A piston-cylinder chamber contains 0.1 m3 of 10 kg R-134a in a saturated liquid-vapor mixture state at 10 °C. It is heated at co
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<h3>Question:</h3>
A 2.0-cm length of wire centered on the origin carries a 20-A current directed in the positive y direction. Determine the magnetic field at the point x = 5.0m on the x-axis.
<h3>Answer:</h3>
1.6nT [in the negative z direction]
<h2>Explanation:</h2>
The magnetic field, B, due to a distance of finite value b, is given by;
B = (μ₀IL) / (4πb) -----------(i)
Where;
I = current on the wire
L = length of the wire
μ₀ = magnetic constant = 4π × 10⁻⁷ H/m
From the question,
I = 20A
L = 2.0cm = 0.02m
b = 5.0m
Substitute the necessary values into equation (i)
B = (4π × 10⁻⁷ x 20 x 0.02) / (4π x 5.0 )
B = (10⁻⁷ x 20 x 0.02) / (5.0 )
B = (10⁻⁷ x 20 x 0.02) / (5.0 )
B = (10⁻⁷ x 20 x 0.02) / (25.0)
B = 1.6 x 10⁻⁹T
B = 1.6nT
Therefore, the magnetic field at the point x = 5.0m on the x-axis is 1.6nT.
PS: Since the current is directed in the positive y direction, from the right hand rule, the magnetic field is directed in the negative z-direction.
Image is missing so I have attached it.
Also, the options are missing and it is;
A) KE is has a maximum value at position 3. EPE has a maximum value at position 2. GPE has a maximum value at position 1.
B) KE is has a maximum value at position 1. EPE has a maximum value at position 2. GPE has a maximum value at position 3.
C) KE is has a maximum value at position 2. EPE has a maximum value at position 3. GPE has a maximum value at position 1.
D) KE is has a maximum value at position 1. EPE has a maximum value at position 3. GPE has a maximum value at position 2.
E) KE is has a maximum value at position 2. EPE has a maximum value at position 1. GPE has a maximum value at position 3.
Answer:
Option C is the correct answer which says; KE is has a maximum value at position 2. EPE has a maximum value at position 3. GPE has a maximum value at position 1.
Explanation:
If an object vibrates about its mean position, under the influence of a restoring force, such that restoring force is directly proportional to the displacement from the mean position, the motion of the object is called simple harmonic motion. During Simple harmonic motion, the sum of Kinetic and potential energy remains constant.
Now, Looking at the diagram, Kinetic Energy (KE) is maximum at position 2.
Looking at the options, only C and E agree with this.
Thus, our answer is either option C or E.
However, Option E is not going to be right because it says that GPE is at a maximum at position 3, which is not true as the maximum GPE will occur at position 1.
Thus,
Option C fulfills that and therefore will be the correct answer.
