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Back to 24.2 Production of Electromagnetic Waves

24.2 Exercise 5

Avg difficulty 2.5

Given the waveform in the figure(d), if T = 3.0× 10 −9  s T \textrm{ } = \textrm{ } 3.0 \times 10^{- 9} \textrm{ } \text{s} and E = 5.0× 10 5  N / C E \textrm{ } = \textrm{ } 5.0 \times 10^{5} \textrm{ } \text{N}\textrm{ }/\textrm{ }\text{C}, which of the following is the correct equation for the wave at the antenna?

  1. ( 5.0× 10 5  N / C ) sin ( 2π ( 3.0 × 10 −9  s )t ) \left(\text{5} .\text{0} \times 10^{5} \textrm{ } \text{N}\textrm{ }/\textrm{ }\text{C}\right) \textrm{ } \text{sin} \textrm{ } \left(\text{2} \pi \textrm{ } \left(\text{3} .\text{0} \textrm{ } \times 10^{- 9} \textrm{ } \text{s}\right) t\right)
  2. ( 5.0× 10 5  N / C ) sin ( 2π t ( 3.0 × 10 −9  s ) ) \left(\text{5} .\text{0} \times 10^{5} \textrm{ } \text{N}\textrm{ }/\textrm{ }\text{C}\right) \textrm{ } \text{sin} \textrm{ } \left(\frac{\text{2} \pi \textrm{ } t}{\left(\text{3} .\text{0} \textrm{ } \times 10^{- 9} \textrm{ } \text{s}\right)}\right)
  3. ( 5.0× 10 5  N / C ) cos ( 2π ( 3.0 × 10 −9  s )t ) \left(\text{5} .\text{0} \times 10^{5} \textrm{ } \text{N}\textrm{ }/\textrm{ }\text{C}\right) \textrm{ } \text{cos} \textrm{ } \left(\text{2} \pi \textrm{ } \left(\text{3} .\text{0} \textrm{ } \times 10^{- 9} \textrm{ } \text{s}\right) t\right)
  4. ( 5.0× 10 5  N / C ) cos ( 2π t ( 3.0 × 10 −9  s ) ) \left(\text{5} .\text{0} \times 10^{5} \textrm{ } \text{N}\textrm{ }/\textrm{ }\text{C}\right) \textrm{ } \text{cos} \textrm{ } \left(\frac{\text{2} \pi \textrm{ } t}{\left(\text{3} .\text{0} \textrm{ } \times 10^{- 9} \textrm{ } \text{s}\right)}\right)

OpenStax College Physics 2e, 24.2 Production of Electromagnetic Waves, exercise 5

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Adapted from College Physics © 2022 Rice University. Licensed under CC BY 4.0. Sources: College Physics 2e, College Physics for AP® Courses 2e. Imported at revision f98d7a7.