A rod of length L lies along the x axis with its left end at the origin. It has a nonuniform charge density λ = ax, where a is a positive constant. Calculate the electric potential at point B, which lies on the perpendicular bisector of the rod a distance b above the x axis. (Use the following as necessary: α, k₂, L, b, and d.) v= 41
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- The three charges in the figure below are at the vertices of an isosceles triangle. Let q = 3.50 nC and calculate the electric potential in KV at the midpoint of the base. (Let d1 = 1.00 cm and d2 = 7.00 cm.)A sphere of radius R=60 cm has its center at the origin. Along the equator of this sphere, equal charges of q=3 μµC are placed at intervals of 60°. Find the electric potential at the origin of coordinates. a) 250 kV b) 260 kV c) 270 kV d) 280 kV e) 290 kVThree charges are at three corners of a rectangle with side L1 = 2 m and L2 = 3.1 m as shown below. If q1 = 1.2 μC, q2 = 3.6 μC, and q3 = -6.6 μC, what is the electric potential (V) at the fourth corner? (Please note: the charge is given in micro-Coulomb.)
- (a) The electric potential in a region is given by the equation V(x, y) = (1.00) xyz +2.00v. sin (3.00-x). What is the force on a 65.4 mC located at position (3.30 m, 4.21 m,-1.80 m)? Give your answer in vector component notation. (b) The electric potential in a region is given by the equation V(x, y, z) = (2.40)x²y + (1.5 V)e (1.002). What is the force on a 12.6 mC located at position (-1.30 m, 2.48 m,-2.10 m)? Give your answer in vector component notation.A rod of length L lies along the x axis with its left end at the origin. It has a nonuniform charge density ? = ?x, where ? is a positive constant. (a) What are the units of ?? (Use SI unit abbreviations as necessary.) (b) Calculate the electric potential at A. (Use any variable or symbol stated above along with the following as necessary: ke.)Four charges of equal magnitude q = 1.89 µC are situated as shown in the diagram below. If d = 0.98 m, find the electric potential at location A due to the four charges.
- Consider a thin sheet of copper with −4.5 × 10-9 C/m2 that is held parallel to the yz-plane and passing through −2.2 m on the x-axis. What is the change in electric potential between 5.4 mˆi + 0.6 mˆj and 4.7 mˆi − 3.1 mˆj?The three charges in the figure below (D1 = 5.00 cm, D2 = 6.00 cm) are at the vertices of an isosceles triangle. Calculate the electric potential at the midpoint of the base, taking q = 7.00 µC.MVA hollow metal sphere has a potential of +380 V with respect to ground (defined to be at V = 0) and has a charge of 4.4 x 10-⁹ C. Find the electric potential at the center of the sphere. Number i Units +
- Please don't provide handwritten solution ..... The electric potential V(x, y, z) in a region of space is given by V(x, y, z) = V0(6x2 − 3y2 − z2), where V0 = 18.0 V and x, y, and z are measured in meters. Find the electric field at the point (1.40 m, 1.40 m, 0). (Express your answer in vector form.)A +6 μC charge is distributed uniformly over a 12.6 m rod centered at the origin and oriented parallel to the x axis. Taking the potential to be zero at infinity, what is the electric potential at the position (22.1,0)m?An electron moving parallel to the x axis has an initial speed of 3.14 x 10° m/s at the origin. Its speed is reduced to 1.44 x 10 m/s at the point x = 2.00 cm. (a) Calculate the electric potential difference between the origin and that point. Volts (b) Which point is at the higher potential? O the origin O the point x 2.00 cm O both have the same potential Need Help? Read It Master It