The figure shows a 0.78-T magnetic field and a side view of a 17-turn square frame, 64 cm on a side, rotated about an axis through its center and perpendicular to the screen at a rate of 70.5 rpm. Calculate the magnitude of induced emf in the coil when 0 = 58°.

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The figure illustrates a 0.78-Tesla magnetic field and a side view of a 17-turn square coil, with each side measuring 64 cm. The coil is rotated about an axis through its center and perpendicular to the plane of the screen at a rate of 70.5 revolutions per minute (rpm). The task is to calculate the magnitude of the induced electromotive force (emf) in the coil when the angle \( \theta = 58^\circ \).

**Diagram Explanation:**
- The diagram shows a square coil intersecting a uniform magnetic field, represented by parallel blue arrows indicating the direction of the magnetic field (\( \mathbf{B} \)).
- A rod or a side of the square coil is depicted at an angle \( \theta \) with respect to the magnetic field lines. 
- The angular velocity of the coil's rotation and the angle \( \theta \) are both depicted to illustrate the orientation of the coil at a given instant.

Given these parameters, the task involves using Faraday's Law of Induction to find the induced emf based on the rate of change of the magnetic flux through the coil.
Transcribed Image Text:The figure illustrates a 0.78-Tesla magnetic field and a side view of a 17-turn square coil, with each side measuring 64 cm. The coil is rotated about an axis through its center and perpendicular to the plane of the screen at a rate of 70.5 revolutions per minute (rpm). The task is to calculate the magnitude of the induced electromotive force (emf) in the coil when the angle \( \theta = 58^\circ \). **Diagram Explanation:** - The diagram shows a square coil intersecting a uniform magnetic field, represented by parallel blue arrows indicating the direction of the magnetic field (\( \mathbf{B} \)). - A rod or a side of the square coil is depicted at an angle \( \theta \) with respect to the magnetic field lines. - The angular velocity of the coil's rotation and the angle \( \theta \) are both depicted to illustrate the orientation of the coil at a given instant. Given these parameters, the task involves using Faraday's Law of Induction to find the induced emf based on the rate of change of the magnetic flux through the coil.
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