Answer:
i₃ > i₁ > i₂
Explanation:
For this exercise we use the resistance ratio
R = ρ
where ρ is the resistivity of the wire, in this case it is the same for all three cases, l the length and A the area of the wire.
We have three cases
a) length l = L
area A = A
b) length l = 2L
area A = A
c) length l = L
area A = 2A
we calculate the resistance for each case
a) R₁ = ρ L / A
b) R₂ = ρ 2L / A
R₂ = 2 ρ L / A
R₂ = 2 R₁
c) R₃ = ρ L / 2A
R₃ = ½ ρ L / A
R₃ = 0.5 R₁
therefore when the connect of the circuit is carried out we can use ohm's law
V = i R
i = V / R
whereby
a) i₁ = V / R₁
b) i₂ = V / 2R₁
i₂ = ½ i₁
i₂ = 0.5 i₁
c) i₃ = V / 0.5 R₁
i₃ = 2 I₁
the order from highest to lowest in the current is
i₃ > i₁ > i₂
To show stuff that we cant see in very well
Answer:
The acceleration towards the center will be
Explanation:
Given the running track is an oval shape, and the diameter of each half-circle is 74 meters.
Also, the runner took 1 minute and 40 seconds to complete 400 m one round of the track.
We need to find the acceleration towards the center.
First, we will find the speed.
Where is the speed.
is the distance covered by the rider that is 400 meters.
is the time taken by the rider to complete the lap which is 1 minute and 40 seconds. seconds.
So,
And
Where is the acceleration towards the center.
is the radius which will be the half of the diameter 74 meters.
Hence, the radius will be 37 meters.
So, the centripetal acceleration of the rider will be
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