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Question
What is the inductive reactance of a coil of inductance 10mH at a frequency
- 50 Hz
- 1000 Hz
- 20 kHz?
Solution
Given: L = 10 mH = 10 × 10-3 H = 10–2 H,
f1 = 50 Hz,
f2 = 1000 Hz,
f3 = 20 kHz = 20000 Hz
To find:
- The reactance of the coil at 50 Hz (XL)1
- The reactance of the coil at 1000 Hz (XL)2
- Reactance of the coil at 20 kHz (XL)3
Formula: XL = 2πfL
Calculation:
(i) Using formula,
(XL)1 = 2πf1L = 2 × 3.14 × 50 × 10–2
(XL)1 = 3.14 Ω
(ii) Using formula,
(XL)2 = 2πf2L = 2 × 3.14 × 1000 × 10–2
(XL)2 = 62.8 Ω
(iii) Using formula,
(XL)3 = 2πf3L = 2 × 3.14 × 20000 × 10–2
(XL)3 = 1256 Ω
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