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Lesson: Using Ampere’s Law to Calculate the Magnetic Field of Currents

Sample Question Videos

Worksheet • 6 Questions • 1 Video

Q1:

The following figure shows a rectangular current loop that carries a current I.

Evaluate  ⋅ B I d in terms of 𝜇 0 and I for path A.

  • A 𝜇 𝐼 0
  • B − 1 . 5 𝜇 𝐼 0
  • C 1 . 5 𝜇 𝐼 0
  • D − 𝜇 𝐼 0
  • E0

Evaluate  ⋅ B I d in terms of 𝜇 0 and I for path B.

Evaluate  ⋅ B I d in terms of 𝜇 0 and I for path C.

  • A 𝜇 𝐼 0
  • B − 1 . 5 𝜇 𝐼 0
  • C 1 . 5 𝜇 𝐼 0
  • D − 𝜇 𝐼 0
  • E0

Evaluate  ⋅ B I d in terms of 𝜇 0 and I for path D.

Q2:

A nonconducting hard rubber circular disk is painted with a uniform surface charge density. The disk radius is 20.00 cm, and its height is 2.00 cm. The angular speed of the disk’s rotation is 400 rad/s and the charge density on the disk is 1.00 C/m2. Find the magnitude of the magnetic field produced by the disk.

  • A 4 . 0 9 × 1 0 − 5 T
  • B 4 . 4 4 × 1 0 − 5 T
  • C 3 . 8 2 × 1 0 − 5 T
  • D 4 . 2 0 × 1 0 − 5 T
  • E 3 . 9 6 × 1 0 − 5 T

Q3:

Use Ampere’s law to evaluate  ⋅ B l d for the current configurations and paths shown in each of the following figures.

  • A 5 × 1 0   T⋅m
  • B 0 . 9 × 1 0   T⋅m
  • C 1 × 1 0   T⋅m
  • D 1 × 1 0   T⋅m
  • E 0 . 6 × 1 0   T⋅m
  • A 5 × 1 0   T⋅m
  • B 0 . 5 × 1 0   T⋅m
  • C 3 × 1 0   T⋅m
  • D 1 0 × 1 0   T⋅m
  • E 1 × 1 0   T⋅m
  • A 0 T⋅m
  • B 0 . 4 × 1 0   T⋅m
  • C 2 × 1 0   T⋅m
  • D 0 . 1 × 1 0   T⋅m
  • E 5 0 × 1 0   T⋅m
  • A 1 × 1 0   T⋅m
  • B 0 . 7 × 1 0   T⋅m
  • C 0 T⋅m
  • D 5 × 1 0   T⋅m
  • E 0 . 5 × 1 0   T⋅m
  • A 9 . 0 × 1 0   T⋅m
  • B 2 0 × 1 0   T⋅m
  • C 0 . 9 × 1 0   T⋅m
  • D 0 . 1 × 1 0   T⋅m
  • E 0 . 3 × 1 0   T⋅m
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