A circular coil wire contains 1000 loops of wire. This coil has an area of 0.5 m2. A uniform magnetic field points perpendicular to the loop. The strength of the magnetic field is increased smoothly from 0 → 2 T in 4 seconds.  (a) What is the initial magnetic flux through the loop (when B = 0)?  (b) What is the final magnetic flux through the loop (when B = 2, 4 seconds later)? (c) What is the induced voltage in this coil?

Principles of Physics: A Calculus-Based Text
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Chapter23: Faraday’s Law And Inductance
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  1. A circular coil wire contains 1000 loops of wire. This coil has an area of 0.5 m2. A uniform magnetic field points perpendicular to the loop. The strength of the magnetic field is increased smoothly from 0 2 T in 4 seconds. 

(a) What is the initial magnetic flux through the loop (when B = 0)? 

(b) What is the final magnetic flux through the loop (when B = 2, 4 seconds later)?

(c) What is the induced voltage in this coil? 

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