. A solenoid coil consists of a single layer of 250 circular turns of wire with each turn having a 0.02m radius. The axial lengt
1 answer:
Answer:
a) L = 3.29 10⁻⁴ H, b)U = 5.33 10⁻² J
Explanation:
a) The inductance is a solenoid this given carrier
L =
The magnetic field inside the solenoid is
B = μ₀
hence the magnetic flux
Ф_B = B. A = μ₀
we substitute in the expression of inductance
L = N² μ₀ A /l
let's find the area of each turn
A = π r²
A = π 0.02²
A = 1.2566 10⁻³ m²
let's calculate
L = 250² 4π 10⁻⁷ 1.2566 10⁻² / 0.3
L = 3.29 10⁻⁴ H
b) The stored energy is
U = ½ L i²
let's calculate
U = ½ 3.29 10⁻⁴ 18²
U = 5.33 10⁻² J
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Answer:
The speed of the soccer ball at height point is less than its initial speed
Explanation:
The initial velocity of the soccer can be written in vector form as
= v cos θ î + v sin θ j
where is initial velocity of the ball
v is the initial speed of the ball
Assume soccer ball is kicked at an angle θ with an horizontal and initial speed vm/s. Its horizontal component will be as,
= v cos θ
= v sin θ
At the maximum height, the vertical component becomes zero. therefore, the velocity of the soccer at the maximum point can be written as,
= v cos θ j
where, is velocity of the soccer ball at maximum height
<h2>Answer:</h2>
Shown in the explanation
<h2>Explanation:</h2>Position vector of a particle at a given instant is given by:
On the other hand, the average velocity is the change in the particle’s position vector divided by time interval:
So we have:
Finally, the average velocity is: