A container of water is lifted vertically 3.0m

Use the equation for magnetic force on a moving charge to derive the equation for magnetic force on a current carrying wire. Sho

max2010maxim [7]

Answer:

The formula comes from Lorentz force law which includes both the electric and magnetic field. If the electric field is zero, the force law for just the magnetic field is F=q(ν×B) . Here, F is force and is a vector because the force acts in a direction. q is the charge of the particle. v is velocity and is a vector because the particle is moving in some direction. B is the magnetic flux density.

We can derive an expression for the magnetic force on a current by taking a sum of the magnetic forces on individual charges. (The forces add because they are in the same direction.) The force on an individual charge moving at the drift velocity vd. Since the magnitude of B is constant at every line element of the loop (circle) and it dot product with the line element is B dl everywhere, therefore

∮B dl=μ0 I

B ∮dl=μ0 I

B 2πr=μ0 I

B=μ02πr Id=μ0/4π I dl×rr3

Since, r can be written as r=(rcosθ,rsinθ,z) and dl as dl=(dl,0,0) And now, if we take the cross product we would get

dl×r=−z dlj^+rsinθk^

and therefore the magnitude of dB is equal to

dB=μ0/4π I |dl×r|/r3=μ0/4π I z2+r2sin2θ−−−−−−−−−−√dl/r3

Thus, magnetic field is depending on r,θ,z.

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7 0

2 years ago

What Do You Get When You Multiply An Object's mass times the acceleration?

emmasim [6.3K]

You get the net force acting on it ... the sum of the strengths and directions
of all the individual forces there may be.

7 0

3 years ago

Un vehicle surt, en un instant, d'un punt A cap a un altre punt B amb una velocitat constant de 36 km/h. Després d'un minut(60 s

kati45 [8]

Ask Siri or goggle has all answers

6 0

3 years ago

A 0.300 kg block is pressed against a spring with a spring constant of 8050 N/m until the spring is compressed by 6.00 cm. When

natita [175]

Answer:

a) $\mu_{k} = 0.704$ , b) $R = 0.312\,m$

Explanation:

a) The minimum coeffcient of friction is computed by the following expression derived from the Principle of Energy Conservation:

$\frac{1}{2}\cdot k \cdot x^{2} = \mu_{k}\cdot m\cdot g \cdot \Delta s$

$\mu_{k} = \frac{k\cdot x^{2}}{2\cdot m\cdot g \cdot \Delta s}$

$\mu_{k} = \frac{\left(8050\,\frac{N}{m} \right)\cdot (0.06\,m)^{2}}{2\cdot (0.3\,kg)\cdot (9.807\,\frac{m}{s^{2}} )\cdot (7\,m)}$

$\mu_{k} = 0.704$

b) The speed of the block is determined by using the Principle of Energy Conservation:

$\frac{1}{2}\cdot k \cdot x^{2} = \frac{1}{2}\cdot m \cdot v^{2}$

$v = x\cdot \sqrt{\frac{k}{m} }$

$v = (0.06\,m)\cdot \sqrt{\frac{8050\,\frac{N}{m} }{0.3\,kg} }$

$v \approx 9.829\,\frac{m}{s}$

The radius of the circular loop is:

$\Sigma F_{r} = -90\,N -(0.3\,kg)\cdot (9.807\,\frac{m}{s^{2}} ) = -(0.3\,kg)\cdot \frac{v^{2}}{R}$

$\frac{\left(9.829\,\frac{m}{s}\right)^{2}}{R} = 309.807\,\frac{m}{s^{2}}$

$R = 0.312\,m$

5 0

4 years ago

LINK THE WORDS TO THE UNDERLINE. The 4 most common _____________ are solids, liquids, gases and plasmas. The _______________ are

Savatey [412]

The 4 most common States of matter are solids, liquids, gases and plasmas. The States of matter are also called the phases of matter.

2. For a given pure substance, the amount of thermal energy is what separates the different states of matter. The solid state has the least thermal energy. The liquid state has more thermal energy than the solid state. The gaseous state has more thermal energy than the liquid state. And the plasma state has the highest thermal energy of the 4 states of matter.

3. Changing from one state of matter to another is called a phase change. Solids can phase change to liquids or gasses. Liquids can phase change to solids or gasses. Gasses can phase change to liquids or solids.

4. Frost forms from water vapor depositing as ice crystal without first becoming liquid water. This is called Deposition. Deposition is also used in industry to put a thin layer of aluminum on mylar for helium balloons and for potato chip bags.

5. Put wet laundry outside on a clothes line in freezing weather and it will dry. The process is called Sublimation and a solid phase changes to a gas without first melting into a liquid. Dry ice (frozen CO2) undergoes Sublimation and becomes CO2 gas. It skips the liquid state and because we see something that looks like normal ice disappear without making a puddle, we call it dry ice.

6. Vaporization is when a liquid becomes a gas. It can happen slowly at cool temperatures and this is called evaporation. Or it can happen faster at the boiling temperature of the liquid and this is called boiling.

7. In the summer time, I love a glass filled with ice water. But water vapor in the air undergoes Condensation and becomes liquid water on the outside of the glass. Fog and clouds are also formed by Condensation of atmospheric water (water vapor) condensing into liquid water drops.

8. Thermic refers to thermal energy, usually perceived as heat or temperature. Endo refers to “inside.” Endothermic means heat is moving INTO a process and is stored in the products of that process. Heating up liquid water is Endothermic because heat is being put into the process of raising the water temperature and is stored in the kinetic motion of the water molecules. Melting ice into liquid water is Endothermic because heat is being used to break most of the attractive bonds between water molecules so that the molecules are still close to each other, but can slide around each other.

9. Thermic refers to thermal energy, usually perceived as heat or temperature. Exo refers to “outside” like exiting a room to the outside. Exothermic means heat moving out of a process. The heat energy comes from energy stored as kinetic motion of the molecules and broken bonds of attraction. When liquid water cools down, heat comes out of the water and goes to the environment around the water. This is Exothermic. Liquid water undergoing the phase change to become solid water (ice) is Exothermic. The thermal energy absorbed to “melt” the ice is released as the ice freezes.

10. The Kinetic Theory of Matter theorizes that all matter is made of tiny particles (atoms and molecules) that are in constant motion. The amount of motion is an indication of the temperature. At absolute zero, all kinetic motion stops.

7 0

4 years ago

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