Simple KVL (kirchhoff's voltage law) problem

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SUMMARY

The discussion centers on the application of Kirchhoff's Voltage Law (KVL) in specific circuit scenarios. The original poster questions the validity of KVL when certain terms, such as electromotive force (E) and current-resistor products (IR), are absent in provided circuit diagrams. Respondents clarify that in cases where E=0, the sum of IR terms must also equal zero, indicating no current flows. They also explain that in open circuits, the sum of voltages around a closed loop equals zero, reinforcing the principles of KVL.

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PainterGuy
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hello everyone,:wink:

my book says:
\sum E = \sumIR

where E is emf. it says the sum of all emfs equal sum of all IR terms.

1:-- please have a look on this PDF
https://docs.google.com/viewer?a=v&...ljMzctZjQxNzNlNjZlMGMy&hl=en&authkey=CNnjye8P

in the highlighted part - the equation #3 - there is no "E". how can we apply KVL when there is no "E".

2:-- and in this PDF (the highlighted part):
https://docs.google.com/viewer?a=v&...gwOTYtOGQzN2NmMmFjNTRh&hl=en&authkey=CM62nsYK

there is no IR terms and Vcd is neither E nor IR. so how can we apply KVL here?

please help me with this KVL problem as soon as possible. i am very grateful for your helping me out. many thanks.

cheers
 
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hello,

will someone please help me with this? it will be generous of you. is what book says incorrect?

cheers
 
please, please, help me on this.

cheers
 
It's a very long time since I did anything like this but I can't see a problem.

In (1) in loop 3, if E=0, then sum(IxR)=0 which can only be achieved by having I=0. There is no voltage driving a net current round the triangle of three resistors so that seems sensible.

In (2) we know sum(IxR)=0 because it is an open circuit so sum(V)=0 round the closed loop You can think of it as calculating the battery that would have to be connected across C-D to exactly cancel out the emf provided by the two that are already there so that no current would flow when the loop is closed.
 
PainterGuy said:
hello everyone,:wink:

my book says:
\sum E = \sumIR

where E is emf. it says the sum of all emfs equal sum of all IR terms.

1:-- please have a look on this PDF
https://docs.google.com/viewer?a=v&...ljMzctZjQxNzNlNjZlMGMy&hl=en&authkey=CNnjye8P

in the highlighted part - the equation #3 - there is no "E". how can we apply KVL when there is no "E".

2:-- and in this PDF (the highlighted part):
https://docs.google.com/viewer?a=v&...gwOTYtOGQzN2NmMmFjNTRh&hl=en&authkey=CM62nsYK

there is no IR terms and Vcd is neither E nor IR. so how can we apply KVL here?

please help me with this KVL problem as soon as possible. i am very grateful for your helping me out. many thanks.

cheers

the page in the link "1" was not properly rotated. here is proper page:--
https://docs.google.com/viewer?a=v&...I4ODgtNGUwODhiZTE4MDM5&hl=en&authkey=CPzZ4vsE


varialectio said:
It's a very long time since I did anything like this but I can't see a problem.

In (1) in loop 3, if E=0, then sum(IxR)=0 which can only be achieved by having I=0. There is no voltage driving a net current round the triangle of three resistors so that seems sensible.

In (2) we know sum(IxR)=0 because it is an open circuit so sum(V)=0 round the closed loop You can think of it as calculating the battery that would have to be connected across C-D to exactly cancel out the emf provided by the two that are already there so that no current would flow when the loop is closed.


Hi varialectio,

Many thanks for this help. I would keep on reading your reply several times and if I have any question I will ask. Much grateful this kind help.

Cheers
 
Last edited:

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