A uniform magnetic field is applied perpendicular to the plane of a 60-turn circular coil with a radius of 6.0 cm and a resistan
2 answers:
Answer:
The expression for the magnetic flux for a given area is given by,
ϕ=BAcosθ
The surface is perpendicular to the field then the angle is zero.
The expression for the magnetic flux is given by,
ϕ=BA
For calculating the change in magnetic flux, differentiate the above equation with respect to time.
The expression for the change in magnetic flux is given by,
..... (1)
Here, A is area and it is constant.
Area of the circular coil is given by πr²
The expression for the change in magnetic flux in terms of the radius of the circular coil is given by,
....... (2)
Here, r is the radius of the coil.
The magnetic field increases uniformly from 0.20 T to 1.8 T in 0.20 s.
The magnetic field increases uniformly from 0.20 T to 1.8 T in 0.20 s.
Substitute 6.0 cm for r (1.8T−0.20T) for dB and 0.20 s for dt in the equation (2).
Explanation:
Magnetic flux is directly proportional to the magnetic field and the area of the flux through it. The area remains the same as the magnetic flux is increased by increasing the magnetic field.
The expression for the EMF is given by,
ε=−Ndϕ /dt ...... (3)
The value of change in magnetic flux with respect to time is calculated in step 1. Thus, we are using the value of = 0.090432T/s in the above equation (3)
Substitute 0.090432T/s for dt /dϕ and 60 for N in the equation (3).
ε=−(60)(0.090432T/s)
=5.425 V
The magnitude of induced EMF in the coil is,
∣ε∣=5.425 V
The magnitude of the EMF induced in the coil is 5.425 V.
Explanation:
Lenz’s law is defined as
ε ∝ dt /dϕ
To remove the proportionality sign, a constant of proportionality is introduced.
ε=−N dt /dϕ
Here, N is the number of turns in the coil.
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Answer:
See the explanation below
Explanation:
To better understand this problem, a cylinder sketch is attached before and after the cut, we see that after the cut, the shape of this resembles that of a right triangle.
We can find, the centroid in the xy plane, knowing that the centroid for a triangle is located a third of its base.
In the z axis there is no displacement of the centroid.
Answer:
82.76m
Explanation:
In order to find the distance of the steel ring to the ground, when its temperature has raised by 1°C, you first calculate the radius of the steel tube before its temperature increases.
You use the formula for the circumference of the steel ring:
(1)
C: circumference of the ring = 40000 km = 4*10^7m (you assume the circumference is the length of the steel tube)
you solve for r in the equation (1):
Next, you use the following formula to calculate the change in the length of the tube, when its temperature increases by 1°C:
(2)
L: final length of the tube = ?
Lo: initial length of the tube = 4*10^7m
ΔT = change in the temperature of the steel tube = 1°C
α: thermal coefficient expansion of steel = 13*10^-6 /°C
You replace the values of the parameters in the equation (2):
With the new length of the tube, you can calculate the radius of a ring formed with the tube. You again solve the equation (1) for r:
Finally, you compare both r and r' radius:
r' - r = 6,366,280.484m - 6,366,197.724m = 82.76m
Hence, the distance to the ring from the ground is 82.76m
The basic relationship between frequency and wavelength for light (which is an electromagnetic wave) is
where c is the speed of light, f the frequency and
the wavelength of the wave.
Using
and 
, we can find the value of the frequency:
where c is the speed of light, f the frequency and
Using