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If the inductance of a coil is 2 H and the frequency is 50 Hz, what is the induc
If the inductance of a coil is 2 H and the frequency is 50 Hz, what is the inductive reactance?
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Practice Questions
1 question
Q1
If the inductance of a coil is 2 H and the frequency is 50 Hz, what is the inductive reactance?
100 π
100
314
628
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Inductive reactance X_L = 2πfL = 2π(50)(2) = 628 Ω.
Questions & Step-by-step Solutions
1 item
Q
Q: If the inductance of a coil is 2 H and the frequency is 50 Hz, what is the inductive reactance?
Solution:
Inductive reactance X_L = 2πfL = 2π(50)(2) = 628 Ω.
Steps: 7
Show Steps
Step 1: Identify the formula for inductive reactance, which is X_L = 2πfL.
Step 2: Identify the values given in the question: frequency (f) = 50 Hz and inductance (L) = 2 H.
Step 3: Substitute the values into the formula: X_L = 2π(50)(2).
Step 4: Calculate the product of 50 and 2, which is 100.
Step 5: Multiply 100 by 2π. Use the approximate value of π as 3.14 for easier calculation: 100 * 3.14 = 314.
Step 6: Multiply 314 by 2 to get 628.
Step 7: Conclude that the inductive reactance X_L is 628 Ω.
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