How Do You Calculate Voltage Drop in a Series Inductor and Resistor Circuit?

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SUMMARY

The discussion focuses on calculating voltage drop in a series circuit containing an inductor and a resistor. The circuit parameters include a resistor value of 680Ω, an inductor winding resistance of 98.2Ω, a supply voltage of 13.2V, and a circuit current of 8.1mA. Using Ohm's Law, the voltage drop across the inductor's resistance is calculated to be 0.8V, while the voltage across the resistor is confirmed at 5.5V, leading to a total voltage drop of 6.3V across both components. The discussion concludes with a method for drawing a phasor diagram to determine the voltage across the pure inductance.

PREREQUISITES
  • Understanding of Ohm's Law
  • Knowledge of series circuits
  • Familiarity with phasor diagrams
  • Basic concepts of inductance and resistance
NEXT STEPS
  • Learn how to calculate total impedance in R-L circuits
  • Study phasor representation of AC circuits
  • Explore the effects of frequency on inductive reactance
  • Investigate the use of simulation tools like LTspice for circuit analysis
USEFUL FOR

Electrical engineers, students studying circuit theory, and anyone involved in designing or analyzing R-L circuits will benefit from this discussion.

TommyJBrown
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1. Inductor & Resistor connected in series
A circuit comprising of an Inductor & Resistor connected in series.
The values are:
R1 resistor Value 680Ω
Resistance of the Inductor's Windings: (R of L) 98.2Ω
Supply Voltage: 13.2V
Circuit Current: 8.1mA
Supply Freq: 50Hz
Voltage across the resistor R1 5.5V
Voltage across the inductor 10.4V

Questions:
1. Use Ohm's Law to find the voltage dropped across the resistance of the inductor's windings (R of L)

2. Add this value to the voltage dropped across the resistor R1

3. Draw a scaled phasor diagram of the resistive voltage and the supply voltage, to find the voltage dropped across the pure inductance.

My solution so far:

1. = 8.1mA * 98.2Ω = 0.8V
Voltage dropped across R1 = 8.1mA * 680Ω = 5.5V

2. = 0.8V + 5.5v = 6.3V

3. This is where I get stuck

Can anyone Help!
 
Last edited:
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Draw a line AB of length 13.2 cm, which represents the supply voltage. From A draw an arc of length 5.5 cm, which represents voltage across R. From B draw an arc of length 10.4 cm, which represent the voltage across L.. Find the point of intersection C. Join AC. Drop a perpendicular from B to AC produced. The length of the perpendicular is the voltage across the pure inductance.
 
Thanks rl bahat.

That works fine... I couldn't see the wood for the trees!
Once again
Cheers
Tommy
 

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