Electromotive Force: E=Vab=IR Explained

[AGGENGR]

The potential difference between the ends of a wire is given by Vab = IR. Combing that with E = Vab we have
E = Vab = IR (ideal source of emf).

" That is, when a positive charge flows around the circuit, the potential rise as it passes through the ideal source is numerically equal to the potential drop as it passes through the remainder of the circuit. Once and are known, this relationship determines the current in the circuit."- I can't seem to understand what this means?

 

[NascentOxygen]

Imagine going around a closed loop in the circuit. As charge goes through the resistor it drops down in potential. As it goes through the battery it rises in potential. Those two potentials are equal in magnitude.

 

[CWatters]

...the potential rise as it passes through the ideal source is numerically equal to the potential drop as it passes through the remainder of the circuit.

If you think about it this is because the "ideal source" and the "remainder of the circuit" are connect to the same two nodes...

See also Kirchhoff's voltage law.

 

[AGGENGR]

Thanks i seem to get it after reading these posts and rereading the chapter! :):):):):):):):):):):):):):):):):):):)

 

[HalfLostAndSearching]

I can explain this concept in simpler terms. Electromotive force (EMF) is a measure of the energy that is created per unit charge in a circuit. It is represented by the symbol E and is measured in volts (V). The equation E=Vab=IR shows that the potential difference (Vab) between the two ends of a wire is equal to the product of the current (I) and the resistance (R) in the circuit. This is known as Ohm's law.

When we combine this equation with the ideal source of EMF, we can see that the potential difference created by the ideal source is equal to the potential difference created by the rest of the circuit. This means that as a positive charge flows through the circuit, the potential will rise as it passes through the ideal source and then drop as it passes through the rest of the circuit. This relationship between the EMF, potential difference, and current helps us to determine the amount of current flowing through the circuit.