The two 10-cm-long parallel wires in the figure are separated by 5.0 mm. For what value of the resistor r will the force between
1 answer:
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Answer:
1.3 ohm
Explanation:
length of first wires (L) = 10 cm = 0.1 m
distance of the wires apart (d) = 5 mm = 0.005 m
force between the two wires (f) = 1.26 x 10^{-4} N
force between parallel carrying conductors =
where
- I1 is the current in the first wire
I1 = V1/R1 = 9/2 = 4.5 A
- I2 is the current in the second wire
- μ is = 4π x 10^{-7} T.m/A
- d is the distance of the wires apart
- L is the length of the wires
I2 =
I2 = 7A
now we can finally get the resistance from ohms law, V = I x R
R2 = V2/I2 = 9/7 = 1.3 ohm
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Answer:
82.76m
Explanation:
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You use the formula for the circumference of the steel ring:
(1)
C: circumference of the ring = 40000 km = 4*10^7m (you assume the circumference is the length of the steel tube)
you solve for r in the equation (1):
Next, you use the following formula to calculate the change in the length of the tube, when its temperature increases by 1°C:
(2)
L: final length of the tube = ?
Lo: initial length of the tube = 4*10^7m
ΔT = change in the temperature of the steel tube = 1°C
α: thermal coefficient expansion of steel = 13*10^-6 /°C
You replace the values of the parameters in the equation (2):
With the new length of the tube, you can calculate the radius of a ring formed with the tube. You again solve the equation (1) for r:
Finally, you compare both r and r' radius:
r' - r = 6,366,280.484m - 6,366,197.724m = 82.76m
Hence, the distance to the ring from the ground is 82.76m
Answer:
35,79 meters
Explanation:
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