(Current Domain) Reciprocal Of Cube Root

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(Current Domain) Reciprocal Of Cube Root

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Output/load current is approximately equal to the scaled reciprocal of the cube root of the input current Ix. The scaling factor is the cube root of Ik raised to four. Currently all saturation currents (Is) are equal. Ik^4 = Ix · Iout^3 Iout^3 = Ik^4 / Ix Iout = Ik^(4/3) / Ix^(1/3) Estimate of a convenient input current 0.2^3 = 0.008 0.3^3 = 0.027 0.4^3 = 0.064 Scale the reciprocal of the cube root of Ix by 1/100 to obtain a convenient output current Ik^(4/3) = 1/100 Ik = 0.01 ^ (3/4) Ik = 0.03162277660168379331998893544433 Ik ≈ 31.623 mA

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GGoodwin

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Creator

GGoodwin

1116 Circuits

Date Created

7 years, 2 months ago

Last Modified

4 years ago

Tags

  • nonlinear functions
  • multiplicative inverter
  • reciprocal
  • current domain circuits
  • multiplicative inverse
  • cube root
  • reciprocal of cube root