Hi there!
We can begin by deriving the magnetic field strength for a circular loop at its center.
Using Biot-Savart's Law:
[tex]dB = \frac{\mu_0}{4\pi }\frac{idl \times \^r}{r^2}[/tex]
μ₀ = Permeability of free space (Tm/A)
dl = Differential length element
r = radius (m)
We can rather use 'ds' to represent a differential arc length since we are finding the magnetic field for a circular loop.
We must begin by dealing with the cross-product. Luckily, this derivation is simple since the radius vector is ALWAYS perpendicular to the path of integration along the loop's circumference. (ONLY if we are finding the field for the direct center.) Thus, since sin(90) = 1, we can get rid of the cross-product.
Therefore:
[tex]dB = \frac{\mu_0}{4\pi }\frac{ids}{r^2}[/tex]
Now, we can integrate with respect to ds.
[tex]= \frac{\mu_0}{4\pi }\int\limits^{2\pi r}_0 {\frac{i}{r^2}} \, ds\\\\ = \frac{\mu_0}{4\pi }{\frac{i * 2\pi r}{r^2}} \, ds[/tex]
Simplify:
[tex]B = \frac{\mu_0 i_{circle}}{2r}\\[/tex]
Now, for a straight conductor (assuming of infinite length), we know the magnetic field strength equation to be:
[tex]B = \frac{\mu_0 i_{rod}}{2\pi r}[/tex]
Set the two equal.
[tex]\frac{\mu_0 i_{circle}}{2r}= \frac{\mu_0 i_{rod}}{2\pi r}[/tex]
Cancel out '2', μ₀, and 'r':
[tex]i_{circle}}= \frac{ i_{rod}}{\pi }[/tex]
Plug in the given values and solve.
[tex]40\pi = i_{rod}\\\\i_{rod} = \boxed{125.663 A}[/tex]
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
Sana loved swimming.She joined a new smimmimg club .When she looked at the floor of the pool to estimate its depth she found that it was shallow .But when she dived in the pool she found out that the pool was quiet deep.Write down the scientific reason for this situation?
Answer:
Refraction
Explanation:
When light passes from a rarer medium into a denser medium, it bends in the medium away from the normal. This creates the phenomenon of "apparent depth" as given in the question.
. True or False: A bystander intervention is the term used to define when an individual actively moves in and changes the outcome of a situation.
Answer:
true
Explanation:
What energy is produced by a 150 w lightbulb lit for 4.6 hours
W = Pt
W = 150 x (4.6 x 3600) = 2.484 x 10⁶ J
Light nulbs do not "produce" energy.
When YOU bring electrical energy from somewhere and pour it through the light bulb, the bulb turns some of it into light energy and the rest into heat energy .
(150 W) x (4.6 hr) =690 watt-hrs
or 0.69
Explain uses of conductors with either high or low resistance.
4) The specific heat of aluminum is 0.88 J/g °C. How much heat is released when a 10 g piece of aluminum foil is taken out of the oven and cools from 100° to 50°?
4.40 J
568 J
440 J
Answer:
See below
Explanation:
The units of the specific heat hint at how to solve these types of problems
.88 J/(g-C) * 10 g * (100- 50 C) = 440 J
( see how the g and the C 'cancel out' ?)
the diagram aeroplane banking to make a horizontal turn .The aeroplane is travelling at a speed of 75ms-1 and the radius of the turning circle is 800m
The centripetal acceleration of the aeroplane is determined as 7.03 m/s².
Centripetal acceleration of the aeroplaneThe centripetal acceleration of the aeroplane is calculated as follows;
ac = v²/r
where;'
v is the speed of the aeroplaner is the radius of the pathac = (75²)/(800)
ac = 7.03 m/s²
Thus, the centripetal acceleration of the aeroplane is determined as 7.03 m/s².
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A body of mass 200gram is executing SHM with amplitude of 20mm. The magnitude of maximum force which acts upon it is 0.6N. Calculate its maximum velocity?
Given ,
Mass of the body (m) = 200g
Amplitude (A) = 20mm
Maximum force (F) = 0.6 N
Maximum velocity (vmax) =?
