In a series circuit, the total impedance (ZT) is the sum of the individual impedances. The impedance of a resistor (R) is just its resistance, and it's purely real. The impedance of an inductor (XL) is purely imaginary, as is the impedance of a capacitor (XC), but they have opposite signs because they react to the AC signal in opposite ways.

The impedance of the resistor is 5 Ω.

The impedance of the inductor is j10 Ω.

The impedance of the capacitor is -j15 Ω.

When you add these together, you get:

ZT = R + XL + XC = 5 Ω + j10 Ω - j15 Ω = 5 Ω - j5 Ω.

So, the correct answer is b. 5 Ω - j5 Ω.

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In a series circuit, the total impedance (ZT) is the sum of the individual impedances. The impedance of a resistor (R) is just its resistance, and it's purely real. The impedance of an inductor (XL) is purely imaginary, as is the impedance of a capacitor (XC), but they have opposite signs because they react to the AC signal in opposite ways.

The impedance of the resistor is 5 Ω.

The impedance of the inductor is j10 Ω.

The impedance of the capacitor is -j15 Ω.

When you add these together, you get:

ZT = R + XL + XC = 5 Ω + j10 Ω - j15 Ω = 5 Ω - j5 Ω.

So, the correct answer is b. 5 Ω - j5 Ω.

Knowee AI · Accepted Answer

In a series circuit, the total impedance (ZT) is the sum of the individual impedances. The impedance of a resistor (R) is just its resistance, and it's purely real. The impedance of an inductor (XL) is purely imaginary, as is the impedance of a capacitor (XC), but they have opposite signs because they react to the AC signal in opposite ways.

The impedance of the resistor is 5 Ω.

The impedance of the inductor is j10 Ω.

The impedance of the capacitor is -j15 Ω.

When you add these together, you get:

ZT = R + XL + XC = 5 Ω + j10 Ω - j15 Ω = 5 Ω - j5 Ω.

So, the correct answer is b. 5 Ω - j5 Ω.

hat is the total impedance ZT of a series network consisting of a 5 Ω resistor, an inductor having 10 Ω reactance, and a capacitor with 15 Ω reactance?Select one:a.5 Ω + j5 Ωb.5 Ω - j5 Ωc.5 Ω - j25 Ωd.5 Ω + j25 Ω

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