<u><em>About 1,199 </em></u><span><u><em>miles From Burma To North.</em></u></span>
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Answer:
i = 1.13\times 10^{-4}A
Explanation:
r = radius of the coil = 4 cm = 0.04 m
Area of coil is given as
A = πr²
A = (3.14) (0.04)² = 0.005024 m²
N = Number of turns = 500
R = Resistance = 600 Ω
B = magnetic field = (0.0120)t + (3 x 10⁻⁵) t⁴
Taking derivative both side relative to "t"
![\frac{dB}{dt}= (0.0120 + (12\times 10^{-5})t^{3})](https://tex.z-dn.net/?f=%5Cfrac%7BdB%7D%7Bdt%7D%3D%20%280.0120%20%2B%20%2812%5Ctimes%2010%5E%7B-5%7D%29t%5E%7B3%7D%29)
Induced current is given as
![i = \left ( \frac{NA}{R} \right )\left ( \frac{dB}{dt} \right )](https://tex.z-dn.net/?f=i%20%3D%20%5Cleft%20%28%20%5Cfrac%7BNA%7D%7BR%7D%20%5Cright%20%29%5Cleft%20%28%20%5Cfrac%7BdB%7D%7Bdt%7D%20%5Cright%20%29)
![i = \left ( \frac{NA}{R} \right ) (0.0120 + (12\times 10^{-5})t^{3})](https://tex.z-dn.net/?f=i%20%3D%20%5Cleft%20%28%20%5Cfrac%7BNA%7D%7BR%7D%20%5Cright%20%29%20%280.0120%20%2B%20%2812%5Ctimes%2010%5E%7B-5%7D%29t%5E%7B3%7D%29)
inserting the values at t = 5
![i = \left ( \frac{(500)(0.005024)}{600} \right ) (0.0120 + (12\times 10^{-5})5^{3})](https://tex.z-dn.net/?f=i%20%3D%20%5Cleft%20%28%20%5Cfrac%7B%28500%29%280.005024%29%7D%7B600%7D%20%5Cright%20%29%20%280.0120%20%2B%20%2812%5Ctimes%2010%5E%7B-5%7D%295%5E%7B3%7D%29)
![i = 1.13\times 10^{-4}A](https://tex.z-dn.net/?f=i%20%3D%201.13%5Ctimes%2010%5E%7B-4%7DA)
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