Please further explain this formula about voltage

In summary: If the switch is closed, current flows from E to G. The non-ideal inductor can be modeled as an ideal inductor in series with its resistance. What is the difference between the back emf in the inductor and the p.d across the inductor?The difference is in the directions. Voltage drop is numerically equal to the back emf of the inductor. Their directions are opposite.
  • #1
Clara Chung
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Homework Statement


On the right bottom side ,when the switch is closed the equation is given V(EG)=
upload_2016-8-5_18-31-51.png
+V+V(FG)
The photo is attached

Homework Equations


Concept

The Attempt at a Solution


What is the difference between the back emf in the inductor and the p.d across the inductor? I think the current flow from E to G, the p.d. due to its resistance should be in opposite sign with the back emf in the inductor, but they are in the same sign as shown. Please explain.
 

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  • #2
img022.jpg

When switch is closed, current flows from E to G. The non-ideal inductor can be modeled as an ideal inductor in series with its resistance.
Clara Chung said:
What is the difference between the back emf in the inductor and the p.d across the inductor?
The difference is in the directions. Voltage drop is numerically equal to the back emf of the inductor. Their directions are opposite. If voltage across inductor is 5V at a particular instant, that means 5V from the source are dropped across the inductor and its back emf at that instant is 5V.
 
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  • #3
I tend to think that those two equitions need to be swopped around or alternatively they work if one is to move around the circuit in the anticlockwise direction, that is VGE, which is how they voltages would add up positively if one move up against the current.
 
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  • #4
andrevdh said:
I tend to think that those two equitions need to be swopped around or alternatively they work if one is to move around the circuit in the anticlockwise direction, that is VGE, which is how they voltages would add up positively if one move up against the current.
Yes.

Perhaps VGE represents the potential at G relative to E. So, VGE is the change in potential if you start at E and move to G.

VEG is the change in potential if you start at G and move to E. The equations appear to be written in terms of VEG. The equations appear to me to be correct as written in the text.
 
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  • #5
Clara Chung said:
What is the difference between the back emf in the inductor and the p.d across the inductor?
As cnh1995 pointed out, a practical inductor can be modeled as an ideal inductance in series with a resistance. So when you measure voltage across the terminals of a practical inductor you are measuring the sum of two voltages: voltage due to inductance, ##\color{blue}{L\dfrac{di}{dt}}## + Ohmic drop, ##\color{blue}{i{\cdot}R}##.
 
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1. What is voltage?

Voltage is a measure of the electric potential energy per unit charge in an electric field. It is commonly referred to as the electrical force that drives the flow of electrons through a circuit.

2. How is voltage calculated?

Voltage is calculated by dividing the energy used or released in a circuit by the amount of charge that is flowing through the circuit. It is represented by the symbol V and measured in volts (V).

3. What is the formula for voltage?

The formula for voltage is V = W/Q, where V is voltage, W is the energy used or released in the circuit, and Q is the amount of charge flowing through the circuit. This formula is known as Ohm's law.

4. What are the units for voltage?

Voltage is measured in volts (V), which is equivalent to joules per coulomb (J/C). Other common units for voltage include millivolts (mV), kilovolts (kV), and megavolts (MV).

5. How does voltage affect electronic devices?

Voltage plays a crucial role in determining the performance and functionality of electronic devices. Too little or too much voltage can damage or even destroy electronic components. Devices are designed to operate within a specific voltage range, and exceeding this range can cause malfunctions or failures.

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