Worksheet: Propagating Electric and Magnetic Fields

In this worksheet, we will practice modeling electromagnetic waves as propagating electric and magnetic fields.

Q1:

Electromagnetic waves propagate through water that has a refractive index of 1.33. The electric permittivity of the water is 1 2 × 1 0 C2/N⋅m2. What is the magnetic permeability of the water?

  • A 5 . 2 × 1 0 H/m
  • B 3 . 7 × 1 0 H/m
  • C 1 . 6 × 1 0 H/m
  • D 1 . 9 × 1 0 H/m
  • E 1 . 6 × 1 0 H/m

Q2:

Which of the following formulas correctly shows the relation between 𝑐 , the speed at which electromagnetic waves propagate through a medium; 𝜀 , the electric permittivity of the medium; and 𝜇 , the magnetic permeability of the medium?

  • A 𝑐 = ( 𝜀 𝜇 )
  • B 𝑐 = 1 𝜀 𝜇
  • C 𝑐 = 1 ( 𝜀 𝜇 )
  • D 𝑐 = 𝜀 𝜇
  • E 𝑐 = 𝜇 𝜀

Q3:

At what speed do electromagnetic waves propagate in a vacuum? Answer to two significant figures.

  • A 3 . 0 × 1 0 m/s
  • B 3 . 0 × 1 0 m/s
  • C 9 . 0 × 1 0 m/s
  • D 3 . 4 × 1 0 m/s
  • E 9 . 0 × 1 0 m/s

Q4:

Which of the following statements about the energy transferred by the electric and magnetic fields that electromagnetic waves are comprised of is correct?

  • AThe energy transferred by the electric field of an electromagnetic wave is equal to the energy transferred by the magnetic field of the electromagnetic wave.
  • BThe energy transferred by the magnetic field of an electromagnetic wave is greater than the energy transferred by the electric field of the electromagnetic wave.
  • CThe energy transferred by an electromagnetic wave is equal to the difference between the energy transferred by the wave’s electric and magnetic fields.
  • DThe energy transferred by the electric field of an electromagnetic wave is greater than the energy transferred by the magnetic field of the electromagnetic wave.

Q5:

Electromagnetic waves propagate through rubber that has a refractive index of 1.5. The electric permittivity of the rubber is 3 . 0 × 1 0 C2/N⋅m2. What is the magnetic permeability of the rubber?

  • A 1 . 6 × 1 0 H/m
  • B 3 . 7 × 1 0 H/m
  • C 8 . 3 × 1 0 H/m
  • D 1 . 7 × 1 0 H/m
  • E 1 . 3 × 1 0 H/m

Q6:

Which of the following diagrams correctly shows how the electric field 𝐸 , shown in yellow, and the magnetic field 𝐵 , shown in green, that an electromagnetic wave is comprised of vary with time 𝑡 ?

  • A
  • B
  • C
  • D

Q7:

A material has an electric permittivity of 1 0 . 4 × 1 0 C2/N⋅m2 and a magnetic permeability of 1 . 7 8 × 1 0 H/m. What is the refractive index of the material?

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