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HOW TO: Build a RF Resonator Surface Coil

Figure 2: Sodium MRI Surface Coil
1. Design the ring(s):

1. Lay out copper tape or etch from a copper plate
2. Leave or create breaks for the capacitors
• Try to use symmetry in the coil layout for the most homogeneity
2. Measure the inductance of the coil

• You can use solder to complete the connections where the caps will be
3. Using $\omega = \frac{1}{\sqrt{LC}}$ pick a capacitance to achieve the appropriate resonant frequency

• Other equation C = Lω2
4. Multiply C by the number of capacitors that are included in your circuit

• Do not include the coupling/bridging capacitor in this number of capacitors
• i.e.: if you have 1 bridging capacitor and 3 capacitors around the rest of the circuit, multiply C by 3

6. Match the circuit to the line with the bridging capacitor (generally of a larger capacitance value)

Online Calculator to facilitate the calculations involved in this process.

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