The figure below shows a 99-turn square coil rotating about a vertical axis at at w = 1,450 rev/min. The length of a the coil is 20.0 cm. The horizontal component of the Earth's magnetic field at the coil's location is equal to 2.00 × 10 20.0 cm |20.0 cm (a) What is the magnitude of the maximum emf (in mV) induced in the coil by the Earth's magnetic field? (b) What is the orientation of the coil with respect to the magnetic field when the maximum emf occurs? O The plane of the coil is parallel to the magnetic field. O The plane of the coil is perpendicular to the magnetic field. The plane of the coil is oriented 45° with respect to the magnetic field.

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Chapter1: Units, Trigonometry. And Vectors
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**Square Coil Rotating in a Magnetic Field**

The figure illustrates a 99-turn square coil rotating about a vertical axis at an angular velocity \( \omega = 1,450 \text{ rev/min} \). Each side of the coil measures 20.0 cm. At the coil's position, the horizontal component of the Earth's magnetic field is \( 2.00 \times 10^{-5} \text{ T} \).

**Diagram Explanation:**
- The diagram shows a square coil with dimensions 20.0 cm by 20.0 cm.
- The coil rotates around a vertical axis indicated by \(\omega\).

**Questions:**

(a) What is the magnitude of the maximum electromotive force (emf) (in mV) induced in the coil by the Earth's magnetic field?
- Answer box: \(\_\_\_\_\) mV

(b) What is the orientation of the coil with respect to the magnetic field when the maximum emf occurs?
- Options:
  - The plane of the coil is parallel to the magnetic field.
  - The plane of the coil is perpendicular to the magnetic field.
  - The plane of the coil is oriented 45° with respect to the magnetic field.
Transcribed Image Text:**Square Coil Rotating in a Magnetic Field** The figure illustrates a 99-turn square coil rotating about a vertical axis at an angular velocity \( \omega = 1,450 \text{ rev/min} \). Each side of the coil measures 20.0 cm. At the coil's position, the horizontal component of the Earth's magnetic field is \( 2.00 \times 10^{-5} \text{ T} \). **Diagram Explanation:** - The diagram shows a square coil with dimensions 20.0 cm by 20.0 cm. - The coil rotates around a vertical axis indicated by \(\omega\). **Questions:** (a) What is the magnitude of the maximum electromotive force (emf) (in mV) induced in the coil by the Earth's magnetic field? - Answer box: \(\_\_\_\_\) mV (b) What is the orientation of the coil with respect to the magnetic field when the maximum emf occurs? - Options: - The plane of the coil is parallel to the magnetic field. - The plane of the coil is perpendicular to the magnetic field. - The plane of the coil is oriented 45° with respect to the magnetic field.
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