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DC Circuit Analysis
ELE 101 / 102 Dept of E & E Engg, MIT Manipal 2
Kirchhoff’s Laws
Kirchhoff’s Current Law (KCL):
Algebraic sum of currents
meeting at a node = 0
Kirchhoff’s Voltage Law(KVL):
Algebraic sum of voltages
around a closed loop = 0
ELE 101 / 102 Dept of E & E Engg, MIT Manipal 3
Sign Convention
Current Law:
Current entering the node => positive
Current leaving the node => negetive
Voltage Law:
Voltage Rise => positive
Voltage Drop => negetive
ELE 101 / 102 Dept of E & E Engg, MIT Manipal 4
Branch Current Method:
Mark different currents in all the branches of the
given network
Current directions are arbitrary
Write KVL equations for the meshes in the network
Solve for the currents
ELE 101 / 102 Dept of E & E Engg, MIT Manipal 5
Branch Current Method
For the circuit shown, determine the current through the galvanometer
using the branch current method
+ -
G
40
20
30
30
10
R
G
=
100
10 V
A
B
+ -
G
40
20
30
30
10
R
G
=
100
10 V
A
B
v
v
v
v
v
v
i1
i2
i3
i1 - i2
i2 - i3
i1+i3-i2
Ans: 9.88 mA

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L8 dc circuits

  • 2. ELE 101 / 102 Dept of E & E Engg, MIT Manipal 2 Kirchhoff’s Laws Kirchhoff’s Current Law (KCL): Algebraic sum of currents meeting at a node = 0 Kirchhoff’s Voltage Law(KVL): Algebraic sum of voltages around a closed loop = 0
  • 3. ELE 101 / 102 Dept of E & E Engg, MIT Manipal 3 Sign Convention Current Law: Current entering the node => positive Current leaving the node => negetive Voltage Law: Voltage Rise => positive Voltage Drop => negetive
  • 4. ELE 101 / 102 Dept of E & E Engg, MIT Manipal 4 Branch Current Method: Mark different currents in all the branches of the given network Current directions are arbitrary Write KVL equations for the meshes in the network Solve for the currents
  • 5. ELE 101 / 102 Dept of E & E Engg, MIT Manipal 5 Branch Current Method For the circuit shown, determine the current through the galvanometer using the branch current method + - G 40 20 30 30 10 R G = 100 10 V A B + - G 40 20 30 30 10 R G = 100 10 V A B v v v v v v i1 i2 i3 i1 - i2 i2 - i3 i1+i3-i2 Ans: 9.88 mA