1. You are designing a new solenoid and experimenting with material for each turn. The particular turn you are working with is a circular loop of radius 3.50 cm that carries a current of 15.0 A . Calculate the magnetic field B at the center of the loop.
2. Consider the coordinate system in the figure. If the circular loop lies in the xy plane and if the current flows clockwise around the loop, which direction does the magnetic field point inside the loop?
A. Positive x.
B. Positive z.
C. Negative y.
D. Negative z.
3. If we decrease the radius the magnetic field will:_______.
A. Increase.
B. Decrease.
C. Stay the same.
D. None of the above.

Respuesta :

Answer:

Explanation:

1 ) Magnetic field due to a circular coil carrying current

= μ₀I / 2r

I is current , r is radius of the wire , μ₀ = 4π x 10⁻⁷

= 4π x 10⁻⁷ x 15 / (2 x 3.5 x 10⁻²)

= 26.9 x 10⁻⁵ T

2 )

Negative z direction .

The direction of magnetic field due to a circular coil having current is known  

with the help of screw rule or right hand thumb rule.

3 )

If we decrease the radius the magnetic field will:__increase _____.

A. Increase.

Magnetic field due to a circular coil carrying current

B = μ₀I / 2 r

Here r is radius of the coil . If radius decreases magnetic field increases.

So magnetic field will increase.

For the following questions on the magnetic field, we have that

The magnitude of magnetic field B is

B= 26.9 x 10^{-5} T

The direction of the magnetic field point inside the loop is Negative z. option D

If we decrease the radius  the magnetic field will increase, Option A

What is the magnetic field at the center of the loop. ?

a)

Generally, the equation for the  Magnetic field  is mathematically given as

B= uI / 2r

Therefore

B= 4π x 10^{-7} x 15 / (2 x 3.5 x 10^{-2})

B= 26.9 x 10^{-5} T

What is the the magnetic field?

b)

Using, The right-hand thumb rules the direction of the magnetic field point inside the loop is Negative z. option D

What is the effect of radius on a magnetic field?

c)

Generally, the equation for the  Magnetic field  is mathematically given as

B= uI / 2r

This shows that when the radius decreases the magnetic field increases,

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