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

In summary, we have a circuit with an Inductor and Resistor connected in series, with values of R1 resistor = 680Ω, resistance of the Inductor's windings (R of L) = 98.2Ω, supply voltage = 13.2V, circuit current = 8.1mA, supply frequency = 50Hz, voltage across R1 = 5.5V, and voltage across the inductor = 10.4V. Using Ohm's Law, we can find the voltage dropped across the resistance of the inductor's windings to be 0.8V. Adding this to the voltage across R1, we get a total of 6.3V
  • #1
TommyJBrown
2
0
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!
 
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  • #2
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.
 
  • #3
Thanks rl bahat.

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

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

What is inductance?

Inductance is the property of an electrical circuit that causes it to oppose any change in current flow. It is measured in Henrys (H) and is represented by the symbol L.

What is resistance?

Resistance is the measure of how much a material or component impedes the flow of electrical current. It is measured in Ohms (Ω) and is represented by the symbol R.

How do inductance and resistance affect AC circuits?

Inductance and resistance both play a role in shaping the behavior of AC circuits. Inductance causes a lag in current flow, while resistance causes a drop in voltage. Together, they create the characteristic impedance of an AC circuit.

What is the difference between inductance and capacitance in AC circuits?

Inductance and capacitance are both properties of AC circuits, but they have opposite effects. While inductance causes a lag in current flow, capacitance causes a lead. This creates a phase difference between voltage and current in AC circuits.

How do you calculate the total impedance in an AC circuit?

The total impedance in an AC circuit is calculated using the equation Z = √(R² + (XL - XC)²), where R is the resistance, XL is the inductive reactance, and XC is the capacitive reactance. This equation takes into account the combined effects of resistance, inductance, and capacitance in the circuit.

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