3. A circular loop of wire with radius r and resistance R is immersed in a uniform magnetic field pointing out of the screen (B = BO): a) What is the flux through the loop? b) Now suppose B has the following time dependence: 0 0 What is the induced current as a function of time? O O B = Bo coswt where Bo and w are constants. Plot the flux and the induced emf for two full periods (from t = 0 to t = 4π/w) and, ring this time internal, determine when the current flows clockwise and when it flows counter-clockwise. c*) Now suppose B is constant but the loop is mechanically rotated around the vertical with constant angular frequency w as shown below:

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3. A circular loop of wire with radius r and resistance R is immersed in a uniform magnetic field pointing out of the
screen (B = BO):
a) What is the flux through the loop?
b) Now suppose B has the following time dependence:
B = Bo cos wt
where Bo and w are constants. Plot the flux and the induced emf for two full periods (from t = 0 to t = 4π/w) and,
during this time internal, determine when the current flows clockwise and when it flows counter-clockwise.
c*) Now suppose B is constant but the loop is mechanically rotated around the vertical with constant angular frequency
w as shown below:
What is the induced current as a function of time?
Transcribed Image Text:3. A circular loop of wire with radius r and resistance R is immersed in a uniform magnetic field pointing out of the screen (B = BO): a) What is the flux through the loop? b) Now suppose B has the following time dependence: B = Bo cos wt where Bo and w are constants. Plot the flux and the induced emf for two full periods (from t = 0 to t = 4π/w) and, during this time internal, determine when the current flows clockwise and when it flows counter-clockwise. c*) Now suppose B is constant but the loop is mechanically rotated around the vertical with constant angular frequency w as shown below: What is the induced current as a function of time?
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