We know that
Fmax = mv2max/A
or , 0.6 = 200×10-3xv2max/20×10-3
or , 0.6×20/200= v2max
or , vmax = 0.24 m/s
∴ Maximum velocity = 0.24 m/s2
The value of maximum velocity will be 0.3464 m/s². Energy or work is equal to the product of force and displacement.
What is velocity?The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The given data in the problem is
Mass of the body is,(m= 200g)
Amplitude is,(A =20 mm)
Maximum force is,F= 0.6 N
To find;
Maximum velocity
Energy or work is equal to the product of force and displacement.
[tex]\rm KE = \frac{1}{2} mV_{max}^2 \\\\ \rm F_{max} \times A = \frac{1}{2} mV_{max}^2 \\\\ F_{max}= \frac{1}{2}\frac{ mV_{max}^2}{A} \\\\ 0.6= \frac{1}{2}\times \frac{ 0.2 \times V_{max}^2}{20 \times 10^{-3}} \\\\ V_{max}=0.3464 \ m/sec^2[/tex]
Hence,the value of maximum velocity will be 0.3464 m/s².
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A diverging lens with f = -33.5 cm is placed 14 cm behind converging lens with f = 20cm. where will an object at infinity be focused?
Answer:
Explanation:
Focal length of diverging lens,
fd= -33.5 cm
focal length of converging lens,
fc = 20 cm
Now let s is object distance and s' is image distance.
Now using lens formula for conversing lens
\frac1{f_c}=\frac1{s}+\frac1{s'}
f
c
1
=
s
1
+
s
′
1
Putting all values(object is at s=infinity)
Then image distance
\frac1{s'}= \frac1{f_c}- \frac1{s}
s
′
1
=
f
c
1
−
s
1
=\frac1{20}- \frac1{\infin}=
20
1
−
∞
1
s'=20cms
′
=20cm
Now using lens formula for diversing lens
s''=14-20=-6cm
Using lens formula
\frac{1}{-33.5} = \frac{1}{-6 }+ \frac{1}{s''' }\\s'''=\frac{(6)\times(-33.5)}{(-33.5+6)}\\s'''=\frac{(-201) }{(-27.5) }
−33.5
1
=
−6
1
+
s
′′′
1
s
′′′
=
(−33.5+6)
(6)×(−33.5)
s
′′′
=
(−27.5)
(−201)
image distance for diverging lens
s''' = 7.3 cm (behind the diverging lens)
A diverging lens with f = -33.5 cm is placed 14 cm behind converging lens with f = 20cm. image distance for diverging lens, s''' = 7.3 cm (behind the diverging lens)
what are the type of lens ?When a lens in the path of a beam of parallel rays causes the rays to diverge after refraction, it is referred to as a diverging lens.
It always creates a virtual image and has a thinner core than its boundaries.
Concave lenses(diverging lenses) function as diverging lenses because they cause light rays to diverge as they pass through them.
Therefore, when used with air as the operating medium, a concave lens can be thought of as a diverging lens.
The concave lens has several applications, including in telescopes, cameras, lasers, glasses, binoculars, and other optical devices.
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Why do the other bulbs go dark when one bulb is removed in the series circuit but the other bulbs do not go dark when one bulb is removed in the parallel circuit?
Answer:
I think this
One bulb burning out in a series circuit breaks the circuit. In parallel circuits, each light has its own circuit, so all but one light could be burned out, and the last one will still function.
What distance does the car travel in the 3 seconds?
Why is impulse and momentum important in sports like cricket??
==============================
[tex] \large \sf \underline{Question:}[/tex]
Why is impulse and momentum important in sports like cricket??==============================
[tex] \large \sf \underline{Answer:}[/tex]
Impulse and momentum are important in sports like cricket because from the word "momentum" it describe itself like you're getting used of it or you know what to do like there's no stopping you.
==============================
How are impulse and momentum related?
brainly.com/question/2193212brainly.com/question/904448==============================
A projectile is shot at initial speed v0 = 8.94 m/s with angle theta = 26.5 degree as shown. It reaches the distance x = 24 m.
