**Electromagnetic Induction Problem**A flat coil is wrapped with 200 turns of very thin wire on a square frame with sides 18 cm long. A uniform magnetic field is applied perpendicular to the plane of the coil. If the field changes uniformly from 0.50 T to 0.00 T in 8.0 s, find the emf induced in the coil.**Options:**a) 2.1 mV b) 4.1 mV c) 0.21 V d) 0.41 V **Explanation:**This problem involves electromagnetic induction, where a change in magnetic field through the coil induces an electromotive force (emf). The emf can be calculated using Faraday's Law of Induction:\[ \text{emf} = -N \frac{\Delta \Phi}{\Delta t} \]where:- $ N $ is the number of turns in the coil,- $ \Delta \Phi $ is the change in magnetic flux,- $ \Delta t $ is the time over which the change occurs. **Calculation Steps:**1. **Compute the area of the square coil:** - Area $ A = \text{side} \times \text{side} = 0.18 \, \text{m} \times 0.18 \, \text{m} $.2. **Calculate the change in magnetic flux ($ \Delta \Phi $):** - Initially, $ \Phi_{\text{initial}} = B_{\text{initial}} \times A $. - Finally, $ \Phi_{\text{final}} = B_{\text{final}} \times A $ (where $ B_{\text{final}} = 0 $). - Hence, $ \Delta \Phi = \Phi_{\text{final}} - \Phi_{\text{initial}} = 0 - (B_{\text{initial}} \times A) $.3. **Substitute the values into Faraday's equation to find the induced emf.**This problem teaches the principles of electromagnetic induction and requires understanding of how changing magnetic fields can induce voltage in a conductive loop.

Emf induced in the coil is emf=.41V

2. A flat coil is wrapped with 200 turns of very thin wire on a square frame with sides 18 cm long. A uniform magnetic field is applied perpendicular to the plane of the coil. If the field changes uniformly from 0.50 T to 0.00 T in 8.0 s, find the emf induced in the coil. a) 2.1 mV b) 4.1 mV c) 0.21 V d) 0.41 V

2. A flat coil is wrapped with 200 turns of very thin wire on a square frame with sides 18 cm long. A uniform magnetic field is applied perpendicular to the plane of the coil. If the field changes uniformly from 0.50 T to 0.00 T in 8.0 s, find the emf induced in the coil. a) 2.1 mV b) 4.1 mV c) 0.21 V d) 0.41 V

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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