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Questions and Answers
A conducting loop is placed in a uniform magnetic field. The magnetic flux through the loop changes when:
A conducting loop is placed in a uniform magnetic field. The magnetic flux through the loop changes when:
- The loop is rotated about an axis parallel to the magnetic field.
- The magnetic field strength is increased. (correct)
- The loop is moved in a direction perpendicular to the magnetic field.
- The shape of the loop is changed while it is kept inside the field. (correct)
A thin conducting rod of length 'l' moves with a constant velocity 'v' in a uniform magnetic field 'B' perpendicular to the rod. The motional emf induced across the rod is given by:
A thin conducting rod of length 'l' moves with a constant velocity 'v' in a uniform magnetic field 'B' perpendicular to the rod. The motional emf induced across the rod is given by:
- Blv^2
- Bl^2v
- Bvl (correct)
- B^2lv
A coil of N turns is rotated in a uniform magnetic field. The maximum emf induced in the coil occurs when:
A coil of N turns is rotated in a uniform magnetic field. The maximum emf induced in the coil occurs when:
- The plane of the coil is perpendicular to the magnetic field.
- The angle between the plane of the coil and the magnetic field is 60°.
- The plane of the coil is parallel to the magnetic field. (correct)
- The angle between the plane of the coil and the magnetic field is 45°.
A solenoid with N turns and length 'l' carries a current 'I'. The magnetic field inside the solenoid is given by:
A solenoid with N turns and length 'l' carries a current 'I'. The magnetic field inside the solenoid is given by:
A conducting loop is placed near a long straight wire carrying a current. If the current in the wire is increased, the induced current in the loop will:
A conducting loop is placed near a long straight wire carrying a current. If the current in the wire is increased, the induced current in the loop will:
A bar magnet is moved towards a stationary conducting loop. The direction of the induced current in the loop is determined by:
A bar magnet is moved towards a stationary conducting loop. The direction of the induced current in the loop is determined by:
A metal rod of length 'l' rotates with angular velocity 'ω' in a uniform magnetic field 'B' perpendicular to the plane of rotation. The motional emf induced across the ends of the rod is given by:
A metal rod of length 'l' rotates with angular velocity 'ω' in a uniform magnetic field 'B' perpendicular to the plane of rotation. The motional emf induced across the ends of the rod is given by:
The phenomenon of self-induction is observed in:
The phenomenon of self-induction is observed in:
What is the relationship between the magnetic flux linked with each turn of a coil and the current flowing through it?
What is the relationship between the magnetic flux linked with each turn of a coil and the current flowing through it?
What is the SI unit of the coefficient of self-inductance?
What is the SI unit of the coefficient of self-inductance?
In the formula $L = \frac{NΦB}{I}$, what does L represent?
In the formula $L = \frac{NΦB}{I}$, what does L represent?
What occurs when the electric current in the primary coil changes?
What occurs when the electric current in the primary coil changes?
What is the formula for the self-inductance L of a solenoid with a core?
What is the formula for the self-inductance L of a solenoid with a core?
What does the coefficient of mutual inductance M indicate?
What does the coefficient of mutual inductance M indicate?
What does the term 'N' represent in the self-inductance formula?
What does the term 'N' represent in the self-inductance formula?
According to Faraday's law, what is the relationship between the induced emf and the rate of change of magnetic flux?
According to Faraday's law, what is the relationship between the induced emf and the rate of change of magnetic flux?
Flashcards
Magnetic Flux
Magnetic Flux
The product of the magnetic field strength (B) and the area (A) perpendicular to the field. It represents the amount of magnetic field lines passing through a given surface.
Faraday's Law of Electromagnetic Induction (First Law)
Faraday's Law of Electromagnetic Induction (First Law)
The induced electromotive force (emf) in a circuit is equal to the negative rate of change of magnetic flux through it.
Lenz's Law: Opposing Change
Lenz's Law: Opposing Change
The direction of the induced current or emf is such that it opposes the change in magnetic flux that caused it.
Motional emf
Motional emf
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Lorentz Force
Lorentz Force
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Self-Induction
Self-Induction
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Electromagnetic Induction
Electromagnetic Induction
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Induced Current
Induced Current
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What is coefficient of self-induction?
What is coefficient of self-induction?
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How is magnetic flux linked to current in a coil?
How is magnetic flux linked to current in a coil?
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What is the self-inductance of a long solenoid?
What is the self-inductance of a long solenoid?
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How does a core's permeability affect self-inductance?
How does a core's permeability affect self-inductance?
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What is mutual inductance?
What is mutual inductance?
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What is the coefficient of mutual inductance?
What is the coefficient of mutual inductance?
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How is induced emf related to current change in mutual inductance?
How is induced emf related to current change in mutual inductance?
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What is the mutual inductance of two long coaxial solenoids?
What is the mutual inductance of two long coaxial solenoids?
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Study Notes
Electromagnetic Induction
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Magnetic Flux: The product of the magnetic field strength (B) and the area (A) of a surface perpendicular to the field. Measured in webers (Wb). Formula: Φ = B⋅A
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Faraday's Law of Electromagnetic Induction (First Law): A changing magnetic flux through a circuit sets up an induced electromotive force (emf) whose magnitude is equal to the rate of change of magnetic flux.
Formula: ε = -ΔΦ/Δt
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Faraday's Law of Electromagnetic Induction (Second Law): The direction of the induced current is such that it opposes the change producing it (Lenz's Law).
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Induced Current: If the circuit is closed, the induced emf will drive an induced current through the circuit.
Formula: I = ε/R (where R is total resistance)
Motional EMF
- A moving conductor in a magnetic field experiences a motional EMF.
Formula: ε = Bvl
- Where B is the magnetic field, v is the velocity of the conductor, and l is the length of the conductor in the field
Self-Induction
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Self-Induction: The phenomenon of electromagnetic induction in a coil in which a changing current in the coil itself induces an opposing self-induced emf.
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Coefficient of Self-Induction (Inductance): A property of a coil that measures the opposition it offers to changes in the current flowing through it. Represented by the symbol L. Measured in henries (H).
Formula: L = NΦ/I
Mutual Induction
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Mutual Induction: The phenomenon of inducing an emf in one coil due to a change in current flowing in a nearby coil.
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Coefficient of Mutual Induction (M): A measure of the degree to which two coils interact magnetically. Measured in henries (H).
Eddy Currents
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Eddy Currents: Induced currents that circulate within a conductor in response to a changing magnetic field.
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Disadvantages: Eddy currents generate heat, leading to energy loss and overheating.
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Methods to Reduce Eddy Currents: Using laminated materials (thin layers insulated) or creating holes/slits to reduce the area available for eddy current flow. This limits current paths.
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