The electric potential due to a point charge approaches zero as you move farther away from the charge. If the three point charges shown here lie at the vertices of an equilateral triangle, the electric potential at the center of the triangle is
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- Consider the following figure. (a) Find the electric potential, taking zero at infinity, at the upper right corner (the corner without a charge) of the rectangle in the figure. (Let x = 5.70 cm and y = 3.50 cm.) (b) Repeat if the 2.00-µC charge is replaced with a charge of −2.00 µC.Two charges are located along the x-axis. A positive charge 15.1 uC is at x-0, and a negative charge -2 uC is located at x-10.8 m. Point P is located somewhere between the two charges such that the electric potential due to the two charges is zero, Point P is at x m.A line of charge with a non-uniform charge density λ=ay, where a=−10 nC/m2 lies along the y axis with one end at the origin and the other at y=h, where h=0.5 m. What is the total charge? What is the electric potential of this line charge at point P?
- Two identical point charges, each of 2.0 nC are held fixed on the x-axis, one at x= -3.0 cm, y =0 and the other at x = +3.0 cm, y= 0. In what follows, the electric potential is taken to be zero at infinity. Calculate the electric potential VA at location A of coordinates x = 0, y= +4.0 cm, and the electric potential VB at location B of coordinates x = 0, y = 0 (the origin). An electron is released from rest at location A and immediately starts moving along the y axis towards location B. Use conservation of energy to calculate the speed of the electron when it reaches location B.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. P, (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)?Consider a square of charges, where the side length of the square is a = 2.4 m. At each corner of the square there is a different charge. At (0, 0), there is a 8 nC charge. At (a, 0), there is a -9 nC charge. At (a, a), there is a -2 nC charge. Lastly, at (0, a) there is a 4 nC charge. Calculate the electric potential at (a/2, 0), in V. Use k = 9 x 109 N m2 / C2. (Please answer to the fourth decimal place - i.e 14.3225)
- For each of these calculations you may take that the electric potential is zero infinitely far away from the point charges.If the electric potential is zero at infinity, is the electric potential at the surface of a conductor with a total charge Q where Q < 0 positive or negative?Two protons and one electron are placed on three corners of a square with sides of length 11 cm. A proton is opposite the empty corner. Calculate the electric potential at the empty corner.(Give your answer in volts)
- Two point charges Q, = +4,90 nC and 02 = -2.80 nC are separated by 55.0 cm. (a) What is the electric potential at a point midway between the charges? (b) What is the potential energy of the pair of charges? What is the significance of the algebraic sign of your answer? Positive work must be done to separate the charges. Negative work must be done to separate the charges.Two point charges, one of -1.5 μC and the other of +3.7 μC, are placed at the points (-2.5 m, -1.5 m) and (1.2 m, 0), respectively. (a) Find the electric potential at the origin. (b) There is one point along the radial line connecting the two charges where the electric potential is zero. Find this point (x- and y-coordinates).(a) Find the electric potential, taking zero at infinity, at the upper right corner (the corner without a charge) of the rectangle in the figure. (Let x = 6.30 cm and y = 2.20 cm.)(b) Repeat if the 2.00-µC charge is replaced with a charge of −2.00 µC.