What is the initial direction of deflection for the charged particle entering the magnetic field shown in (Figure 1) (a) ?
1 answer:
If the current is pointing into the page, the direction of the magnetic field will be upwards.
<h3>What is direction of magnetic field?</h3>
The Maxwell right-hand thumb rule is used to indicate the direction of the magnetic field in the direction of the current or charge.
According to this rule, "if the thumb of the right-hand points along the direction of the current, then the remaining curled fingers of the same hand give the magnetic field direction due to the current".
Thus, when the current is pointing into the page, the direction of the magnetic field will be upwards.
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The approximations T8 and M8 for the given integral are:
- T8 = 33.386321; and
- M8 = 33.50794
An Integral is a variable of which a given function is the derivative, i.e. it gives that function when differentiated and may express the area under the curve of the function's graph.
<h3>What is the explanation to above answer?</h3>Given:
F(x) = 37 cox (x²)
Internal = [0,1] n = 8 in Δ x = 1/8
The sub intervals are:
[0, 1/8], [1/8, 2/8], [2/8, 3/8], [ 3/8, 4/8], [ 4/8, 5/8], [ 5/8, 6/8], [6/8, 7/8], [ 7/8, 1]
The mid points are given as:
1/16, 3/16, 5/16, 7/16, 9/16, 11/16, 13/16, 15/16
and X₀ = 0, X₁ = 1/8, X₂ = 2/8
Using the Trapezium Rule which states that: = Δx/2
= 1/1Q[f(0) + 2f (1/8) + 2f(2/8) + ....+ 2f(7/8) + f(1)]
= 0.902333
Now
T8 =
=
= 37 (0.902333)
T8 = 33.386321
It is to be noted that the midpoints rule is given as; = Δx [f(1/16) + (3/16) + .... + f(15/16)]
= 1/8[f(1/16) + f (3/16) + f(5/16) + f(7/16) + f(9/16) + f(11/16) + f(13/16) + f(15/16)]
= 0.905620
From the above,
M8 =
=
= 37 (0.905620)
M8 = 33.50794
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