# B Induced EMF in an Open Loop

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1. Jun 9, 2018

### person123

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.

2. Jun 9, 2018

### scottdave

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

3. Jun 10, 2018

### person123

No, as there's no path for current to flow.

4. Jun 14, 2018

### vsv86

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 $V=-\int_C \vec{E}.\vec{\hat{l}} dl$

5. Jul 4, 2018

### cabraham

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