If you double the number of turns and double the length, the value N/L remains the same and hence the magnitude of the magnetic field stays the same.
A solenoid is a device comprised of a coil of wire, the housing and a moveable plunger (armature). When an electrical current is introduced, a magnetic field forms around the coil which draws the plunger in.
The magnitude of the magnetic field in an infinite (L>>R) solenoid, is proportional to:
I*N/L
Where
I = current
N = number of turns
L = length of wire
So, if you double the number of turns and double the length, the value N/L remains the same and hence the magnitude of the magnetic field stays the same.
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Answer:
v² = u² + 2x²
Explanation:
v² = u² + 2as is only valid for constant acceleration. Here, the acceleration is a function of position. We can find the function of velocity by integrating. Acceleration is the derivative of velocity with respect to time:
a = 2x
dv/dt = 2x
Apply chain rule:
dv/dt = dx/dt × dv/dx
dv/dt = v × dv/dx
Therefore:
v dv/dx = 2x
Separate the variables and integrate:
v dv = 2x dx
½ v² |ᵤᵛ = x² |₀ˣ
½ (v² − u²) = x²
v² − u² = 2x²
v² = u² + 2x²
Answer:
Air is a mixture of gases. Gas is a state of matter. Hence, air is matter.
Explanation:
See the attached file. It contains a table explaining the composition of air.
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