Anupright rectangular loop of height a and width b has a lightbulb attached to it, with some resistance R. It is immersed in a constant magnetic field with magnitude B0, pointing into the page. Now you want to turn on the lightbulb by using Faraday’s law of electromagnetic induction. Since the magnetic field is fixed and the dimensions of the loop are also fixed, the only way to change the magnetic flux in the loop is to rotate it, let’s say at some angular speed ω. Write down the value of the magnetic flux as a function of time.

Anupright rectangular loop of height a and width b has a lightbulb attached to it, with some resistance R. It is immersed in a constant magnetic field with magnitude B0, pointing into the page. Now you want to turn on the lightbulb by using Faraday’s law of electromagnetic induction. Since the magnetic field is fixed and the dimensions of the loop are also fixed, the only way to change the magnetic flux in the loop is to rotate it, let’s say at some angular speed ω. Write down the value of the magnetic flux as a function of time.