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Teaching Modern Physics - QuarkNet - Fermilab

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Particle Quiz 2<br />

Key<br />

Answer each question on a separate sheet of paper showing as much work as possible. When you<br />

are finished, add an extra question at the end of the quiz. If you ask about this at all, you will not<br />

receive credit for this question.<br />

1. A uniform electric field exists in a region between two oppositely charged plates. An electron<br />

is released from rest at the surface of the negatively charged plate and strikes the surface of<br />

the opposite plate 2 cm away, 1.5x10 -8 seconds later.<br />

a. Knowing that the electron will accelerate in the field, choose an equation from the board<br />

that will determine the final velocity of the electron.<br />

vi = 0<br />

vf = ? d = vit + 1/2at 2<br />

d = 0.02m 0.02m = 0 + 1/2a (1.5 x 10 -8 s) 2<br />

a = ? a = 1.8 x 10 14 m/s 2<br />

t = 1.5 x 10 -8 s<br />

b. Calculate the net force on the electron.<br />

F = ma = (9.11x10 -31 kg) (1.8x10 14 m/s 2 ) = 1.6x10 -16 N<br />

c. Determine the weight of an electron.<br />

W = mg = (9.11x10 -31 kg) (9.8 m/s 2 ) = 8.9x10 -30 N<br />

d. Determine the electric force on the electron and then calculate the electric field strength.<br />

F = E-W E = F+W = 1.6x10 -16 N<br />

e. Determine the electric potential difference between the plates.<br />

V = Ed = 1000 N/C (.02m) = 20 V<br />

2. An electron moving westward with a speed of 10000 m/s enters a uniform magnetic field of<br />

strength of 3T directed north.<br />

a. What is the magnetic force felt by the electron?<br />

FB = qvB = -1.6x19 -19 C (10000 m/s) (3T) = -4.8x10 -15 N<br />

37

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