Physics, 03.11.2020 16:20 momzsons4834

Two long parallel wires carry currents of 10 A in opposite directions. They are separated by 40 cm. What is the magnetic field in the plane of the wires at a point that is 20 cm from one wire and 60 cm from the other

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Answer from: jennmcd17

The value is $B = 6.67 *10^{-6} \ T$

Explanation:

From the question we are told that

The current on first wire is $I_1 = 10 \ A$

The current on the second wire is $I_2= -10 \ A$

The distance of separation is $d = 40 \ cm = 0.4 \ m$

The distance from the first wire considered is a = 20 cm = 0.2 m

The distance from the first wire considered is b = 60 cm = 0.60 m

Generally the magnetic field in the plane of the wires is mathematically represented as

B = B_1 + B_2

The reason for the positive sign is because the current are moving in opposite sides

Here

$B_1 = \frac{\mu_ o * I_1 }{2 * \pi * a }$

and

$B_2 = \frac{\mu_ o * I_2}{2 * \pi * b }$

$B = \frac{\mu_ o * I_1 }{2 * \pi * a } + \frac{\mu_ o * I_2}{2 * \pi * b }$

=> $B = \frac{\mu_ o * 10 }{2 * \pi * a } + \frac{\mu_ o * (-10)}{2 * \pi * b }$

Here $\mu_o$ is the permeability of free space with value $\mu_o = 4\pi * 10^{-7} N/A^2$

=> $B = \frac{ 4\pi * 10^{-7}* 10 }{2 *3.142 } [\frac{1}{0.2} - \frac{1}{0.6} ]$

=> $B = 6.67 *10^{-6} \ T$

Answer from: Quest

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm. the wire diameter is d = 0.9 mm. the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2) in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

Answer from: Quest

Neptune is the eighth planet from the sun. it was the first planet to get its existence predicted by mathematical calculations before it was actually seen through a telescope on sept. 23, 1846. irregularities in the orbit of uranus led french astronomer alexis bouvard to suggest that the gravitational pull from another celestial body might be responsible. german astronomer johann galle then relied on subsequent calculations to spot neptune via telescope. previously, astronomer galileo galilei sketched the planet, but he mistook it for a star due to its slow motion. in accordance with all the other planets seen in the sky, this new world was given a name from greek and roman mythology — neptune, the roman god of the sea.

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