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The magnetic flux linked with the coil (in Weber) is given by the equation:
φ = 5t2 + 3t + 16 The induced EMF in the coil at time, t = 4 will be:
  • a)
    - 27 V
  • b)
    - 43 V
  • c)
    - 108 V
  • d)
    210 V
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The magnetic flux linked with the coil (in Weber) is given by the equa...
φ = 5t2 + 3t + 16
 |e| = dφ/dt
= d/dt(5t2 + 3t + 16)
= 10t + 3
|e|t=4 = 10(4) + 3 = 43 V
e = - 43 Volts
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Most Upvoted Answer
The magnetic flux linked with the coil (in Weber) is given by the equa...
The magnetic flux linked with the coil (in Weber) is given by the equation:

Φ = B * A * cos(θ)

Where:
- Φ is the magnetic flux linked with the coil, measured in Weber (Wb).
- B is the magnetic field strength, measured in Tesla (T).
- A is the cross-sectional area of the coil, measured in square meters (m^2).
- θ is the angle between the magnetic field lines and the normal to the coil's surface.

This equation represents the relationship between the magnetic field strength, the cross-sectional area of the coil, and the angle at which the magnetic field lines intersect the coil. The magnetic flux is a measure of the total magnetic field passing through the coil.
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Read the following text and answer the following questions on the basis of the same:Super magnet The term super magnet is a broad term and encompasses several families of rare-earth magnets that include seventeen elements in the periodic table; namely scandium, yttrium, and the fifteen lanthanides. These elements can be magnetized, but have Curie temperatures below room temperature. This means that in their pure form, their magnetism only appears at low temperatures. However, when they form compounds with transition metals such as iron, nickel, cobalt, etc. Curie temperature rises well above room temperature and they can be used effectively at higher temperatures as well. The main advantage they have over conventional magnets is that their greater strength allows for smaller, lighter magnets to be used. Super magnets are of two categories: (i) Neodymium magnet: These are made from an alloy of neodymium, iron, and boron. This material is currently the strongest known type of permanent magnet. It is typically used in the construction of head actuators in computer hard drives and has many electronic applications, such as electric motors, appliances, and magnetic resonance imaging (MRI). (ii) Samarium-cobalt magnet: These are made from an alloy of samarium and cobalt. This second strongest type of rare Earth magnet is also used in electronic motors, turbo-machinery, and because of its high temperature range tolerance may also have many applications for space travel, such as cryogenics and heat resistant machinery. Rare-earth magnets are extremely brittle and also vulnerable to corrosion, so they are usually plated or coated to protect them from breaking, chipping, or crumbling into powder. Since super magnets are about 10 times stronger than ordinary magnets, safe distance should be maintained otherwise these may damage mechanical watch, CRT monitor, pacemaker, credit cards, magnetically stored media etc. These types of magnets are hazardous for health also. The greater force exerted by rare-earth magnets creates hazards that are not seen with other types of magnet. Magnets larger than a few centimeters are strong enough to cause injuries to body parts pinched between two magnets or a magnet and a metal surface, even causing broken bones. Neodymium permanent magnets lose their magnetism 5% every 100 years. So, in the truest sense Neodymium magnets may be considered as a permanent magnet.Super magnets are about _____ time stronger than ordinary magnets.

Read the following text and answer the following questions on the basis of the same:Super magnetThe term super magnet is a broad term and encompasses several families of rare-earth magnets that include seventeen elements in the periodic table; namely scandium, yttrium, and the fifteen lanthanides. These elements can be magnetized, but have Curie temperatures below room temperature. This means that in their pure form, their magnetism only appears at low temperatures. However, when they form compounds with transition metals such as iron, nickel, cobalt, etc. Curie temperature rises well above room temperature and they can be used effectively at higher temperatures as well. The main advantage they have over conventional magnets is that their greater strength allows for smaller, lighter magnets to be used. Super magnets are of two categories: (i) N eodymium magnet: These are made from an alloy of neodymium, iron, and boron. This material is currently the strongest known type of permanent magnet. It is typically used in the construction of head actuators in computer hard drives and has many electronic applications, such as electric motors, appliances, and magnetic resonance imaging (MRI). (ii) Samarium-cobalt magnet: These are made from an alloy of samarium and cobalt. This second strongest type of rare Earth magnet is also used in electronic motors, turbo-machinery, and because of its high temperature range tolerance may also have many applications for space travel, such as cryogenics and heat resistant machinery. Rare-earth magnets are extremely brittle and also vulnerable to corrosion, so they are usually plated or coated to protect them from breaking, chipping, or crumbling into powder. Since super magnets are about 10 times stronger than ordinary magnets, safe distance should be maintained otherwise these may damage mechanical watch, CRT monitor, pacemaker, credit cards, magnetically stored media etc.These types of magnets are hazardous for health also. The greater force exerted by rare-earth magnets creates hazards that are not seen with other types of magnet. Magnets larger than a few centimeters are strong enough to cause injuries to body parts pinched between two magnets or a magnet and a metal surface, even causing broken bones. Neodymium permanent magnets lose their magnetism 5% every 100 years. So, in the truest sense Neodymium magnets may be considered as a permanent magnet.Curie point of pure rare Earth elements is

The magnetic flux linked with the coil (in Weber) is given by the equation:φ = 5t2 + 3t + 16 The induced EMF in the coil at time, t = 4 will be:a)- 27 Vb)- 43 Vc)- 108 Vd)210 VCorrect answer is option 'B'. Can you explain this answer?
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