Calculate L of a coil that has 15,700 Ω of XL at 12 MHz.

Question

Calculate L of a coil that has 15,700 [latex]\Omega[/latex] of [latex]X_L[/latex] at 12 MHz.

Accepted Answer

[latex]L=\frac{X_L}{2\pi f}=\frac{1}{2\pi f} imes X_L[/latex]

[latex]=\frac{1}{6.28 imes 12 imes 10^6} imes 15,700[/latex]

[latex]= 0.0133 imes 10^{–6} imes 15,700[/latex]

[latex]= 208.8 imes 10^{–6}[/latex] H or 208.8 [latex]\mu [/latex]H

Question 19.6: Calculate L of a coil that has 15,700 Ω of XL at 12 MHz.