10. A +2.3 mC charge is placed 35 cm away from a stationary -3.4 mC charge. What

Question

10. A +2.3 mC charge is placed 35 cm away from a stationary -3.4 mC charge. What is the electrical potential? 11. In a 15 Volt potential, a particle has a potential energy of -0.45 J. What is the particle's charge? 12. A 1.5 mC charge is moving towards a stationary +6.8 mC charge. What is the change in potential energy as the particle moves from 75 cm away from the stationary charge to only 33 cm from the stationary charge? Did the potential energy increase or decrease? 13. A +1.5 mC charged particle (m 4.3 kg) is placed 1.2 m from a +4.4 mC stationary charge If it starts from rest, how fast will the particle be traveling when it is 2.0 m away from the stationary charge 14. A +2.7 mC charged particle (m 1.5 kg is shot with an initial velocity of 202 m/sec towards a +1.8 mC stationary charge. If the particle starts out 1.4 meters from the stationary charge, how close will it come to the charge before turning around and moving away? 15. A proton (m 1.7 x 10 27 kg, q +1.6 x 10 19 C) is placed at edge of the positive plate of a 2.4 x 10 F capacitor. If the capacitor holds 17 mC of charge on its positive plate, how fast will the proton be moving when it reaches the negative plate of the capacitor?

Explanation / Answer

10.

The electric potential V of a point chargeq1 at a typical point P in space at a distance r1 from it is given by :

V1 = k q1/r1

if another charge q2 is placed at P a distance r1 from  q1 , then q2 finds a potential energy equal to

Electric Potential = k q1 q2/r1 = V1 q2

= (8.999x10^9)(+2.3 x10^-3)(-3.4 * 10^-3 )/ 0.35

= 201086 J

11.

V = W/q

so the particle's charge is

q = W/V = -0.45/15 = -0.030 C

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