Question

Asked Jan 16, 2020

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The impedance Z (ohms) in a series circuit is related to the resistance R (ohms) and reactance X (ohms) by the equation Z = sqrt(R2 + X2). If R is increasing at 3 ohms/sec and X is decreasing at 2 ohms/sec, at what rate is Z changing when R = 10 ohms and X = 20 ohms?

Step 1

Given,

Step 2

Now differentiating Z with respect to t, we get

Step 3

Now,

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