Question

The impedance of a circuit is 10 ohms. If the inductive susceptance is 1 S, then inductive reactance of the circuit is

Answer 1

Explanation:

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Answer 2

Answer:

The inductive reactance of the circuit is 20 ohm.

Explanation:

The relationship between impedance and inductive susceptance is given as,

$\mathrm{B_c=\frac{X_c}{Z} }$     (1)

Where,

$\mathrm{B_c}$=inductive susceptance

$\mathrm{X_c}$=capacitive reactance

Z=impedance of the circuit

From the question we have,

The inductive susceptance of the circuit($\mathrm{B_c}$)=1S

The impedance of a circuit(Z)=10 ohms

When the necessary values are entered into equation (1), we obtain;

$\mathrm{1=\frac{X_c}{10} }$

$\mathrm{X_c}=10$    (2)

Now the relationship between impedance, capacitive reactance, and inductive reactance of the circuit is given as,

$\mathrm{Z=\sqrt{(X_L-X_c)^2} }$      (3)

When all the necessary values are entered into equation (3), we obtain;

$\mathrm{10=\sqrt{(X_L-10)^2} }$

$\mathrm{100=(X_L-10)^2}$

$\mathrm{10=(X_L-10)}$

$X_L=10+10=20\Omega$

Hence, the inductive reactance of the circuit is 20 ohm.

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