Find height h of the cliff, your answer should be positive.
A projectile is shot with the initial speed, it follows the motion called projectile motion. The height of the cliff is 44.91 m.
What is initial speed?The speed at the start of the motion is the initial speed.
The horizontal distance is
x = v₀ sin θ. t
Substitute 26.5 for θ, 24 for x and 8.94 m/s for x, we get the time taken to complete the journey.
t = 24/ (8.94 cos26.5) = 3 s
Maximum height reached
H = v₀²sin²θ/2g
H = (8.94)² x sin²( 26.5) /(2 x 9.8)
H =0.8118 m
The height of the cliff is obtained by the equation of motion
0.8118 - h = -1/2 gt² +v₀sinθ.t
Substitute the values, we get
h =0.8118 +1/2x9.8x (3)²
h =44.911m
Thus, the height of the cliff is 44.91 m.
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what is the speed of light in air ?
[tex] \\ [/tex]
ty! ~
Answer:
the speed of light in air is about 299,000,000 and 3×10⁸ m/s
How to calculate magnitude of tension if given an angle of 10°
Answer:
Mag isip ka po wag Kang tanong ng tanong kac kami po Yung nahihirapan mag hanap ng answer
if i wanted the laser to refract less as it exits the prism, i would
If you wanted the laser to refract less as it exits the prism, you should increase the wavelength of the light.
What is refraction?Refraction can be defined as a phenomenon which describes a change (bend) in the path taken by light when it's at surfaces between different transparent materials.
According to the model of light wave, the refraction of light is inversely proportional to its wave. Thus, you should increase the wavelength of light, if you want the laser to refract less as it exits the prism.
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A helium balloon has a pressure of 40 psi at 20°C. What will the pressure be at 40°C? Assume constant volume and mass.
Answer:
P V = N R T ideal gas equation
P2 / P1 = T2 / T1 where the other variables are constant
P2 = (T2 / T1) * P1 = (313 / 293) * 40 psi = 42.7 psi
An increase in voltage results in
If the current is held constant, an increase in voltage will result in an increase in resistance.
hope it helps...!!!
What do these two have an common ? A slice of banana turning brown, A banana getting ripe on the counter
Answer:
After some time on the counter, ripe bananas will develop a brown peel. Bananas contain the enzyme polyphenol oxidase, and when the enzyme interacts with oxygen, it causes a chemical reaction. This chemical reaction, known as enzymatic browning, changes the banana's peel and fruit to brown
Explanation:
Consider an object of mass 2kg at rest on a ramp with βs=0.5 and βk=0.4.
If the ramp angle is 60 degrees, how far can the object travel in the first 1 seconds?
The distance traveled by the object in the first 1 second is determined as 0.98 m.
Distance traveled by the objectThe distance traveled by the object is calculated as follows;
F - μkmgcosθ = ma
0 - μkmgcosθ = ma
- μkgcosθ = a
-(0.4)(9.8)cos60 = a
- 1.96 m/s² = a
s = ut + ¹/₂at²
s = 0(1) + ¹/₂(-1.96)(1)²
s = -0.98 m
|s| = 0.98 m
Thus, the distance traveled by the object in the first 1 second is determined as 0.98 m.
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Answer this question and show all the necessary steps to solve.
Answer:
√ ae/ ap = √ mp/me 1/2
Explanation:
Mass of the electron = M (Given)
Mass of the proton = M (Given)
Time = t (Given)
Electrostatic force, FE = eE (for both electron and proton)But acceleration of electron, ae =FE/me whereas
acceleration of proton, ap = FE/mp
S = 1/2at²1 = 1/2apt²2
Therefore,t2/t1= √ ae/ ap
t2/t1= √ ae/ ap = √ mp/me 1/2
Thus, the ratio is nearly equal to = √ ae/ ap = √ mp/me 1/2so, option D is correctAnswer:
Correct option is D) …
Explanation:
For electron t1 (small 1) = [tex]\sqrt{ \frac{2S}{ae}[/tex] (small e)
For protion, t2 (small 2) = [tex]\sqrt \frac{2S}{ap}[/tex] (small p)
or [tex]\frac{t2}{t1}[/tex] = [tex]\sqrt\frac{ae}{ap}[/tex] = [tex]\sqrt\frac{eE}{me} *\frac{mp}{eE}[/tex]
= [tex]\sqrt\frac{mp}{me}[/tex]
I’m gonna say everything that needs to go down as an exponent but down for example H20 but the 2 is small, also in order from top to bottom to fraction to fraction (small 2, 1, e, p, e, p, (after equal sign) p, e).
