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Matt3175
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Homework Statement
Loop of wire with the following properties in a magnetic field B. Find an expression for the magnetic flux through the loop and evaluate the magnetic flux at t=25s.
The magnetic field is uniform but changes strength at time (t) given by
B(t) = B0 exp (kt)Resistance = 20ohms
Radius of loop = 10cm
Angle of loop in magnetic field = 45 degrees
B0 (constant) = 7.00x10^-2 T
k (constant) = 0.250 s^-1
Homework Equations
Flux = AB cos theta
Area of circle = Pi r^2
The Attempt at a Solution
So I'm working out B first from the function as:
B(t) = 7.00x10^-2 T x exp x 0.250 s^-1 x 25s. = 1.189 T
Area of loop = Pi x 0.10m^2 = 0.0314m^2
Then using the flux equation with these values I get:
0.0314 m^2 x 1.189 T x cos45 = 0.0264 Wb
Is this correct? Thanks in advance
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