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At what frequency will a coil, which has an inductance of 2.5 H, have a reactance of 3500 Ω?
- a)700Hz
- b)350 Hz
- c)200 Hz
- d)223 Hz
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
At what frequency will a coil, which has an inductance of 2.5 H, have ...
f = XL/2πL
f = 3500/(2×3.14×2.5)
f = 222.9 Hz ≈ 223 Hz
Therefore, the frequency of a coil having reactance of 3500 Ω is 223 Hz.
f = 3500/(2×3.14×2.5)
f = 222.9 Hz ≈ 223 Hz
Therefore, the frequency of a coil having reactance of 3500 Ω is 223 Hz.
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Community Answer
At what frequency will a coil, which has an inductance of 2.5 H, have ...
Calculating the Frequency of the Coil:
To calculate the frequency at which a coil with an inductance of 2.5 H will have a reactance of 3500 Ω, we can use the formula:
\[
X_L = 2πfL
\]
Where:
- \( X_L \) is the inductive reactance (3500 Ω in this case)
- \( f \) is the frequency we want to find
- \( L \) is the inductance of the coil (2.5 H)
Solving for Frequency:
Substitute the given values into the formula and solve for the frequency:
\[
3500 = 2πf(2.5)
\]
\[
3500 = 5πf
\]
\[
f = \frac{3500}{5π}
\]
\[
f ≈ \frac{3500}{15.7}
\]
\[
f ≈ 223 \text{ Hz}
\]
Therefore, the frequency at which a coil with an inductance of 2.5 H will have a reactance of 3500 Ω is approximately 223 Hz. So, the correct answer is option 'D'.
To calculate the frequency at which a coil with an inductance of 2.5 H will have a reactance of 3500 Ω, we can use the formula:
\[
X_L = 2πfL
\]
Where:
- \( X_L \) is the inductive reactance (3500 Ω in this case)
- \( f \) is the frequency we want to find
- \( L \) is the inductance of the coil (2.5 H)
Solving for Frequency:
Substitute the given values into the formula and solve for the frequency:
\[
3500 = 2πf(2.5)
\]
\[
3500 = 5πf
\]
\[
f = \frac{3500}{5π}
\]
\[
f ≈ \frac{3500}{15.7}
\]
\[
f ≈ 223 \text{ Hz}
\]
Therefore, the frequency at which a coil with an inductance of 2.5 H will have a reactance of 3500 Ω is approximately 223 Hz. So, the correct answer is option 'D'.
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At what frequency will a coil, which has an inductance of 2.5 H, have a reactance of 3500 Ω?a)700Hzb)350 Hzc)200 Hzd)223 HzCorrect answer is option 'D'. Can you explain this answer?
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At what frequency will a coil, which has an inductance of 2.5 H, have a reactance of 3500 Ω?a)700Hzb)350 Hzc)200 Hzd)223 HzCorrect answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about At what frequency will a coil, which has an inductance of 2.5 H, have a reactance of 3500 Ω?a)700Hzb)350 Hzc)200 Hzd)223 HzCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At what frequency will a coil, which has an inductance of 2.5 H, have a reactance of 3500 Ω?a)700Hzb)350 Hzc)200 Hzd)223 HzCorrect answer is option 'D'. Can you explain this answer?.
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