Time Dependent Magnetic Field#

Part 1#

A rectangular wire loop with length \(a\) and width \(b\) lies in the xy-plane, as shown below. Within the loop there is a time-dependent magnetic field given in the figure below in units of tesla. Determine the emf induced in the loop as a function of time.


Answer Section#

  • \(\frac{-Cab^2{\omega}}{2}\)cos(\({\omega}t\))

  • \(\frac{Cab^2{\omega}}{2}\)cos(\({\omega}t\))

  • \(\frac{-Cab^2{\omega}}{2}\)sin(\({\omega}t\))

  • \(\frac{Cab^2{\omega}}{2}\)sin(\({\omega}t\))

  • \(-Cab{\omega}\)sin(\({\omega}t\))


Problem is from the OpenStax University Physics Volume 2 textbook, licensed under the CC-BY 4.0 license.
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