PHY 206 Midterm: PHY 207 UMiami Spring07 3

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31 Jan 2019
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A magnetic field b, directed toward the negative z direction, fills the space with x>0. The magnitude of the magnetic field changes with distance x" from the y-axis according to the expression: In the circuit shown, the charge q on capacitor c is initially zero. In the rc circuit shown, the capacitor, with capacitance c, is built using two circular, parallel plates placed at a distance d from each other. The capacitor is initially charged with charge qo and at time t=0, the switch s is closed. Calculate the displacement current, as a function of time, through the loop: use ampere"s law to calculate the magnetic field b as a function of time at point. Assume that the displacement current is the sole responsible for the magnetic field, and neglect any edge effect in the capacitor. Remember to write your answers in terms of vectors!

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