circle and (b) at point P, which is on the central axis of the circle at distance D = 6.02 cm from the center? D Q2 (a) Number i -2.2 Units V (b) Number -1.93 UnitsConsider two separate systems with four charges of the same magnitude q = 16 µC arranged in the vertexes of a square of length h = 35 cm, see the picture below. Calculate the electric potential at the center of the square (points A and C) and at the middle of the bottom side of the square (points B and D). h A. C. h B D -4 The potential at point A, VA = 2324567.7 x Units V The potential at point B, Ve = 2378380.6 Units V The potential at point C, Vc =0 Units V The potential at point D, V, = -908380.8: v Units v How much work is required to move a -12 µC charge from point A to point B? The work required, W = -0.64575 xUnits J How much work is required to move a -12 µC charge from point C to point D? Units J The work required, Wc-p = 10.90