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AP Unit III E 1: Electromagnetic Induction

AP Unit III E 1: Electromagnetic Induction. a) Students should understand the concept of magnetic flux, so they can: (1) Calculate the flux of a uniform magnetic field through a loop of arbitrary orientation. b) Students should understand Faraday’s law and Lenz’s Law, so they can:

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AP Unit III E 1: Electromagnetic Induction

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  1. AP Unit III E 1: Electromagnetic Induction • a) Students should understand the concept of magnetic flux, so they can: • (1) Calculate the flux of a uniform magnetic field through a loop of arbitrary orientation. • b) Students should understand Faraday’s law and Lenz’s Law, so they can: • (1) Recognize situations in which changing flux through a loop will cause an induced emf or current in the loop.

  2. (2) Calculate the magnitude and direction of the induced emf and current in a loop of wire or a conducting bar under the following conditions: • (a) The magnitude of a related quantity such as magnetic field or area of the loop is changing at constant rate

  3. Flux Φ (phi) = Magnetic Field Strength (B) x Area (A) • Φm = BACos θ • It is measured in Webers (Wb) or Tesla Meters (T·m) • 1. Calculate the flux through a circular loop of radius 5 mm in a magnetic field of strength 4 x 10 –3 T.

  4. An moving magnetic field will cause an induced emf ε (electromotive force or voltage) or current (I = ε/r) in a loop of wire. • Faraday’s Law states that the emf produced is proportional to the rate of change of flux linkage. In other words the faster the motion and the stronger the magnet the greater emf is produced. Lenz’s Law states that the direction oif the current induced is such as to oppose the change causing it • In symbols εavg = - ΔΦ/Δt = ΔBA/Δt

  5. Lenz’s Law

  6. For a wire of length L traveling perpendicularly through a magnetic field of strength B at a speed v the emf induced across the ends is • ε = BLv • 1. What is the emf induced across a plane’s wing span of 15.00 m when flying at the speed of sound (343 m/s ) through the earth’s magnetic field which has a perpendicular component at that point of 55 T. • ε = 55 x 10-6 T x 15 m x 343 m/s = 2.8 x 10-1 Volts

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