# Induced EMF in an Open Loop

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## Main Question or Discussion Point

Let's say you have an open loop (like a section of a circle) in a changing magnetic field. I think there would be an induced EMF, but no current. What I can't figure out, though, is how to calculate the induced EMF. Using Faraday's law doesn't seem to help, as there's no enclosed area.

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scottdave
Homework Helper
Suppose there is EMF (voltage difference) between the ends. What do you think will happen? Would current flow through the wire?

Suppose there is EMF (voltage difference) between the ends. What do you think will happen? Would current flow through the wire?
No, as there's no path for current to flow.

You would need to find the electric field ($\vec{E}$) due to changing magnetic field (by solving Maxwell's Equations), and then compute the voltage across the open loop $C$ by integrating the electric field along it $V=-\int_C \vec{E}.\vec{\hat{l}} dl$

There is a capacitance due to the ends of the wire. Current will flow, due to Xc = 1/(omega*C)