Hi there!
We can use Ampère's Law to derive an expression for the magnetic field strength produced by an infinitely long current-carrying wire:
[tex]\oint B \cdot dl = \mu_0 I_{encl}[/tex]
B = Magnetic Field Strength (T)
dl = Differential length along path
μ₀ = Permeability of Free Space (Tm/A)
I = Enclosed current (A)
The integral is a cross product, so the cosine of the angle between the magnetic field and the path of integration is used. However, for a straight current-carrying wire, the path is ALWAYS parallel to the magnetic field, so since cos(180) = 1, we can disregard the cross product.
Additionally, the path of integration is equivalent to:
[tex]l = 2\pi r[/tex]
[tex]B \cdot l = \mu_0 I_{encl}\\\\B * 2\pi r = \mu_0 I_{encl}\\\\B = \frac{\mu_0 I_{encl}}{2\pi r }[/tex]
Rearrange to solve for enclosed current:
[tex]I_{encl} = \frac{2\pi rB}{\mu_0} = \frac{2\pi (0.02)(0.0037)}{(4\pi *10^{-7})} = \boxed{370 A}[/tex]
It is often said the media can make or break a person especially, sports personalities. Explain how that happens.
I'm going to school tomorrow so I can get the best of it
A sound wave travelling through water has a wavelength of 0.08m and a frequency of 18525 HZ. What is the speed of the wave?
a. 343 m/s
b. 1482 m/s
c. 5941 m/s
Answer:
1482m/s
Explanation:
velocity equals frequency x lamdha
How would speed change if the wave period increase
Answer:
The greater the period the faster the wave moves (Figure 10.5).
Explanation:
A proton has a charge , what gives it a charge?
Answer:
The charge is believed to be from the charge of the quarks that make up the nucleons (protons and neutrons). A proton is made of two Up quarks, with 2/3 positive charge each and one Down Quark with a negative 1/3 charge (2/3 + 2/3 + -1/3 = 1).
Explanation:
Hope this helps :)
A triangular prism made of crown glass (n=1.52) with base angles of 30.0 is surrounded by air. If parallel rays are incident normally on its base as shown in fig., what is the angle of ϕ between the two emerging rays?
Answer:
es lo que es
Explanation:
es lo que es es que slep vaka vee
the angle ϕ= will be equal to angle of refraction and it is equal to 49.4°C.
What is refractive index ?When a light is going from medium 1 to medium 2. The refractive index is defined as a ratio of velocity of light in medium 1 to velocity of light in medium 2. Refractive index is the factor which deals with the amount of bending of light. More refractive index means more it will bend in the medium 2. When it is 1 we can say that light has not been bent.
By Snell's law, Refractive index is given by,
sin (i) ÷ sin (r) = μ₂÷μ₁
where i is the the angle of incidence
r is the angle of refraction
μ₂ & μ₁ are refractive index of medium 2 and 1 resp.
Hence it is due to Refractive index.
In this problem the light is going from prism to air, the refractive index of air is 1. From figure it is clear that the angle of incidence is 30°C.
From snell's law,
sin (30) ÷ sin (r) = μ₂÷1.52
0.5 ÷ sin (r) = 1÷1.52
0.5×1.52 = 1×sin (r)
0.76 = sin (r)
The angle of refraction r = sin⁻¹(0.76) =49.4°C
Hence angle ∅ = 49.4°C.
To know more about Refraction :
https://brainly.com/question/29692290
#SPJ2.
Find the period of small oscillations of a barbell of length l with balls of mass m, located along a homogeneous electric field of intensity E. The charge of the barbell balls is ±q.
A planes average speed between two cities is 600 km/h. If the trip takes 2.5 hours ,how far does the plane fly?
A battery of emf 20v and internal resistance 1 ohms connected in series with an external resistor4 ohms what is
a power dissipate due to ineternal resistor
The power dissipate due to internal resistor is 400 W.
Power dissipated in a circuit
The power dissipate due to internal resistor is calculated as follows;
P = IV
P = (V/r)V
P = V²/r
where;
V is emf of the batteryr is internal resistorP = (20²)/(1)
P = 400 W
Thus, the power dissipate due to internal resistor is 400 W.
