**Text:**A 105-turn square wire coil of area \(0.040 \, \text{m}^2\) rotates about a vertical axis at \(1{,}800 \, \text{rev/min}\), as indicated in the figure below. The horizontal component of Earth's magnetic field at the location of the loop is \(2.0 \times 10^{-5} \, \text{T}\). Calculate the maximum emf (in V) induced in the coil by Earth's field.**Diagram Explanation:**- The diagram shows a square wire coil with dimensions labeled as \(20.0 \, \text{cm}\) by \(20.0 \, \text{cm}\).- The coil is rotating around a vertical axis indicated by a circular arrow labeled \(\omega\).**Equation for emf:**\[\text{emf}_{\text{max}} = NAB\omega.\]Where:- \(N\) is the number of turns (105 turns),- \(A\) is the area of the coil (\(0.040 \, \text{m}^2\)),- \(B\) is the magnetic field (\(2.0 \times 10^{-5} \, \text{T}\)),- \(\omega = 2\pi \times (\text{rev/min to rad/sec})\).**Input Box:**\[ \boxed{ \text{V} } \]Fill in the box with the calculated maximum emf value.

Emf induced in the coil ε=dϕdt=ddtNBAcosθ=NBAωsinθ ω=dθdtεmax=NBAω sinθmax=1

A 105-turn square wire coil of area 0.040 m2 rotates about a vertical axis at 1,800 rev/min, as indicated in the figure below. The horizontal component of Earth's magnetic field at the location of the loop is 2.0 x 105 T. Calculate the maximum emf (in V) induced in the coil by Earth's field. 20.0 cm 120.0 cm

A 105-turn square wire coil of area 0.040 m2 rotates about a vertical axis at 1,800 rev/min, as indicated in the figure below. The horizontal component of Earth's magnetic field at the location of the loop is 2.0 x 105 T. Calculate the maximum emf (in V) induced in the coil by Earth's field. 20.0 cm 120.0 cm

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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**Text:**

A 105-turn square wire coil of area \(0.040 \, \text{m}^2\) rotates about a vertical axis at \(1{,}800 \, \text{rev/min}\), as indicated in the figure below. The horizontal component of Earth's magnetic field at the location of the loop is \(2.0 \times 10^{-5} \, \text{T}\). Calculate the maximum emf (in V) induced in the coil by Earth's field.

**Diagram Explanation:**

- The diagram shows a square wire coil with dimensions labeled as \(20.0 \, \text{cm}\) by \(20.0 \, \text{cm}\).
- The coil is rotating around a vertical axis indicated by a circular arrow labeled \(\omega\).

**Equation for emf:**

\[\text{emf}_{\text{max}} = NAB\omega.\]

Where:
- \(N\) is the number of turns (105 turns),
- \(A\) is the area of the coil (\(0.040 \, \text{m}^2\)),
- \(B\) is the magnetic field (\(2.0 \times 10^{-5} \, \text{T}\)),
- \(\omega = 2\pi \times (\text{rev/min to rad/sec})\).

**Input Box:**

\[ \boxed{ \text{V} } \]

Fill in the box with the calculated maximum emf value.

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