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Lecture 13 DC Circuit & Kirchhoff’s Rules

Lecture 13 DC Circuit & Kirchhoff’s Rules. Direct current circuits: example. Find the currents in the circuit shown. Direct current circuits: example. Find the currents I 1 and I 2 and the voltage V x in the circuit shown below.

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Lecture 13 DC Circuit & Kirchhoff’s Rules

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  1. Lecture 13DC Circuit&Kirchhoff’s Rules

  2. Direct current circuits: example Find the currents in the circuit shown

  3. Direct current circuits: example Find the currents I1 and I2 and the voltage Vx in the circuit shown below. First find the equivalent resistance seen by the 20 V source: Then find current I by, We now find I1 and I2 directly from the current division rule: Finally, voltage Vx is

  4. Kirchhoff’s Rules • The sum of currents entering any junction must equal the sum of the currents leaving that junction (current or junction rule) . • The sum of the potential differences across all the elements around any closed-circuit loop must be zero (voltage or loop rule). Charge conservation Energy conservation

  5. Kirchhoff’s loop rule Kirchhoff’s Rules

  6. Rules for Kirchhoff’s loop rule Kirchhoff’s Rules

  7. Rules for Kirchhoff’s loop rule Kirchhoff’s Rules

  8. Solving problems using Kirchhoff’s rules Kirchhoff’s Rules

  9. Example

  10. Example • Find all three currents • Need three equations for three unknowns • Note that current directions are already picked for us (sometimes have to pick for yourself) • Use the junction rule first • Alternative two loops

  11. i i i2 i1 Loop 1 i i i2 Find all the currents including directions. • Problem

  12. Example: For the circuit below find I, V1, V2, V3, V4 and the power supplied by the 10 volt source.

  13. (1) In Figure (a) calculate the potential difference between a and c by considering a path that contains R and x2. (2) In Figure 8.33 find the current in each resistor and the potential difference between a and b. Put x1=6.0V, x2=5.0V, x3=4.0V, R1=100W and R2 =50W.

  14. (3) (a)   Find the three currents in Figure 8.34. (b) Find Vab.  Assume that R1=1.0W, R2=2.0W, x1=2.0 V, and x2=x3=4.0V. (4) (a) Find the potential difference between points a and b in the circuit in Figure 8.35. (b) Find the currents I1, I2, and I3 in the circuit.

  15. (5) Determine the current in each of the branches of the circuit shown in figure 8.36. (6) Calculate the power dissipated in each resistor in the circuit shown in figure 8.37.

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