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Home/ Questions/The resistance of the loop in the figure is 0.30 Ω. a) Is the magnetic field...
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lyytutoria
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lyytutoriaExpert
Asked: April 13, 20222022-04-13T06:22:23+00:00 2022-04-13T06:22:23+00:00In: Physics

The resistance of the loop in the figure is 0.30 Ω. a) Is the magnetic field…

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The resistance of the loop in the figure is 0.30 Ω.

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The%20resistance%20of%20the%20loop%20in%20the%20figure%20is%200.30%20%CE%A9.%20a)%20Is%20the%20magnetic%20field...

a) Is the magnetic field strength increasing or decreasing?

b) At what rate (T/s)?

♦ Relevant knowledge
The area that is covered by the magnetic field is known as”the magnetic field. The force that the field of magnetic energy at any point is measured by the force felt by a northern pole of one pole strength at the point.The magnitude that the magnetic field exerts is directly related to the distance over the area where the effects of the magnetic field will be felt. If the space gets larger and the force in the electromagnetic field decreases.

 

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    lyytutoria Expert
    2022-04-28T00:33:29+00:00Added an answer on April 28, 2022 at 12:33 am

    Part (a)

    According to Amperes’ right hand rule, if a person’s right hand wraps around the rod and the current in the loop causes an induced magnetic field, it points out of the page. Because of the induced current, which creates a magnetic force against the charge of the particle, the external magnetic field is entering the page. The magnetic field strength therefore increases.

    Part (b)

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  2. Margaret O'Brien
    2022-04-13T07:21:25+00:00Added an answer on April 13, 2022 at 7:21 am
    Concepts and Reason

    Ampere’s right-hand rule, Faraday’s law of induction, and Ohm’s laws are the concepts that were used to solve this problem.

    First, use Ampere’s right-hand rule to determine the magnetic field strength.

    The rate of change in magnetic field can be found by comparing Ohm’s law with Faradays law.

    Fundamentals

    According to the Ampere’s right-hand rule, “The index finger, middle fingers and thumb are held mutually parallel to one another, the index finger indicates the direction and current direction, while the middle finger shows the direction and direction of magnetic fields, and the thumb points at the direction and force exerted on the conducting material”.

    Faraday’s law on electromagnetic induction states, “The induced emf of any closed circuit equals the rate of magnetic flux change linked in that closedcircuit.”

    Ohm’s law says that at constant temperature, a steady current flows through conductor. This is directly proportional the potential difference in conductor.

    This is the Ohm’s Law expression:


    &=IR

    acts as the electromotive force. acts as the current while resists.

    The rate at which the magnetic flux changes is called the electromotive force.

    This is the Faraday’s law for induction:


    op N = 3

    represents the electromotive force, $6$ the number of turns and $7media_tag_7$ the magnetic flux. $8$ the time.

    The square’s area is as follows:


    A=a?

    refers to the square loop’s length and breadth, and A refers to the area.

    This is the expression for magnetic flux:


    Φ = ΒΑ

    B here is the magnetic field.

    (a)

    According to Amperes’ right hand rule, if a person’s right hand wraps around the rod and the current in the loop causes an induced magnetic field, it points out of the page. Because of the induced current, which creates a magnetic force against the charge of the particle, the external magnetic field is entering the page.

    The magnetic field strength therefore increases.

    (b)

    This is the Ohm’s Law expression:

    &=IR
…… (1)

    This is the Faraday’s law for induction:


    op N = 3

    In the equation above, replace with or with .

    d(BA)
…… (2)

    Compare equation (1) with (2).


    d(BA)
=
A
dB_IR
dt
A

    In the equation above, replace with A


    dB
IR
ZDP

    Substitute 150 mA
to I, 0.30Ω
to R, and 8.0 cm
to find dB/dt
.


    w/10A (0.300)
(150mA) imaº
(8.0cm) ( um
100cm
(150x10-²A)(0.3052)
(8.0x10²m)
= 7.03 T/s

    Ans: Part A


    This will increase the strength of the magnetic field outside.

    Part b

    The rate of magnetic field change is 7.03 T/s

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