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2 years ago

6

A very long half-cylinder of radius r carries a total current is uniformly distributed across the circumference. Determine the m

agnetic field along the central axis of the cylinder.

1 answer:

Rufina [12.5K]2 years ago

8 0

The magnetic field along the central axis of the cylinder will be <em>determined </em>using the formula given that all parameters are known

$dBz=\frac{uoR^2di}{2r^3}$

<h3>Magnetic field </h3>

Generally, A magnetic field is also referred to as a vector field that shows the magnetic presence on electric charges and magnetic materials.

The formula for magnetic field is

Where

$u=4\pi*10^{-7H/M}$

Therefore, the magnetic field along the central axis of the cylinder will be determined using the formula given that all parameters are known

For more information on Magnets

brainly.com/question/7802337

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Two rigid rods are oriented parallel to each other and to the ground. The rods carry the same current in the same direction. The

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Answer:

220 A

Explanation:

The magnetic force on the floating rod due to the rod held close to the ground is F = BI₁L where B = magnetic field due to rod held close the ground = μ₀I₂/2πd where μ₀ = permeability of free space = 4π × 10⁻⁷ H/m, I₂ = current in rod close to ground and d = distance between both rods = 11 mm = 0.011 m. Also, I₁ = current in floating rod and L = length of rod = 1.1 m.

So, F = BI₁L

F = (μ₀I₂/2πd)I₁L

F = μ₀I₁I₂L/2πd

Given that the current in the rods are the same, I₁ = I₂ = I

So,

F = μ₀I²L/2πd

Now, the magnetic force on the floating rod equals its weight , W = mg where m = mass of rod = 0.10kg and g = acceleration due to gravity = 9.8 m/s²

So, F = W

μ₀I²L/2πd = mg

making I subject of the formula, we have

I² = 2πdmg/μ₀L

I = √(2πdmg/μ₀L)

substituting the values of the variables into the equation, we have

I = √(2π × 0.011 m × 0.1 kg × 9.8 m/s²/[4π × 10⁻⁷ H/m × 1.1 m])

I = √(0.01078 kgm²/s²/[2 × 10⁻⁷ H/m × 1.1 m])

I = √(0.01078 kgm²/s²/[2.2 × 10⁻⁷ H])

I = √(0.0049 × 10⁷kgm²/s²H)

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3 years ago

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Answer:

A

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B

$h = 1.3061 \ m$

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D

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Explanation:

Considering the first question

From the question we are told that

The spring constant is $k = 32.50 N/m$

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Generally the potential energy stored in spring is mathematically represented as $PE = \frac{1}{2} * k * x^2$

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Considering the second question

From the question we are told that

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Generally the total time of flight of the dart is mathematically represented as

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$d = v * t$

=> $d = 5.06 * 0.7959$

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