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6.2.2 Current Divider Rule

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Talia Carbis
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ZT Ix = ( ) I Zx
Where: Ix is the current through the branch ZT is the total impedance of all the parallel branches Zx is the resistance of the branch under investigation I is the total current entering the parallel combination.
Example: If f = 1.432 kHz, R1 = 2.2 kΩ and L1 = 150 mH. What is the total impedance of the parallel resistor and inductor?
Find the inductor's reactance, and then find the total impedance of the R and L components.
XL = 2 π f L XL = 2 x π (1.432 x 10³) x (150 x 10¯³) = 30.4274 Ω
1 = 1 + 1 ZT R1 XL 1 = 1 + 1 ZT 2200 30.4274 ZT = 30.03

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6.2.2 Current Divider Rule

  • 1.
  • 2.
  • 3. ZT Ix = ( ) I Zx
  • 4. Where: Ix is the current through the branch ZT is the total impedance of all the parallel branches Zx is the resistance of the branch under investigation I is the total current entering the parallel combination.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9. Example: If f = 1.432 kHz, R1 = 2.2 kΩ and L1 = 150 mH. What is the total impedance of the parallel resistor and inductor?
  • 10. Find the inductor's reactance, and then find the total impedance of the R and L components.
  • 11. XL = 2 π f L XL = 2 x π (1.432 x 10³) x (150 x 10¯³) = 30.4274 Ω
  • 12. 1 = 1 + 1 ZT R1 XL 1 = 1 + 1 ZT 2200 30.4274 ZT = 30.03