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# Abstract

We performed an experiment to measure the Faraday rotation of polarized light passing through a magnetic field, as well as measuring the Verdet constant of an SF57 glass tube with a length of 0.1 m. Our results are consistent with the general idea of Faraday rotation, which suggests that linearly polarized light experiences rotation when applying a magnetic field. We used three different methods to find Verdet constants, which are Direct Fit, Slope Fit and Lock-in Method. The values we found are $$21\pm 5 \frac{radians}{T \cdot m}$$, $$21.095\pm0.003 \frac{radians}{T \cdot m}$$ and $$20.43\pm0.06 \frac{radians}{T \cdot m}$$ respectively, and those values are consistent with each other within uncertainty.

# Aims

1. To observe Faraday effect in this lab, which says that the rotation of plane of polarization of light changes when applying a magnetic field: $\label{1} I=I_{0}cos^{2}(\theta_1−\theta_0-\phi(B))$ Equation \ref{2} descries the transmission of polarized light through a second polarizer: $\label{2} I=I_{0}cos^{2}(\theta_1−\theta_0)$ where $$I_{0}$$ is the intensity of the light after passing through the first polarizer and $$I$$ is the light intensity passing through both polarizers at angles $$\theta_{1}$$ and $$\theta_{0}$$.

2.To experimentally determine the Verdet constant of a tube made of SF57 glass, which describes the strength of Faraday effect within the glass tube: $\label{3} \varphi_{B}=C_{v}BL$ where $$\varphi$$ is the shift in polarization, B is the strength of applied magnetic field and L is the length of the glass tube. The magnetic field causes a change in polarization, and measuring the Verdet constant of the glass tells us how much change in polarization there was within the glass due to the magnetic field.