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7. Load ring. An electric charge is uniformly distributed around a thin ring of radius a with total charge Q (figure). Determine the potential at a point P on the axis of the ring at a distance x from the center of the ring.
The Total charge on the ring=Q
The radius of the ring=a
The electric potential is to be found at a point P on the axis of the ring which is x units away from the center of the ring O. The charge element dQ is shown in the figure below
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- Derive the expression for the electric potential at a field point, P, near a uniform line of charge (in blue) as shown in the diagram below. y Answer: L ←>> dx X >< xo P xo - x Use your expression to determine the electric potential when the total charge on the line, Q = 4.2 microCoulombs, Xo = 7.9 m and L = 2.4 m. Choose... XTwo 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)1. A disk of radius R has positive charge Q distributed uniformly across its surface. The disk lies flat in the xy-plane, and the z-axis intersects the disk at its center. Z Q x y (a) Determine the electric potential at all points on the z-axis. Assume that the potential goes to zero infinitely far away from the disk. (b) From the potential you found in Part (a), determine the electric field at all points on the z-axis. Make sure that your electric field points in the correct direction above and below the disk.
- 1. Use the diagram below: Q1 0.089 m Q2 0.070 m 0.055 m P a) What is the electric field strength at point P due to the charges Q1 (6.0 µC) and Q2 (8.0 µC)? b) What is the electric potential at point P due to the charges Q1 and Q2?4. If the potential at a point a distance d above the end of a uniform line of charge of length L is given by V = k In (¹ + (2² +d²7)³/2), find the y component of the electric field at L that point (Hint: replaced with y).5. The electric potential V in a region of space is given by V(x, y, z) = A(x² - 3y² + z²), where A is a constant. a) Derive an expression for the electric field E at any point in this region. b) The work done by the field when a 1.50µC test charge moves from the point (x, y, z) = (0, 0, 0.250m) to the origin is measured to be 6.00 x10-5J. Determine A. c) Determine the electric field at the point (0, 0, 0.250m).