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kenny6666 [7]
3 years ago
11

Two straight wires carry current of 5A opposite direction separated by a distance of 30cm. What is the magnitude of magnetic fie

ld at point P exactly the middle of them 15cm from each wire
Physics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer:

The magnitude of magnetic field of both wires is β= 13. 33x10^{-6}T

Explanation:

p=15cm*\frac{1m}{100cm}=0.15m

I=5A

u_{o} = 4*\pi x10^{-7}

Using the right hand rule field magnetic as the current go in opposite direction the field in the point exactly in the middle have the same direction both so

\beta _{t} =\beta _{1}+\beta _{2}

They have the same direction and the P point is the middle as the same current field can be find:

\beta _{t} =\beta _{1}*2

\beta = \frac{u_{o}*I }{2*\pi *p} \\\beta =\frac{4*\pi x10^{-7}*5A }{2*\pi *\frac{30}{2} } \\\beta =\frac{4x10^{-7}*5 }{0.30} \\\beta =6.6x10^{-6}T

\beta _{t} =6.6x10^{-6}*2=13.33x10^{-6}T

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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)

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pi = 3.14

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Now, we can think on the swing as a pendulum, where the child is the mass of the pendulum.

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A wire of arbitrary shape, which is confined to the x-y plane, carries a current i from point a to point b in the plane. show th
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Answer:

See explanation

Explanation:

Solution:-

- A wire of arbitrary shape,which is confined to the x-y plane,carries a current I from point A to point B in the x-y plane.

- See diagram (attached) for clarity.

- Let’s assume that the horizontal distance between A and B is "s" and the vertical distance between A and B is "d". Then for the straight line path vector ( L ):

                    L = s i^ + d j^

- The force on the straight wire with current I is then:

                    F = I * ( L x B )

Where,  L: The path vector between points A and B

             B: The magnetic field strength vector

For the curved wire vector "ds = dx i^ + dy j^" and the force on the wire is:

                   F = ∫ [ I (ds x B) = I ∫ (dx i^ + dy j^) x B

When current "I" and magnetic field "B" are uniform then we can pull both of them out of the integral. Separate the integral and calculate each differential separately:

                  F = I ∫ (dx i^) x B + I ∫ (dy j^) x B

                     = I (s i^ x B) + I ( d j^ x B ) = I ( L x B )

- The force of curved and straight line have the same force:

                 F = I ( L x B ) acting on them.

                   

                     

4 0
3 years ago
An airplane is traveling 25° west of north at 300 m/s when a wind with velocity 100 m/s directed 35° east of north begins to blo
hodyreva [135]

Answer:

The resultant velocity is 360.5 m/s  and direction 79° north of east.

Explanation:

Given that,

Velocity of airplane = 300 m/s

Velocity of wind = 100 m/s

Angle θ₁ = 25°

Angle θ₂ =35°

The horizontal velocity component

Using formula of velocity

v_{x}=v_{1}\cos\theta-v_{2}\cos\theta

Put the value into the formula

v_{x}=300\cos65-100\cos55

v_{x}=69.42\ m/s

The vertical velocity component

Using formula of velocity

v_{y}=v_{1}\sin\theta+v_{2}\sin\theta

Put the value into the formula

v_{y}=300\sin65+100\sin55

v_{y}=353.8\ m/s

We need to calculate the resultant velocity

Using formula of resultant velocity

v=\sqrt{v_{x}^2+v_{y}^2}

Put the value into the formula

v=\sqrt{69.42^2+353.8^2}

v=360.5\ m/s

We need to calculate the direction of the resultant velocity

Using formula of direction

\tan\theta=\dfrac{v_{y}}{v_{x}}

Put the value into the formula

\theta=\tan^{-1}(\dfrac{353.8}{69.42})

\theta=79^{\circ}

Hence, The resultant velocity is 360.5 m/s  and direction 79° north of east.

3 0
3 years ago
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