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# Answer to Question #350600 in Electric Circuits for Tobi

Question #350600

a coil with 50 turns and area 10cm2 is oriented with a plane perpendicular with a 0.75-T magnetic field. if the coil is rotated over(rotated through 180) in 0.20s. what is the average emf induced in it. 0.375v

1
2022-06-15T07:03:35-0400

Given:

"N=50; \\space A=10cm^{2}=10^{-3}m^{2}; \\space B=0.75T; \\space t=0.2s;"

"\\alpha=180^{0};"

Solution:

Formula of induced EMF:

"E=-N\\frac{\\Delta\\phi}{\\Delta t};" Let's find "\\Delta\\phi" - magnetic flux though the coil;

"\\Delta\\phi==\\int_0^\u03b1B\\delta(Acos\u03b1)=\\int_0^\\pi B\\delta(Acos\u03b1)=-2BA;" here "B\\space and \\space A \\space constant;"

"E=-N\\frac{\\Delta\\phi}{\\Delta t}=N\\frac{2BA}{t}=50\\times\\frac{2\\times10^{-3}m^{2}\\times0.75T}{0.2s}=0.375V;"

"E=0.375V."

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