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If reversible voltage of 100 V is applied across an inductor, current in it reduces from 0.25A to 0A in 0.025ms. Find inductance of inductor (in mH).
Correct answer is '10'. Can you explain this answer?
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Verified Answer
If reversible voltage of 100 V is applied across an inductor, current ...
∴ L = 100 × 10–4 H
= 10 mH
Most Upvoted Answer
If reversible voltage of 100 V is applied across an inductor, current ...
Given:
Reversible voltage (V) = 100 V
Initial current (I1) = 0.25 A
Final current (I2) = 0 A
Time (t) = 0.025 ms = 0.025 × 10^-3 s
To find:
Inductance (L) in mH
Formula:
The voltage across an inductor is given by the formula:
V = L(di/dt)
Where,
V is the voltage across the inductor,
L is the inductance of the inductor,
di is the change in current, and
dt is the change in time.
Solution:
Step 1: Calculate the change in current (di)
di = I2 - I1 = 0 - 0.25 = -0.25 A
Step 2: Convert the time from milliseconds to seconds
t = 0.025 × 10^-3 s
Step 3: Calculate the voltage across the inductor (V)
V = L(di/dt)
100 = L((-0.25)/(0.025 × 10^-3))
100 = L × (-0.25) × (10^3/0.025)
100 = -10L × 10^3
Dividing both sides by -10 × 10^3
-0.01 = L
Step 4: Convert the inductance from Henrys to millihenrys
L = -0.01 H = -0.01 × 10^3 mH = -10 mH
Since inductance cannot be negative, we take the magnitude of the inductance.
L = 10 mH
Therefore, the inductance of the inductor is 10 mH, which is the correct answer.
Reversible voltage (V) = 100 V
Initial current (I1) = 0.25 A
Final current (I2) = 0 A
Time (t) = 0.025 ms = 0.025 × 10^-3 s
To find:
Inductance (L) in mH
Formula:
The voltage across an inductor is given by the formula:
V = L(di/dt)
Where,
V is the voltage across the inductor,
L is the inductance of the inductor,
di is the change in current, and
dt is the change in time.
Solution:
Step 1: Calculate the change in current (di)
di = I2 - I1 = 0 - 0.25 = -0.25 A
Step 2: Convert the time from milliseconds to seconds
t = 0.025 × 10^-3 s
Step 3: Calculate the voltage across the inductor (V)
V = L(di/dt)
100 = L((-0.25)/(0.025 × 10^-3))
100 = L × (-0.25) × (10^3/0.025)
100 = -10L × 10^3
Dividing both sides by -10 × 10^3
-0.01 = L
Step 4: Convert the inductance from Henrys to millihenrys
L = -0.01 H = -0.01 × 10^3 mH = -10 mH
Since inductance cannot be negative, we take the magnitude of the inductance.
L = 10 mH
Therefore, the inductance of the inductor is 10 mH, which is the correct answer.
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If reversible voltage of 100 V is applied across an inductor, current in it reduces from 0.25A to 0A in 0.025ms. Find inductance of inductor (in mH). Correct answer is '10'. Can you explain this answer?
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If reversible voltage of 100 V is applied across an inductor, current in it reduces from 0.25A to 0A in 0.025ms. Find inductance of inductor (in mH). Correct answer is '10'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If reversible voltage of 100 V is applied across an inductor, current in it reduces from 0.25A to 0A in 0.025ms. Find inductance of inductor (in mH). Correct answer is '10'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If reversible voltage of 100 V is applied across an inductor, current in it reduces from 0.25A to 0A in 0.025ms. Find inductance of inductor (in mH). Correct answer is '10'. Can you explain this answer?.
If reversible voltage of 100 V is applied across an inductor, current in it reduces from 0.25A to 0A in 0.025ms. Find inductance of inductor (in mH). Correct answer is '10'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If reversible voltage of 100 V is applied across an inductor, current in it reduces from 0.25A to 0A in 0.025ms. Find inductance of inductor (in mH). Correct answer is '10'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If reversible voltage of 100 V is applied across an inductor, current in it reduces from 0.25A to 0A in 0.025ms. Find inductance of inductor (in mH). Correct answer is '10'. Can you explain this answer?.
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