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ElectricalBasic Electrical

If voltage drop across inductor is 100V and current is 5A, what is value of inductive reactance?

10 $\Omega$

20 $\Omega$

30 $\Omega$

40 $\Omega$

Correct Answer

Direct FormulaElectricalBasic Electrical

Option B

20 $\Omega$

Quick Summary: Given: Voltage drop across the inductor V = 100V, Current through the inductor I = 5A.

📋 Given

Voltage drop across the inductor V = 100V, Current through the inductor I = 5A.

🔢 Formula Used

XL=VIX_L = \frac{V}{I}XL​=IV​

🔢 Step-by-Step Solution

Identify given parameters

Identify the voltage across the inductor ( $V$ ) and the current flowing through it ( $I$ ).

V=100V,I=5AV = 100V, I = 5AV=100V,I=5A

State the reactance formula

The inductive reactance ( $X_L$ ) is given by the ratio of voltage to current in an ideal inductor.

XL=VIX_L = \frac{V}{I}XL​=IV​

Perform the calculation

Substitute the given values into the formula to find $X_L$ .

XL=100V5A=20ΩX_L = \frac{100V}{5A} = 20\OmegaXL​=5A100V​=20Ω

✅

B is correct because the inductive reactance is calculated as the ratio of voltage drop to current, resulting in 20Ω.

Core Concepts Used

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💡 EXAM TIP

In AC circuits, remember that reactance $X_L = 2\pi fL$ depends on frequency; if frequency were zero (DC), the inductor would act as a short circuit.

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