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**Unformatted text preview: **Physics 2212 Homework 5 (due: March 29)
1. What is the electric potential at the point P?
+1 nC 1 cm 1 cm
+2 nC
1 cm
P
2. What is the electric potential at the point P?
-6 nC +2 nC 5 cm 5 cm +2 nC
450 450
P
3. The potential at the center of a 4.0-cm-diameter copper sphere is 500 V, relative to V=0 V at infinity. How much excess charge is on the sphere? 4. Find potential energy for two configurations (a) and (b) shown in Fig. Three particles have the following charges q1 = 1 C , q2 = 5 C , q3 = -10 C . Which configuration has the lower energy?
(a)
10 cm q2
q1 10 cm q3
(b)
10 cm q3 q1
10 cm
q2
10 cm
5. Point charge q = 11 C is placed at the center of insulating uniformly charged sphere of radius R = 1m and total charge Q = -16 C . Find electric potential at distance r = 0.8 m from the center of the sphere, assuming that electric potential is 0 very far from the sphere.
6. Point charge q is placed at the center of insulating uniformly charged sphere of radius R=50 cm and total charge Q=5 C. The electric potential at distance r = 20 cm from the center of the sphere is 0. What is the value of the charge q? 7. A 2.0 mm diameter glass bead is positively charged. The potential difference between the point 2.0 mm from the center of the bead and a point 4.0 mm from the bead is 500 V. What is the charge on the bead? 8. Four particles with charges q = 1 C , q = 1C , q = 1 C , and Q = 2 C are placed at the vertices of a square of side a = 10cm . The particle with charge Q and mass m = 100 g is released from the rest. How fast will this particle be moving when it will be at infinite distance from the other particles.
q
Q
q
q
9. Two 1.0 g beads, each charged to +5.0 nC, are 2.0 cm apart. A 2.0 g bead charged to 1.0 nC is exactly halfway between them. The beads are released from the rest. What is the speed of the positive bead, when they are very far apart?
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