Learn more about power dissipated here: https://brainly.com/question/23688821
#SPJ1
A sound travelling through some unknown medium has a wavelength of 0.05m and a frequency of 118,820 Hz. What is the speed of the wave?
a. 5941 m/s
b. 1482 m/s
c. 343 m/s
Answer:
5941m/s
Explanation:
velocity equals frequency x lamdha
Find the charge on the capacitor in an LRC-series circuit at t = 0.03 s when L = 0.05 h, R = 6 Ω, C = 0.005 f, E(t) = 0 V, q(0) = 4 C, and i(0) = 0 A. (Round your answer to four decimal places.)
Determine the first time at which the charge on the capacitor is equal to zero. (Round your answer to four decimal places.)
The charge on the capacitor in an LRC-series circuit is 2.8907 C.
The first time at which the charge on the capacitor is equal to zero is 0.1409s.
What is capacitor?The capacitor consists of two parallel plates used to store the charge when current flows through it, and provides energy when shuts off.
By the Kirchoff's second law,
Lq'' +Lq' +q/C =E(t)
Where, L =0.05h, R = 6 Ω, C = 0.005 f, E(t) = 0 V, q(0) = 4 C, and i(0) = 0 A.
Equations becomes q''+120q' +4000 =0
The auxiliary equation is m² +120m+4000 =0
Solving this quadratic equation, we have
m =-6± 20i
Then , q(t) = Ae^(-60t)cos 20t + Be^(-60t)sin 20t where, A and B are constants.
At t=0, q(0) =7 =A
and q'(t) = A [ -20e^(-60t)sin 20t - 60e^(-60t)cos 20t ] +B [ 20e^(-60t)cos 20t - 60e^(-60t)sin 20t ]
So, i(0)= q'(0) =0 =-60A +20 B
Putting the value of A=7 above, we have B =21.
So, q(t) = 7e^(-60t)cos 20t + 21e^(-60t)sin 20t
The charge on the capacitor at time t =0.015
q(0.015) = 2.8907 C
Thus the charge on capacitor is 2.8907 C.
q(t) = 7e^(-60t)cos 20t + 21e^(-60t)sin 20t =0
Solve for t, we get
e^(-60t)cos 20t + 3e^(-60t)sin 20t\
-1/3 = sin 20t /cos20t
t =1/20 arctan(-1/3)
As, arctan is defined within -90 to +90,
So, 20t = -0.3218 +π =2.8197
t =0.1409s
Thus the first time at which the charge is zero is 0.1409s.
Learn more about capacitor.
https://brainly.com/question/17176550
#SPJ1
73. Integrated Concepts
An electron microscope produces electrons with a 2.00-pm wavelength. If these are passed through a 1.00-nm single slit, at what angle will the first diffraction minimum be found?
The angle will the first diffraction minimum be found will be 0.034895°.
What is diffraction grating?A diffraction grating is a type of optical instrument obtained with a continuous pattern. The pattern of the diffracted light by a grating depends on the structure and number of elements present.
The equation of diffraction grating is given as
[tex]\rm d= \frac{m \lambda}{sin \theta }[/tex]
The angle between the incident ray and the point of the occurrence of the diffraction is found as;
[tex]\theta = sin^{-1}(\frac{m\lambda}{d} )\\\\\ \lambda= (2.0))(\frac{1.00 \times 10^{-12}}{1\ pm} )\\\\\ \lambda=2.00 \times 10^{-12}[/tex]
The angle will the first diffraction minimum be found is;
[tex]\theta = sin^{-1}(\frac{m\lambda}{d} )\\\\\ \theta = sin^{-1}(\frac{1 \times 2.000 \times 10^{-12}}{1\times 10^{-12}} )\\\\\ \theta= 0.0348995^0[/tex]
Hence,the angle will the first diffraction minimum be found will be 0.034895°.
To learn more about diffraction grating, refer to the link;
https://brainly.com/question/1812927
#SPJ1
Which of the objects below would experience lift?
Answer:
the first one, The object moving through air
a) First write down what you see in the picture.
Answer:
which picture please,I don't get you
A certain FM radio station broadcasts electromag-
netic waves at a frequency of 60,050,000 Hz. These
waves travel at a velocity of 30,000,000 m/s. What is
the wavelength of these radio waves?
v = λ x f
λ = v/f f=v/λ
Answer:
0.5 m
Explanation:
To find wavelength (λ) : apply the formula
λ = wave speed (v) / frequency (f)Solving :
λ = 30,000,000 m/s / 60,050,000 Hzλ = 0.5 m (approximately)Ray X strikes a flat mirror at an angle of 0 = 26 degrees. What is the incidence?
