I need help understanding the concepts and process behind each question. CHAPTER

Question

I need help understanding the concepts and process behind each question.

CHAPTER 18-ELECTRIC POTENTIAL 8 Fig. 18-55 shows two point charges q1 = +5.0 × 10 In 1910 Rutherford performed a classic experiment in 10" C and g.-_6.0 × 108 C. (a) Find the potential at A (b) Find the potential at B (c) Find the potential difference VA-V which he directed a beam of alpha particles at a thin gold foil. He unexpectedly observed a few of the par ticles scattered almost directly backward. This result was not consistent with then current models of atomic structure and led Rutherford to propose the existence of a very dense concentration of positive charge at the center of an atom-the atomic nucleus. The alpha par ticle has a charge of +2e and the gold nucleus a charge of +79e. Suppose that an alpha particle is ini- tially a great distance from the gold, has a kinetic en- ergy of 4.00 MeV (4.00 × 100 eV), and is headed di rectly at a gold nucleus. How close wll the particle come to the center of the nucleus? Treat the nucleus and the alpha particle as point charges. y. cm 91 r, cm 10 20 12 The potential equals 8.00 V at the midpoint between two point charges that are 2.00 m apart. One of the charges is 1.00 × 109 C. Find the value of the other charge 15 A uniform electric field of magnitude 200 N/C is di rected along the negative y-axis. Find the potential at the point x = 30.0 cm, y-_40.0 cm if the potential at the origin equals zero 20 A 1.00 × 10 10 F capacitor has parallel plates with di mensions 10.0 cm × 20.0 cm and a vacuum between the plates (a) Find the distance between the plates (b) A potential difference of 100 V is applied to the plates. Find the charge and the magnitude of the field between the plates

Explanation / Answer

12. the charges are 2 m apart => midpoint is 1m away each charge

=> potential at midpoint = kq1/1 + kq2/1

=> 8 = 9 x 109 (1 x 10-9 + q2)

=> 8/9 = 1 + 109q2

=> q2 = (-1/9) x 10-9 = -1.11111 x 10-10 C

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