Question

An electron is launched at 45° at a speed of 2.5 x 106 m/s from the positive plate of a parallel-plate capacitor


An electron is launched at 45° at a speed of 2.5 x 106 m/s from the positive plate of a parallel-plate capacitor as shown in the figure below. The electron lands d = 4 cm away. 

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What is the electric field strength inside the capacitor? 

(Please give your answer in N/C with at least two significant figures; e.g. 2700).

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Answer #1

Range, R = u^2 sin(2 theta)/a

0.04 = (2.5 x 10^6)^2 sin(2 x 45)/a

Acceleration, a = 1.56 x 10^14 m/s^2

Acceleration, a = qE/m

1.56 x 10^14 = 1.6 x 10^-19 x E/(9.1 x 10^-31)

Electric field, E = 888.67 N/C

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