The incidence is maybe 26=9
If a sound wave has a wavelength of 7 m and travels at a speed of 330 m/s, what is the
frequency of the sound?
O 47.1 hz
O2.12 hz
2.31 hz
23.1 hz
Answer:
047.1
Explanation:
frequency equals velocity over lambda
a
Why do you need a reference
point to determine if an object
has moved?
A. The object will stop moving if you don't
compare it.
B. The object could run into another object.
C. Motion is a change in position relative to a
fixed point.
Answer:
An object is in motion when its distance from another object is changing. A reference point is a place or object used for comparison to determine if something is in motion. An object is in motion if it changes position relative to a reference point.
option C is your CORRECT answer
Need help asap!!science foundations
What type of bond is most likely to form between two gold (Au) atoms?
Answer:
I believe it would be a metallic bond.
Explanation:
How does the weight of an object relate to how fast it falls with a parachute?
The weight of an object on the surface of mass is 1850 Newton and its mass is 500kg.Find the acceleration due to gravity on mars
F = m.a
a = F/m
a = 1850/500
a = 3.7 m/s²
A car accelerates at a rate of 8.8m/s² with a force from the tires of 19,976N. What is the mass of the car?
A.1800kg
B.2270kg
C.1360kg
D2140kg
Answer:
B. 2270 kg
Explanation:
We know that :
Force = Mass x AccelerationWe are given :
Force = 19,976 NAcceleration = 8.8 m/s²Finding mass
19,976 = 8.8 x massmass = 19,976/8.8mass = 2270 kgA stationary sound waves has a series of nodes. The distance between the first and the 6th node is 30cm. What is the wavelength of the sound wave
Answer:
Assume a node at the left end and the right end
N-A-N-A-N-A-N-A-N-A-N shows nodes and anti-nodes
10 quarter wavelengths are shown (or 2.5 wavelengths)
30 / 2.5 = 12 cm wavelength since there is 1/4 wavelength between node and anti-node
Nodes and anti-nodes are displayed in N-A-N-A-N-A-N-A-N.
The difference between the node and the anti-node exists 12 cm wavelength.
What is meant by stationary sound waves?Standing waves are created when two identical waves move in opposition to one another along a line. Despite being composed of two waves that are moving in opposition to one another, standing waves do not travel through space or along a string.
A wave that is stationary is one that is not moving, is at a standstill, or is in a relaxed position. A standing wave is created whenever two waves with nearly identical frequencies, wavelengths, and amplitudes that are traveling in opposite directions collide.
A waveform signal that is carried in space or down a wire has a wavelength, This is the distance between two identical locations (contiguous crests) in the following cycles. This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm).
The distance over which a periodic wave's shape repeats is known as the wavelength in physics.
Assume that there exists a node at both the left and right ends.
Nodes and anti-nodes are displayed in N-A-N-A-N-A-N-A-N.
it displays 10 quarter wavelengths.
Since there exists a 1/4 wavelength difference between the node and the anti-node, 30 / 2.5 = 12 cm wavelength.
To learn more about wavelength refer to:
https://brainly.com/question/10728818
#SPJ2
In the text "White House Press Release Announcing the Bombing of Hiroshima August 6, 1945" by President Truman, in which country was the atomic bomb developed?
A. Germany
B. The United States
C. The United Kingdom
D. Japan
In the text "White House Press Release Announcing the Bombing of Hiroshima August 6, 1945" by President Truman, the atomic bomb was developed by the United States. Therefore, the correct answer is B. The United States.
During World War II, a top-secret project known as the Manhattan Project was conducted by the United States. The goal of this project was to develop an atomic bomb. The research and development efforts were led by American scientists, engineers, and military personnel. The project involved numerous facilities across the United States, including Los Alamos, New Mexico, where the final design and testing of the atomic bomb took place.
President Truman's press release announcing the bombing of Hiroshima on August 6, 1945, indicates that the United States successfully developed and deployed the atomic bomb. This historical event marked the first use of atomic weapons in warfare and had a significant impact on the outcome of World War II.
