Magnetic Flux

Correct answer: magnetic flux density

Explanation:
The magnetic flux density is defined as the magnetic flux passing through a unit area perpendicular to the magnetic field.

Mathematically: where:
= magnetic flux density (in tesla)
= magnetic flux (in weber)
= area (in m²)

Other options:
- Magnetic moment: relates to torque experienced by a magnet in a magnetic field.
- Magnetic pole strength: a measure of strength of a magnetic pole.
- Electromotive force (emf): the voltage generated by a source like a battery or generator.

Hence, the correct answer is: magnetic flux density.

Correct answer: weber and tesla

Explanation:
- The SI unit of magnetic flux is weber (Wb).
- The SI unit of magnetic flux density (also called magnetic field strength) is tesla (T).
They are related by the formula:
where:
= magnetic flux density (in tesla)
= magnetic flux (in weber)
= area (in m²)

Hence, the correct answer is: weber and tesla.

In electromagnetism, the term "Weber" is used to denote the unit of magnetic flux in the International System of Units (S.I.).

Magnetic flux, represented by the symbol Φ, quantifies the total magnetic field (perpendicular to a surface) over an area. Its mathematical expression is given by the integral of the magnetic field B over a surface S:

Φ = ∫_S B · dA

Where:

• B represents the magnetic flux density.
• dA is a differential area on the surface S.

The unit "Weber" is defined such that one Weber (1 Wb) equals one Tesla meter squared (1 T·m²). Thus, Weber serves as the S.I. unit measuring how much magnetic flux passes through a given area.

After analyzing the given options:

Weber is the S.I. unit for magnetic flux.

To determine the maximum induced EMF (Electromotive Force) in a coil when the magnetic flux changes, we use Faraday's law of electromagnetic induction. Faraday's law states that the induced EMF in a coil is equal to the rate of change of magnetic flux through the coil multiplied by the number of turns in the coil.

The formula for the induced EMF ( ) is:

Where:

• is the number of turns in the coil.
• is the change in magnetic flux (in Weber, Wb).
• is the time interval over which the change occurs (in seconds, s).

Given:

• turns
• Wb
• s

Substituting these values into the formula:

Since the question asks for the maximum induced EMF and EMF is a scalar quantity, we take the absolute value:

Maximum induced EMF = 5 V

Therefore, the maximum induced EMF generated in the coil is 5 V.

To find the change in magnetic flux, we need to use Faraday's Law of Electromagnetic Induction, which relates the induced electromotive force (EMF) in a closed circuit to the rate of change of magnetic flux through the circuit. The formula is given by:

where:

• is the induced EMF
• is the change in magnetic flux
• is the time interval

Rearranging the formula to solve for the change in magnetic flux , we have:

Since we are focusing on the magnitude of the change, we can express it as:

Therefore, the change in magnetic flux is given by the product of the induced EMF and the time period.

According to Faraday's Law of electromagnetic induction, the induced electromotive force (EMF) in any closed circuit is equal to the negative of the time rate of change of the magnetic flux through the circuit.

Mathematically, this is expressed as: $ \Delta \Phi \Delta t \frac{\Delta \Phi}{\Delta t}$ (ignoring the negative sign, as we're only asked for the magnitude).

According to Faraday's Law of Induction, the induced electromotive force (EMF) in a coil is given by: $ N \Delta \Phi \Delta t N = 100 \Delta \Phi = 0.001 \text{ Wb} \Delta t = 0.1 \text{ s} $

The magnitude of the induced EMF is 1 V.