KVL & KCL

Presentation on Kirchhof's Circuit Laws

1. KIRCHHOFF’S CIRCUIT
LAW

2. INVENTOR
Gustav Kirchhoff (1824-1887)

3. LAWS
KIRCHHOFF’S CURRENT LAW (KCL)
KIRCHHOFF’S VOLTAGE LAW (KVL)

4. CONTENTS
State & Explanation
Example
Application

5. STATE & EXPLANATION (KCL)
Ref:https://www.google.com/search?
biw=1242&bih=602&tbm=isch&sa=1&ei=OfEuWoes
F8qKvQTi56OYAQ&q=kirchhoff

6. STATE & EXPLANATION (KVL)
Ref:https://www.google.com/search?
q=kvl&source=lnms&tbm=isch&sa=X&ved=0ahUKE
wib09OzmYPYAhVHuY8KHbgvABMQ_AUICygC&b
iw=1242&bih=557#imgrc

7. EXAMPLE (KCL)
Find i and v in the given circuit
Applying KCl at node a, and, v = iR

0.5i + 3 = i => v = 6 * 4

=> 0.5i = 3 => v = 24 V
=> i = 6 A Ans :
Ans :
4Ω

8. EXAMPLE (KVL)
Find i and v
x
in the given circuit
Here , V
x
= 10i,
Applying KVL, -35 + 10i + 2V
x
+ 5i = 0
=> -35 + 10i + 20i+ 5 i= 0
=> 35i = 35
=> i = 1 A
Ans:
Then, V
x
= 10i
=> V
x
= 1v
Ans:
Ref:https://www.google.com/
search?
q=kvl+example&source=lnms&tbm
=isch&sa
i

9. APPLICATION (KCL)
KCL
ÞTo combine current sources in parallel
Total Current, I
T
+ I
2
= I
1
+ I
3
=> I
T
= I
1
- I
2
+ I
3
(B)

10. APPLICATION (KVL)
KVL
ÞTo find the total voltage
Total voltage,
-V
ab
+ V
1
- V
2
= 0
=> V
ab
= V
1
- V
2
(A)
(B)
V
ab