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MMLU-Pro / 11686 / A sinusoidal voltage having a frequency of 1 MHz and a peak value of 10 volts is…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A sinusoidal voltage having a frequency of 1 MHz and a peak value of 10 volts is applied to the plates of a parallel plate capacitor which are 2 cm. apart. If an electron is released from one plate at an instant when the applied voltage is zero, find the position of the electron at any subsequent time t. Assume that the initial velocity of the electron is 10^6 m/sec in the X-direction, which is perpendicular to the plates. No magnetic field is present.

category

engineering

options

  1. 1.40 × 10^7t + 2.23 cos (2π × 10^6t) m
  2. 1.50 × 10^6t - 2.23 sin (2\pi × 10^6t) m
  3. 1.40 × 10^7t - 2.23 sin (2\pi × 10^6t) m
  4. 1.50 × 10^6t + 2.23 cos (2π × 10^6t) m
  5. 1.50 × 10^7t - 2.23 tan (2π × 10^6t) m
  6. 1.50 × 10^6t + 2.23 sin (2π × 10^6t) m
  7. 1.60 × 10^7t - 2.00 sin (2π × 10^6t) m
  8. 1.50 × 10^7t - 1.23 sin (2π × 10^6t) m
  9. 1.50 × 10^7t - 2.23 cos (2\pi × 10^6t) m
  10. 1.50 × 10^7t - 2.23 sin (2\pi × 10^6t) m

src

stemez-Electromagnetics

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Source and history

upstream_id / Original problem ID
11686
task_id
cb40cf0f-4499-5839-804e-dcde0bbfffc4
task_key
default--test--11686
task_revision_id
1
config / split
default / test

Official source

initial import