1. It?s the annual Particle Races that are traditionally held inside a parallel-
ID: 1386079 • Letter: 1
Question
1. It?s the annual Particle Races that are traditionally held inside a parallel-plate capacitor. The circular electrodes are placed 5 mm apart with a radius of 3 cm. Assume the space between the electrodes is a vacuum. a) What charge must each electrode carry if the King Particle wants a uniform electric field of 4.2 x 10^6 N/C? b) How long does it take an electron to cross from one electrode to the other? C) Particle 1 has a charge +3q and mass 3.0 x 10^-21 kg. Particle 2 has a charge +36q and mass 3.6 x 10^-20 kg. Which particle will win the annual Particle Race if both are released from rest in between the electrodes at the same location? 2. The field just off the surface of a 4.5-cm-radius metal ball is 6.25 x 10^2 N/C and points towards the ball. How much charge must reside on the ball?Explanation / Answer
Solution: 1. We know that for parallel plate capacitor, V = E x d; where V = potential difference, E = electric field and d = distance between two parallel plate capacitors.
(a) Substituting given values, V = (4.2 x 106) x (5 x 10-3) = 21000 V. In order to produce this potential difference, q = V x 4??0 x r = 1.16 x 10-8 C charge is required on each plate.
(b) Force acting on an electron in that circumstance F = qE = 0.049 N. So, acceleration of the electron a = F/m = 5.38 x 1028 m/s2. Now, using s = ut +
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