As shown in figure "C" of the illustration,...

Question 1 / 270705eccefa3bacbc34ba4d480ce

Question 1 of 270705eccefa3bacbc34ba4d480ce

As shown in figure "C" of the illustration, what would be the circuit impedance if the capacitive reactance is 10 ohms, the inductive reactance is 10 ohms and the resistance is 10 ohms? See illustration EL-0109.

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Question 1 of 27070

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🔍 Key Concepts

• Series R-L-C circuit in figure C (all elements in one loop) • Formula for impedance of a series circuit: Z = √(R² + (X_L − X_C)²) • Condition of resonance when inductive reactance equals capacitive reactance (X_L = X_C)

💭 Think About

• In a series circuit, how do you combine resistance and reactance to find total impedance? • What happens to the net reactance term (X_L − X_C) when the inductive and capacitive reactances are equal in magnitude? • Once you know the net reactance, what does that do to the impedance formula and its numerical value?

✅ Before You Answer

• Confirm from the figure that the resistor, inductor, and capacitor in "C" are in series, not parallel • Compute the net reactance first: X_net = X_L − X_C, using their given values and signs • After finding X_net, plug into Z = √(R² + X_net²) and compare the magnitude you get with the listed answer choices

Question 1 of 27070

5.48 ohms

10 ohms

14.14 ohms

30 ohms