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# 7. kirchhoff s_rules

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### Transcript

• 1. Kirchhoff’s Rules
• 2. Kirchoff’sRules: Junction Rule
• The algebraic sum of the currents into any junction is zero.
• 3. A junction is an intersection of three or more conductors.
• Kirchoff’sRules: Junction Rule
• The algebraic sum of the currents into any junction is zero.
• 4. I = 0 ( at any junction )
• 5. I is + when it enters a junction.
• 6. I is - when it enters a junction.
• 7. I = 0
• 8. I1 + I2 - I3= 0
• 9. I1 + I2 = I3
I3
• 10. Kirchoff’sRules: Loop Rule
• The algebraic sum of the potential differences or voltages in any loop, including those associated with emfs and those of resistive elements, must equal zero.
• 11. A loop is any closed conducting path.
• 12. V = 0 ( at any loop)
• 13. 3 loops
• Kirchoff’sRules: Loop Rule
• Sign convention for V:
+V
-V:
• electron flow
• Examples:
1. The circuit shown contains two batteries, each with a voltage and an internal resistance, and two resistors. Find: (a) the current in the circuit and (b) the potential difference Vab.
-
+
I
-
+
I
I
I
+
-
I
-
+
• 14. Examples:
2. In the circuit shown, find: (a) the current in resistor R; (b) the resistance R; (c) the unknown voltage V and (d) if the circuit is broken at point x, what is the current in resistor R? (Ans. (a)2.00 A, (b) 5.00 , (c) 42.0 V, (d) 3.5 A )
V=?
a
b
• 15. Examples:
3. Find the voltages V1 and V2 in the circuit below and find the potential difference of point b relative to a. (Ans. V1=18.0 V, V2=7.00 V, Vba=-13.0V.)
V1=?
V2=?
• 16. ---FIN--- 