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Phantasy [73]
3 years ago
11

Three long, straight electrical cables, running north and south, are tightly enclosed in an insulating sheath. One of the cables

carries a 21.3 A current southward; the other two carry currents of 17.2 A and 10.8 A northward.Use Ampere’s law to calculate the magnitude of the magnetic field at a distance of 10.0 \rm m from the cables.Express your answer to two significant figures and include the appropriate units.
Physics
1 answer:
mr_godi [17]3 years ago
8 0

Answer:

1.3 X 10⁻⁷ T or 0.13μT

Explanation:

The magnetic field from the currents directed northward will point in one direction, and the field from the southward directed current will point in the other, so they will subtract.

The net B field is found by

B = μ₀I/2πr + μ₀I/2πr - μ₀I/2πr

B = (4π X 10⁻⁷)(17.2)/(2π)(10) + (4π X 10⁻⁷)(10.8)/(2π)(10) - (4π X 10⁻⁷)(21.3)/(2π)(10)

B = 1.34 X 10⁻⁷ T

which, in two significant figures is 1.3 X 10⁻⁷ T or 0.13μT

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PLS HELP ASAP!!! <br> I don’t understand this at all
Mnenie [13.5K]

Answer:

The part that completes the nuclear equation is:

           ^{221}_{87}Fr

Explanation:

<h2>A) Preliminar explanation</h2>

The <em>nuclear equation</em> represents a nuclear reaction: the change of the nucleus of an atom.

The given equation represents an actinium atom releasing an alpha particle.

This is the meaning of each part of the equation:

  • Ac is the chemical symbol of actinium
  • The superscript to the left of the chemical symbol is the mass number of the atom (number of protons plus number of neutrons). The mass number is 225.
  • The subscript to the left of the chemical symbol is the atomic number of the atom (number of protons). The atomic number is 89.

  • ^4_2He is the symbol of the alpha particle. It is an atom of helium
  • The mass number is 4
  • The atomic number is 2

<h2>B) Solution</h2>

To <em>complete the nuclear equation </em>you must do two balances: mass number balance and atomic number balance.

<u>i) Mass number balance</u>

  • 225 = A + 4 ⇒ A = 225 - 4 = 221

<u>ii) Atomic number balance</u>

  • 89 = Z + 2 ⇒ Z = 89 - 2 = 87

Therefore, the mass number of the unknown atom is 221, and the atomic number is 87.

From a periodic table, the element with atomic number 87 is francium, Fr.

Now, you have the chemical symbol, the atomic number, and the mass number of the unknown atom, which lets you to write the atom that completes the <em>nuclear equation</em>.

           ^{221}_{87}Fr

7 0
4 years ago
CHEGG 42 mT magnetic field points due west. If a proton of kinetic energy 9 x 10-12 J enters this field in an upward direction,
alexdok [17]

Answer:

The  magnitude of the Force is  F = 697 *10^{-15}N  and the direction is South  

Explanation:

From the question we are told that

         The magnetic field point due west and since East point toward the positive x -axis(i)  then this magnetic field would be mathematically represented as

                \= B = 42(-i)mT = 42*10^{-3} (-i) T

Now from the question we are told that the kinetic energy is

             KE = 9*10^{-12}J

Now this kinetic energy can be mathematically represented as

                  KE = \frac{1}{2}mv^2

Where m is the mass of proton which has a general value of

           m = 1.67*10^{-27}kg

Now making the subject of the formula

                v = \sqrt{\frac{KE}{0.5 * m} }

Substituting values we have

               v = \sqrt{\frac{9*10^{-12}}{0.5 * 1.67*10^{-27}} }

                 = 10.37*10^7m/s

Now from the question we are told that proton is moving upward which is in the positive z direction so the velocity of the proton would be in the positive

So the velocity would be

            \= v = 10.37*10^{7} \r k \ m/s

Now the magnetic Force can be mathematically represented as

          \= F = q \= v * \=  B

Where q is the charge on the proton which has a general value of  q =1.6*10^{-19}C

Now substituting the value

          \= F = 1.6*10^{-19 } * (10.37 *10^7) \r k * (42 *10^{-3})(-i)

              = 697*10^{-15} J

Now according to Fleming's left hand rule the direction of the magnetic force is south toward the negative Y - direction (-j)

So the force can be denoted as

                 \= F = 697*10^{-15}(-j) N

             

             

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In short, Your Answer would be Option C

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AysviL [449]

1000 times the mass of the sun

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