Physics, 07.04.2020 20:15 bankroll42

Two long parallel wires are a distance d apart. The current in one wire is 10 A and the current in the other wire is 30 A. The currents are in the same direction. If the 30-A current is increased to 50 A, by what factor does the magnitude of the magnetic field midway between the wires change?

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Answer from: SkylarAaliyah

The magnitude of the magnetic field midway between the wires increased by a factor of ²/₃ or 67%.

Explanation:

Given;

current in the first wire, I₁ = 10 A

current in the second wire, I₂ = 30 A

magnetic filed produced in the first wire due to the current in the second wire is given as;

$B = \frac{\mu I}{2\pi d }$

where;

B is the magnetic field

when the current is 30 A, the magnetic field midway between the wires

$B_1 = \frac{30*\mu}{2\pi d/2} = \frac{30*\mu}{\pi d}$

when the current is increased to 50 A, the magnetic field midway between the wires;

$B_2 = \frac{50* \mu}{2\pi d/2} = \frac{50* \mu}{\pi d}$

the magnitude of the magnetic field midway between the wires changes by a factor of;

$\frac{B_2}{B_1} = \frac{50*\mu}{\pi d} X \frac{\pi d}{30*\mu} \\\\\frac{B_2}{B_1} = \frac{50}{30} = 1.67 = 167 \%$

Thus, the magnitude of the magnetic field midway between the wires increased by a factor of ²/₃ or 67%.

Answer from: Quest

a is the best answer your welcome

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

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