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mina [271]
2 years ago
9

7) A long straight wire of radius 1.00x10-3 m (1 mm) carries uniform current density J such that the magnetic field at the edge

of the wire is 10-5 T. At what distances from the center of the wire is the magnetic field equal to 5x10-6 T? A) 0.5 and 2 mm. B) 2 mm only. C) 0.5 mm only. D) 0.25 and 2 mm. E) 0.25 mm and 2 mm
Physics
1 answer:
Vedmedyk [2.9K]2 years ago
3 0

Answer:A)0.5 and 2 mm

Explanation:

Given

radius R of wire is 1 mm

magnetic Field at edge(surface) =10^{-5} T

Magnetic Field at a distance r' from Center is B'=5\times 10^{-6} T

and we know

B=\frac{\mu _0I}{2\pi r}

where I= current

\mu _o=Permeability of free space

r=distance from center

For r=R

10^{-5}=\frac{\mu _0I}{2\pi R}---1

For r=r'

5\times 10^{-6}=\frac{\mu _0I}{2\pi r'}---2

Divide 1 and 2

\frac{10^{-5}}{0.5\times 10^{-5}}=\frac{r'}{R}

r'=2 R=2 mm

If r is inside the wire then

B=\frac{\mu _0rI}{2\pi R^2}

for r=R

10^{-5}=\frac{\mu _0R\cdot I}{2\pi R^2}---3

for r=r"

5\times 10^{-6}=\frac{\mu _0r"I}{2\pi R^2}----4

Divide 3 and 4

2=\frac{R}{r"}

r"=0.5 mm

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Answer:

v_x = 1.26 m/s

Explanation:

given,

weight of swimmer = 510 N

length of ledge, L = 1.75 m

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horizontal velocity  of the swimmer should be that much it can cross the wedge.

distance = speed x time

d = v_x × t

1.75 = v_x × t ........(1)

now,time taken by the swimmer to cover 9 m

initial vertical velocity of the swimmer is zero.

using equation of motion for time calculation

s = ut +\dfrac{1}{2}gt^2

9= 0+\dfrac{1}{2}\times 9.8\times t^2

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same time will be taken to cover horizontal distance.

now, from equation 1

1.75 = v_x × 1.39

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horizontal speed of the swimmer is equal to 1.26 m/s

4 0
3 years ago
A car travels across Texas m miles at the rate of t miles per hour. How many hours does the trip take??
Marianna [84]

Answer: The trip takes \frac{m}{t}hours

Explanation:

Velocity V is the variation of the position of a body (distance traveled d) with time T:

V=\frac{d}{T}

In this case, the car travels a distance d=m miles at a velocity V=t \frac{miles}{hour} and we need to find the time it takes the trip.

Isolating  T:

T=\frac{d}{V}=\frac{m miles}{t \frac{miles}{hour}}

Finally:

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3 years ago
A spy satellite uses a telescope with a 1.7-m-diameter mirror. It orbits the earth at a height of 180 km.
WINSTONCH [101]

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5 0
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