Introduction
The slides cover the following topics:
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DC Circuits
Work done by a battery on charge
Here
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Real Battery and Single Loop circuits… What’s the current ?
Conservation of energy: Kirchoff’s first Law: Sum of voltages in a closed loop is zero.
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Equivalent Resistance Resistors in Series
Series requirements
Apply Ohm’s Law to each resistor
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Resistors in parallel
Parallel requirements
Apply Ohm’s Law to each resistor
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Example 1
What is current through battery?
What is current through i2?
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Kirchhoff’s Rules
Signs for Rule 2
The direction of travel when traversing the loop is from a to b.
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Problem 2
Find the currents in each of the three legs of the circuit,
Three unknowns, need three equations. Also since batteries are in there cannot reduce the resistances since none in parallel or series
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Example: Applying Kirchhoff’s Rules
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Another, example: applying Kirchhoff’s Rules
Solve the equations simultaneously for the values if I. If I is negative the current is in the opposite direction
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RC Circuits and Time dependence
Time dependence
Recall Lab 7! Resistor slows down the charging
of the capacitor
Time dependent behavior (transient) 2 cases: switch at
“a” or at “b”
Discharging Position b:
R=10W
C=1F
How long does it take the capacitor to reach ½ its final charge, if the capacitor is uncharged at t = 0?
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1. Charging the Capacitor
Note : τ = RC
is called the time constant
What are the units?
1. What is a DC circuit? |
2. What is the significance of studying DC circuits in Engineering Electronics and Communication Engineering (ECE)? |
3. What are some common components found in DC circuits? |
4. How do you calculate the total resistance in a DC circuit with multiple resistors? |
5. What is the difference between a series and parallel DC circuit? |
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