- #1

lpettigrew

- 115

- 10

- Homework Statement
- Hello, I have foudnt his question which asks

'State the law of conservation of energy and show how this can be simplified to give EMF = V1

+ V2 for two components in series'

- Relevant Equations
- EMF = V1+ V2

Although I am not too sure how to answer this quesion I have tried below.

I realize that an electromotive force is a supply voltage, the energy transferred per unit charge when one type of energy is converted into electrical energy. However, EMF is not actually a force. It is usually measured in units of volts, equivalent to one joule per coulomb of electric charge.

Whereas, a potential difference is is the energy transferred per unit charge when electrical energy is converted into another form of energy. A potential difference is measured in volts, a measure of one volt is equal to one joule of energy being used by one coulomb of charge when it flows between two points in a circuit.

I think that the conservation of energy, being that energy can neither be created nor destroyed - only converted from one form of energy to another, meaning that the total energy of an isolated system remains constant, could be respresented by;

Energy delivered by the battery = Energy transferred to resistor R1 + Energy transferred to resistor R2

Which I think could be simplied to EMF = V1+ V2 but I am not entirely sure how?I was thinking maybe that since V=IR AND Q=It;

W=V*Q

W=V*It

W=IR*It

W=I^2Rt

Energy = power x time

Power = voltage x current

Energy=V*I*t

Work done = energy

I^2Rt=VIt

EMF=E/Q

EMF=I^2Rt/Q

EMF=I^2Rt/It

EMF=IR

EMF=V

For two components this becomes;

EMF=V1+V2

But I think I am loosely grasping at straws here, could someone please help me. Also, where the question asks you to state the conservation of energy, is this to be interpreted in a word format (e.g. energy can neither be created nor destroyed) or via a mathematical representation?

I realize that an electromotive force is a supply voltage, the energy transferred per unit charge when one type of energy is converted into electrical energy. However, EMF is not actually a force. It is usually measured in units of volts, equivalent to one joule per coulomb of electric charge.

Whereas, a potential difference is is the energy transferred per unit charge when electrical energy is converted into another form of energy. A potential difference is measured in volts, a measure of one volt is equal to one joule of energy being used by one coulomb of charge when it flows between two points in a circuit.

I think that the conservation of energy, being that energy can neither be created nor destroyed - only converted from one form of energy to another, meaning that the total energy of an isolated system remains constant, could be respresented by;

Energy delivered by the battery = Energy transferred to resistor R1 + Energy transferred to resistor R2

Which I think could be simplied to EMF = V1+ V2 but I am not entirely sure how?I was thinking maybe that since V=IR AND Q=It;

W=V*Q

W=V*It

W=IR*It

W=I^2Rt

Energy = power x time

Power = voltage x current

Energy=V*I*t

Work done = energy

I^2Rt=VIt

EMF=E/Q

EMF=I^2Rt/Q

EMF=I^2Rt/It

EMF=IR

EMF=V

For two components this becomes;

EMF=V1+V2

But I think I am loosely grasping at straws here, could someone please help me. Also, where the question asks you to state the conservation of energy, is this to be interpreted in a word format (e.g. energy can neither be created nor destroyed) or via a mathematical representation?