Therefore, based on the context of President Truman's press release and the historical record, it is clear that the atomic bomb was developed by the United States. Therefore, the correct answer is B.
To know more about the atomic bomb:
https://brainly.com/question/543822
#SPJ5
BRAINLIEST IF ITS CORRECT HEPL
Answer: C.
Explanation: They describe the direction of the magnetic force on a north monopole at any given position.
Vector V is 448 m long in a
224° direction. Vector Wis
336 m long in a 75.9°
direction.
Find the direction of their
vector sum.
The magnitude of the vector sum of the two vectors V and W is determined as 240.84 m toward + x.
What is a vector?A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.
The following are the x and y axes for the supplied vector:
Vector V in x direction;
[tex]\rm V_x = Vcos \theta \\\\ V_x = 448cos(224^0)\\\\ Vx = -322.26[/tex]
Vector V in y direction;
[tex]\rm V_y = Vsin \theta\\\\ V_y = 448 \times sin224^0\\\\ V_y = -311.2[/tex]
Vector W in x direction;
[tex]\rm W_x = 336 \times cos(75.9^0)\\\\ W_x = 81.86[/tex]
Vector W in y direction;
[tex]\rm W_y = 336 \times sin75.9\\\\\ W_y = 325.88[/tex]
The resultant vector in the x direction is;
∑X = -322.26 + 81.86
∑X == -240.4
The resultant vector in the y direction is;
∑Y = -311.2 + 325.88
∑Y = 14.68
The resultant vector is found as;
[tex]\rm R =\sqrt{(-240.4)^2+(14.68)^2} \\\\R = 240.84 \ m[/tex]
Hence, the direction of their vector sum is 240.84 toward +x-axis.
To learn more about the vector, refer to the link;
https://brainly.com/question/13322477
#SPJ1
What type of wave is illustrated below?
Longitudinal
Transverse
Surface wave
Seismic wave
Answer:
Longitudinal
Explanation:
I searched it up.
A copper atom has an atomic number of 29 and an atomic mass of 64. What
is the structure of this atom?
OA. It has a central nucleus composed of 29 protons and 64 neutrons,
surrounded by an electron cloud containing 29 electrons.
B. It has a central nucleus composed of 29 protons and 35 neutrons,
surrounded by an electron cloud containing 29 electrons.
OC. It has a central nucleus composed of 29 protons and 29 neutrons,
surrounded by an electron cloud containing 35 electrons.
D. It has a central nucleus composed of 35 protons and 29 neutrons,
surrounded by an electron cloud containing 29 electrons.
Answer:
It has a central nucleus composed of 29 protons and 35 neutrons, surrounded by an electron cloud containing 29 electrons
Explanation:
Atoms Composition:
A atom is mainly composed of a centrally-placed nucleus. A nucleus consists of protons and neutrons with a cloud of electrons surrounding the outside. A proton is a nuclear particle having a positive charge equal to that of an electron and a mass more than 1800 times the electron. A neutron is a nuclear particle having a mass almost identical to that of an electron, but no electric charge.Calculation:
Mass number = Proton + Neutron64 = 29 + NeutronCollect like termsNeutron = 64 – 29Neutron = 35If a constant force of 917 N is exerted on a scooter for 6 s, thenwhat is the change in momentum?
a 6 kg-m/s
b 5502 kg-m/s
c 917 kg-m/s
d 153 kg-m/s
Answer: 917
Explanation:
The change in momentum if a constant force of 917 N is exerted on a scooter for 6s is 5502kg-m/s.
How to calculate momentum?Momentum is the tendency of a body to maintain its inertial motion. It is the product of its mass and velocity, or the vector sum of the products of its masses and velocities.
Force = mass x (velocity/time)
Force = (mass x velocity)/time
Force = momentum/time
According to this question, a constant force of 917 N is exerted on a scooter for 6s. The change in momentum is calculated as follows:
917N = p/6
p = 5502kg-m/s
Therefore, 5502kg-m/s is the change in momentum of the scooter.
Learn more about momentum at: https://brainly.com/question/904448
#SPJ1
examples of cultural lag
Answer:
when you lag in culture
Explanation:
it makes sense
Answer:
Well it could possibly be because of where you live, or if there is a strong power source or WiFi thing.
Explanation:
I’m sorry if my answers not the best I’m just doing it of my own experience from bad WiFi.
