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Related RatesImpedance in a series circuit The impedance Z
Chapter 3, Problem 146PE(choose chapter or problem)
Problem 146PE
Related Rates
Impedance in a series circuit The impedance Z (ohms) in a series circuit is related to the resistance R (ohms) and reactance X (ohms) by the equation If R is increasing at 3 ohms/sec and X is decreasing at 2 ohms/sec, at what rate is Z changing when and changing when R = 10 ohms and X = 20 ohms?
Questions & Answers
QUESTION:
Problem 146PE
Related Rates
Impedance in a series circuit The impedance Z (ohms) in a series circuit is related to the resistance R (ohms) and reactance X (ohms) by the equation If R is increasing at 3 ohms/sec and X is decreasing at 2 ohms/sec, at what rate is Z changing when and changing when R = 10 ohms and X = 20 ohms?
ANSWER:
Solution:
Step 1 of 4:
In this problem, we have to find the rate of change of impedance if R is increasing at 3 ohms/sec and X is decreasing at 2 ohms/sec when R = 10 ohms and X = 20 ohms.
Given that
Impedance in a series circuit the impedance Z (ohms) in a series circuit is related to the resistance R (ohms) and reactance X (ohms) by the equation.