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valkas [14]
2 years ago
7

If the current direction is reversed in one of the strips, the magnetic field in a point A located outside the space between the

strips, and very close to the upper strip (z << a) will be
Physics
1 answer:
serious [3.7K]2 years ago
6 0

Answer:

Twice the initial value

Explanation:

Let the current be  = I

      the width of the conducting strips be = a

We know that magnetic field between two plates is given by

$B=\frac{\mu_0 I}{2\pi r}$

If the direction of this magnetic field is same between the two plates, then

$B=\frac{\mu_0 I}{2\pi r} - \frac{\mu_0 I}{2\pi r}$

  = 0

And when the currents runs opposite at each plate, then

$B=\frac{\mu_0 I}{2\pi r} + \frac{\mu_0 I}{2\pi r}$

    $2 \times B_{initial}$

Hence the magnetic field will be twice the initial value of the magnetic field that runs between the plates.

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Question 1 of 4 Attempt 4 The acceleration due to gravity, ???? , is constant at sea level on the Earth's surface. However, the
Evgen [1.6K]

Answer:

g(h) = g ( 1 - 2(h/R) )

<em>*At first order on h/R*</em>

Explanation:

Hi!

We can derive this expression for distances h small compared to the earth's radius R.

In order to do this, we must expand the newton's law of universal gravitation around r=R

Remember that this law is:

F = G \frac{m_1m_2}{r^2}

In the present case m1 will be the mass of the earth.

Additionally, if we remember Newton's second law for the mass m2 (with m2 constant):

F = m_2a

Therefore, we can see that

a(r) = G \frac{m_1}{r^2}

With a the acceleration due to the earth's mass.

Now, the taylor series is going to be (at first order in h/R):

a(R+h) \approx a(R) + h \frac{da(r)}{dr}_{r=R}

a(R) is actually the constant acceleration at sea level

and

a(R) =G \frac{m_1}{R^2} \\ \frac{da(r)}{dr}_{r=R} = -2 G\frac{m_1}{R^3}

Therefore:

a(R+h) \approx G\frac{m_1}{R^2} -2G\frac{m_1}{R^2} \frac{h}{R} = g(1-2\frac{h}{R})

Consider that the error in this expresion is quadratic in (h/R), and to consider quadratic correctiosn you must expand the taylor series to the next power:

a(R+h) \approx a(R) + h \frac{da(r)}{dr}_{r=R} + \frac{h^2}{2!} \frac{d^2a(r)}{dr^2}_{r=R}

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