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Questions and Answers
What can be done to obtain a large deflection of the galvanometer?
What can be done to obtain a large deflection of the galvanometer?
- Slowly move the arrangement towards the test coil.
- Connect the coil to a powerful battery. (correct)
- Change the direction of the current.
- Use an aluminum rod inside the coil.
Which method can demonstrate the presence of an induced current without using a galvanometer?
Which method can demonstrate the presence of an induced current without using a galvanometer?
- Using a digital multimeter to check resistance.
- Connecting another coil wired to a speaker.
- Observing the glow of a small bulb. (correct)
- Measuring the voltage drop across a resistor.
What is the outcome of rotating a coil in a magnetic field?
What is the outcome of rotating a coil in a magnetic field?
- It permanently magnetizes the coil.
- It changes the shape of the magnetic field.
- It generates heat in the coil.
- It induces an electromotive force (emf). (correct)
How does changing the shape of the coil affect the induced emf?
How does changing the shape of the coil affect the induced emf?
In the context of experimental physics, what is primarily highlighted by Michael Faraday's work?
In the context of experimental physics, what is primarily highlighted by Michael Faraday's work?
What is the resistance of the square loop mentioned in the content?
What is the resistance of the square loop mentioned in the content?
What happens to the current when a soft iron rod is placed inside the coil?
What happens to the current when a soft iron rod is placed inside the coil?
What is indicated by the angle $\theta$ between magnetic field $B$ and area $A$?
What is indicated by the angle $\theta$ between magnetic field $B$ and area $A$?
What phenomenon is responsible for the deflection observed in the galvanometer during the experiments?
What phenomenon is responsible for the deflection observed in the galvanometer during the experiments?
What happens to the galvanometer's deflection when coil C2 moves away from coil C1?
What happens to the galvanometer's deflection when coil C2 moves away from coil C1?
What is observed when the tapping key K is pressed in Experiment 6.3?
What is observed when the tapping key K is pressed in Experiment 6.3?
What occurs when the tapping key K is held down continuously?
What occurs when the tapping key K is held down continuously?
In Experiment 6.2, what role does coil C2 play in inducing current in coil C1?
In Experiment 6.2, what role does coil C2 play in inducing current in coil C1?
What is the relationship between movement and induced current as described in the experiments?
What is the relationship between movement and induced current as described in the experiments?
What happens to the galvanometer's pointer when the key is released after being pressed?
What happens to the galvanometer's pointer when the key is released after being pressed?
What is the composition of coils and loops mentioned in the experiments?
What is the composition of coils and loops mentioned in the experiments?
What does the negative sign in the equation for induced emf indicate?
What does the negative sign in the equation for induced emf indicate?
How can the induced emf be increased when using a closed coil?
How can the induced emf be increased when using a closed coil?
In the context of a coil with N turns, what factor affects the total induced emf the most?
In the context of a coil with N turns, what factor affects the total induced emf the most?
Which of the following parameters can be varied to change the magnetic flux?
Which of the following parameters can be varied to change the magnetic flux?
Which scientist is credited with the discovery of electromagnetic induction?
Which scientist is credited with the discovery of electromagnetic induction?
What is the relationship between magnetic flux and the induced emf in a coil?
What is the relationship between magnetic flux and the induced emf in a coil?
What does Eq. (6.4) represent in the context of electromagnetic induction?
What does Eq. (6.4) represent in the context of electromagnetic induction?
Which term is NOT relevant when discussing changing magnetic flux?
Which term is NOT relevant when discussing changing magnetic flux?
What does the symbol 'ω' represent in the equation for induced emf?
What does the symbol 'ω' represent in the equation for induced emf?
If the number of turns in a coil increases, how does this affect the induced emf?
If the number of turns in a coil increases, how does this affect the induced emf?
What is the SI unit of inductance?
What is the SI unit of inductance?
What is the induced emf calculated using Method I?
What is the induced emf calculated using Method I?
In a closely wound coil, how is flux linkage defined?
In a closely wound coil, how is flux linkage defined?
What type of relationship does inductance have with the geometry of the coil?
What type of relationship does inductance have with the geometry of the coil?
Which variable represents the angular velocity in the expression of induced emf?
Which variable represents the angular velocity in the expression of induced emf?
What is the formula for the area of the sector OPQ as derived in the content?
What is the formula for the area of the sector OPQ as derived in the content?
Which of the following describes mutual inductance?
Which of the following describes mutual inductance?
What is the relationship between the velocity v and angular velocity ω in the context of induced emf?
What is the relationship between the velocity v and angular velocity ω in the context of induced emf?
What happens to the induced emf when the magnetic flux through a coil is held constant while the current changes?
What happens to the induced emf when the magnetic flux through a coil is held constant while the current changes?
How is the rate of change of area related to induced emf?
How is the rate of change of area related to induced emf?
The dimensions of inductance can be expressed as?
The dimensions of inductance can be expressed as?
Given that HE = 0.4 G, what is the equivalent value in teslas?
Given that HE = 0.4 G, what is the equivalent value in teslas?
What is the value of the radius R used in the example with metallic spokes?
What is the value of the radius R used in the example with metallic spokes?
What is the angular velocity of the wheel if it rotates at 120 rev/min?
What is the angular velocity of the wheel if it rotates at 120 rev/min?
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Study Notes
Electromagnetic Induction
- Electric flux can be altered by an electric generator or transformer through actions like changing coil shapes, moving coils within magnetic fields, or rotating coils.
- An electromotive force (emf) is induced in coils as the angle between the magnetic field (B) and the area (A) changes.
Faraday's Experiments
- To achieve a large deflection of a galvanometer, strategies include inserting a soft iron rod into the coil, connecting to a strong battery, or moving the entire setup quickly.
- Induced current can be demonstrated without a galvanometer by using a small bulb which lights up due to relative motion between coils.
Faraday's Law
- The emf induced in a coil is calculated mathematically:
- ε = -dΦB/dt
- The negative sign indicates the direction of the induced current.
- For multi-turn coils, the formula for total emf becomes:
- ε = -N(dΦB/dt) where N is the number of turns.
Flux Variation
- Flux (ΦB) through a coil can be varied by changing magnetic field strength (B), coil area (A), or the angle (q) between B and A.
- The induced emf can be increased by increasing the number of turns in a coil.
Induced emf Calculation
- For a rotating loop in a magnetic field, formulas based on geometry and motion are used to calculate the emf induced.
- Example: A wheel with spokes rotating in a magnetic field can induce an emf calculated using:
- Induced emf = (1/2)ωBR² where ω is angular velocity, B is magnetic field strength, and R is radius.
Inductance
- Inductance is defined as the property of a coil where the induced flux through it is proportional to the current flowing through it (ΦB ∝ I).
- The relationship can be expressed as:
- NΦB ∝ I, with inductance being a geometric and material property of the coil.
- Inductance is measured in henries (H) and represents the current-carrying capacity of the coil linked to magnetic field effects.
Mutual Inductance
- Mutual inductance occurs when a current through one coil induces a magnetic flux in a nearby coil, represented as Φ1 for the first coil influenced by the current I2 through the second coil.
- Key parameters include the geometrical dimensions of the coils and the number of turns per unit length.
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