Solving the EMF Problem: Cross Sectional Area, Number of Turns & Revolutions/s

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To calculate the induced EMF in a rotating coil within the Earth's magnetic field, the relevant formula is V = NwBA sin(wt), where N is the number of turns, w is the angular velocity, B is the magnetic field strength, and A is the cross-sectional area. The Earth's magnetic field strength is approximately 0.5 Gauss, which should be converted to Tesla for accurate calculations. The maximum voltage (Vmax) is influenced by the magnetic field strength, the number of turns, and the area of the coil. Understanding these parameters is crucial for determining the induced EMF as a function of time. Further clarification can be provided if needed.
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Here is the question. A coil rotates at 200 revoltuions per second in teh Earth's field. If the coil has a cross sectional area of 20cm^2 and has 1000 turns, approximately what emf is induced in the coil as a function of time?

I know emf= int of E*dL and that the voltage proudces across a coil is V= NwBA sin(wt). I guess what i don't get is what would i use for my B or do i need to use a different equation.
 
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Unless I'm mistsaken, the B in the statement here is the Earth's B. The Value for Earth is .5 Gauss, an extremely weak number compared to the tesla. find a conversion factor to get that value in tesla and there's your B value. now remember, the voltage is also written as v=vmaxsin(omega t). V max is dependent abviously on your B field, you number of turns and so on. If you need more help or if that wasn't suficient, then let me know
 
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