Answer:
8 x 10⁻⁷ x I / r
Explanation:
Two parallel long wires are carrying current I . Let the direction be towards the right in the farthest and towards the left in the nearest. Magnetic field due to current I at a distance d is given by the expression
B = μ₀ 2 I / 4π d
I the present case distance d = r/2
Magnetic field due to one wire at point d = r/2 is
B₁ = μ₀ 2 I / (4π r / 2 )
= 10⁻⁷ x 4I / r
Magnetic field due to the other wire at point d = r/2 is
B₂ = μ₀ 2 I / (4π r / 2 )
= 10⁻⁷ x 4I / r
Direction of magnetic field due to both the wires at the mid point P will be same . It will be in downward direction in the given scenario
So total magnetic field
B = B₁ + B₂
= 2 x 10⁻⁷ x 4I / r
= 8 x 10⁻⁷ x I / r
Answer:
We know that for a pendulum of length L, the period (time for a complete swing) is defined as:
T = 2*pi*√(L/g)
where:
pi = 3.14
L = length of the pendulum
g = gravitational acceleration = 9.8 m/s^2
Now, we can think on the swing as a pendulum, where the child is the mass of the pendulum.
Then the period is independent of:
The mass of the child
The initial angle
Where the restriction of not swing to high is because this model works for small angles, and when the swing is to high the problem becomes more complex.
15 meters due to the fact that gravitational potential energy equals mass times gravity times height.
Answer:
Incomplete question
This is the complete question
The Earth possesses an electric field of (average) magnitude 150 near its surface. The field points radially inward. Calculate the net electric flux outward through a spherical surface surrounding, and just beyond, the Earth's surface.
Explanation:
Given that,
Electric field is 150N/C inward
i.e E = - 150 i
Then, electric flux (Φ) is given as
Φ=∮E.dA
Surface area of a sphere is
A=4πr²
dA=8πr dr
The area is outwardly i.e
dA=-8πr dr i
Φ=∮E.dA
Φ=∮-150 i • 8πr i dr from 0 to R
Φ= -1200π∮rdr. From 0 to R
Φ= -1200π r²/2. From 0 to R
Φ= -600π [R² -0²]
Φ= -600πR²
Where R is radius of earth which is 6,400,000m
Φ= -600πR²
Φ= -600π(6400000)²
Φ= -7.72×10^16 Nm²/C
Honestly, look it up on google. It will give you the formula instantly. Like what I did, and here's your answer V(Volume) = Pie(3.14) x R(Radius)Squared(x2) x H(Height)
