4. And the finale to tonight's festivities! If you're not feeling the fright yet,then this must satisfy your craving for horror.(a) What is electric potential? then write down both expressions for electricpotential (one with E and the other with g).(b) Calculate the potential for the hemisphere by applying the scalar form ofpotential. Charge q is constant, so we do not need to doBEWARE!any integration.

Electric potential: Electrostatic potential can be defined as the amount of work needed to move unit…

Answered: 4. And the finale to tonight's…

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4. Two point-like charges are placed as shown in the figure, d and r₁ figure? Let q1 = 56.0 cm 32.0 cm. What is the electric potential at point (p) shown in the -25.0 µC, 92: = +34.0 μC. V = р + r₁ FOX d 92
1. Three conducting spheres are arranged as shown below. The charge on each is the same: 8.0 nC. (a) What is the net force on due to 1 and 2? Give magnitude and direction. (b) What is the electric potential at point P, located midway between 1 and 3? T 2.0m Ïo 2 2.0m 3
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3. A thin circular ring has a radius R and charge3 Q distributed uniformly over its length. What is the electric potential at the center of the ring? Hint: this is very easy since every point on the ring is the same distance from the center. Therefore you don't need to integrate. а. 3Q, R b. What is the electric potential at a distance z along the axis of the thin ring? Comment: each point on the ring is still the same distance from point P. 3Q, R
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9. Figure shows a point charge q and a thin rod of length L that is parallel to y-axis. The rod carries a uniformly distributed charge Q. Determine the total electric potential V at the origin taking V= 0 at infinity. 2d d [L+v[²+d² Answer: Vot = k + k% In *V 2d
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).