lecture 6 review: circuit reduction circuit reduction examples practical application temperature...

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• Slide 1
• Lecture 6 Review: Circuit reduction Circuit reduction examples Practical application Temperature measurement Related educational modules: Section 1.5, Lab assignment 2
• Slide 2
• Review: series resistors and voltage division Equivalent resistance:Voltage divider formula:
• Slide 3
• Review: parallel resistance and current division Equivalent resistance:Current divider formula:
• Slide 4
• Checking parallel resistance results The equivalent resistance of a parallel combination of resistors is less than the smallest resistance in the combination Resistance decreases as resistors are added in parallel Range of equivalent resistance: R min is the lowest resistance; N is the number of resistors
• Slide 5
• Slide 6
• Circuit Reduction Series and parallel combinations of circuit elements can be combined into a equivalent elements The resulting simplified circuit can often be analyzed more easily than the original circuit
• Slide 7
• Circuit reduction example 1 Determine the equivalent resistance of the circuit below
• Slide 8
• Circuit reduction example 2 Determine V out in the circuit below.
• Slide 9
• Circuit reduction example 3 In the circuit below, find i 1, V S, and V O.
• Slide 10
• Example 3 continued
• Slide 11
• Slide 12
• Circuit reduction example 4 In the circuit below, determine (a) the equivalent resistance seem by the source, (b) the currents i 1 and i 2
• Slide 13
• Example 4 continued
• Slide 14
• Practical application temperature measurement Design a temperature measurement system whose output voltage increases as temperature increases In general, we will typically have other design objectives For example, power and sensitivity requirements We neglect these for now; lab 2 will provide a more rigorous treatment of this problem
• Slide 15
• Temperature sensors: thermistors Thermistors are sensors whose resistance changes as a function of temperature Thermistors are classified as either NTC (negative temperature coefficient) or PTC (positive temperature coefficient) Resistance increases with temperature for PTCs; Resistance decreases with temperature for NTCs A resistance variation is generally not directly useful; information is generally relayed with voltage We need to convert the resistance change to a voltage change
• Slide 16
• Example thermistor characteristics NTC 10K @ 25 C Negative temperature coefficient thermistor with (nominal) resistance of 10k at 25 C Response:
• Slide 17
• Initial Design Concept Use voltage divider to convert resistance variation to voltage variation Design problem: choose V s and R to obtain desired variation in V out for a given variation in temperature
• Slide 18
• Potential Design Issues Sensitivity Our design requirements may specify a minimum voltage change per degree of temperature change (the sensitivity of the instrumentation system) We can affect the sensitivity with our choice of R Power requirements We can increase the sensitivity by increasing V S Increasing V S increases the power required by the system; increasing power (generally) increases cost The above can cause us to modify or discard our initial design concept!
• Slide 19
• Effect of resistance change on voltage
• Slide 20
• Demo: Change of thermistor resistance with temperature (DMM) Change of output voltage from voltage divider RRTH Intermediate R
• Slide 21