Hope this helped and brainliest pls
All nuclear reactions generate radioactive waste. Which answer correctly lists
nuclear reactions beginning with the cleanest reaction?
A. Radioactive decay, nuclear fusion, nuclear fission
B. Nuclear fission, nuclear fusion, radioactive decay
C. Nuclear fusion, nuclear fission, radioactive decay
D. Radioactive decay, nuclear fission, nuclear fusion
(100 POINTS AND BRAINLIEST)
1. What are the four groups of carbon compounds found in living things?
2. Classify each substance as either sugar, starch, protein, or nucleic acid.
a. the major compound that makes up the skin
b. glucose
c. the major compound in potatoes
d. DNA
3. What is the difference between saturated and unsaturated fat? Why are partially hydrogenated fats useful for making potato chips but not particularly healthy for humans to eat?
1. carbohydrates, lipids, proteins, and nucleic acids.
2. a is protein b is sugar c is starch and d is nuclear acid
3. What is the difference between saturated and unsaturated fat? it's that Saturated fats have the maximum number of hydrogens possible, while unsaturated fats have a double bond between two of the carbons. part 2. Why are partially hydrogenated fats useful for making potato chips but not particularly healthy for humans to eat? I was not able to find a different answer for it than part 1.
A student repeats a reaction several times to test the effects of various
changes on the reaction rate. The data table shows the results. How does
increasing the temperature of the system change thereaction rate?
A. Increasing the temperature decreases the reaction rate.
B. Increasing the temperature increases the reaction rate.
C. More information is needed to determine what happens to the reaction rate.
D. Increasing the temperature has no effect on the reaction rate.
Answer:
The correct answer is - C. Increasing the concentration increases the reaction rate.
Explanation:
Answer:
B. Increasing the temperature increases the reaction rate.
Explanation:
The reaction time column displays how long the reaction ran for. If a reaction rate was fast then time taken for reaction to run would be slow right?
Therefore, original condition had reaction time of 10 second, but increaseing temperature lowered the time to 5 second, which must mean that reaction rate increased.
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
Above is an image of people waiting at the train station to get on the incoming train. As the train slows down to stop, is it accelerating? Why or why not?
The definition of acceleration states that an object accelerates when it______, ______, or changes.
what are the missing words?
Explanation:
Acceleration is a vector quantity which is defined as the rate at which an object changes its velocity
Which of these objects must have the greatest force acting on it? pls help fast
A. A baseball being dropped to the ground.
B. A baseball being tossed 1 meter into the air.
C. A paper airplane being tossed across the room.
D. A bowling ball being tossed 1 meter into the air.
Let's look at Newton's second law
F=maForce is directly proportional towards mass
If mass is more force will be more.
Between baseball and bowling ball Bowling ball has higher mass
So it would expert most force
Option D
A 0.03 kg baby sea turtle moves across the sand toward the ocean at 0.3 m/s. What is her kinetic energy in Joules?
Answer:
.00135 j
Explanation:
K.E. = 1/2 m v^2
= 1/2 * .03 * .3^2 = .00135 j
Drag each label to the correct location on the image
Identify the particles and characteristics on this model of an atom
(Provide picture to explain more clearly)
A- Positively Charged
B- Electron
C- Proton
E- Neutron
D- Negatively Charged
Answer:
you cant really give any answers because i cant tell u were to drag
What type of wave is illustrated below?
Longitudinal
Transverse
Surface wave
Seismic wave
Answer:
Longitudinal
Explanation:
I searched it up.