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Calculate the value of emf in an inductor if the value of inductance is 15H and an average current of 5A flows through it in 10s.
- a)15V
- b)7.5V
- c)10V
- d)5.5V
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Calculate the value of emf in an inductor if the value of inductance i...
The expression for emf in an inductive circuit is:
emf= LI/2t, where I/2 is the average current.
Substituting the values from the given question, we get emf= 2.5V.
emf= LI/2t, where I/2 is the average current.
Substituting the values from the given question, we get emf= 2.5V.
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Understanding Inductor and EMF
An inductor is a passive electrical component that stores energy in its magnetic field when electric current flows through it. The electromotive force (emf) generated in an inductor is related to the rate of change of current through it.
Formula for EMF in an Inductor
The formula to calculate the induced emf (E) in an inductor is given by:
E = -L * (ΔI/Δt)
Where:
- E = induced emf in volts
- L = inductance in henries (H)
- ΔI = change in current in amperes (A)
- Δt = time interval in seconds (s)
Given Values
- Inductance (L) = 15 H
- Average current (I) = 5 A
- Time (Δt) = 10 s
Calculating Change in Current
Assuming the current starts from 0 A to reach an average of 5 A, the change in current (ΔI) will be:
ΔI = Final Current - Initial Current = 5 A - 0 A = 5 A
Substituting Values into the Formula
Now, substitute the values into the formula:
E = -15 H * (5 A / 10 s)
Calculating EMF
E = -15 * 0.5 = -7.5 V
The negative sign indicates the direction of induced emf opposing the change in current (Lenz's Law). However, the magnitude of emf is 7.5 V.
Conclusion
Thus, the induced emf in the inductor is 7.5 V, corresponding to option 'B'.
An inductor is a passive electrical component that stores energy in its magnetic field when electric current flows through it. The electromotive force (emf) generated in an inductor is related to the rate of change of current through it.
Formula for EMF in an Inductor
The formula to calculate the induced emf (E) in an inductor is given by:
E = -L * (ΔI/Δt)
Where:
- E = induced emf in volts
- L = inductance in henries (H)
- ΔI = change in current in amperes (A)
- Δt = time interval in seconds (s)
Given Values
- Inductance (L) = 15 H
- Average current (I) = 5 A
- Time (Δt) = 10 s
Calculating Change in Current
Assuming the current starts from 0 A to reach an average of 5 A, the change in current (ΔI) will be:
ΔI = Final Current - Initial Current = 5 A - 0 A = 5 A
Substituting Values into the Formula
Now, substitute the values into the formula:
E = -15 H * (5 A / 10 s)
Calculating EMF
E = -15 * 0.5 = -7.5 V
The negative sign indicates the direction of induced emf opposing the change in current (Lenz's Law). However, the magnitude of emf is 7.5 V.
Conclusion
Thus, the induced emf in the inductor is 7.5 V, corresponding to option 'B'.
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Question Description
Calculate the value of emf in an inductor if the value of inductance is 15H and an average current of 5A flows through it in 10s.a)15Vb)7.5Vc)10Vd)5.5VCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2026 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Calculate the value of emf in an inductor if the value of inductance is 15H and an average current of 5A flows through it in 10s.a)15Vb)7.5Vc)10Vd)5.5VCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the value of emf in an inductor if the value of inductance is 15H and an average current of 5A flows through it in 10s.a)15Vb)7.5Vc)10Vd)5.5VCorrect answer is option 'B'. Can you explain this answer?.
Calculate the value of emf in an inductor if the value of inductance is 15H and an average current of 5A flows through it in 10s.a)15Vb)7.5Vc)10Vd)5.5VCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2026 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Calculate the value of emf in an inductor if the value of inductance is 15H and an average current of 5A flows through it in 10s.a)15Vb)7.5Vc)10Vd)5.5VCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the value of emf in an inductor if the value of inductance is 15H and an average current of 5A flows through it in 10s.a)15Vb)7.5Vc)10Vd)5.5VCorrect answer is option 'B'. Can you explain this answer?.
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