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lana [24]
3 years ago
14

A 150-loop coil of cross sectional area 6.3 cm2 lies in the plane of the page. An external magnetic field of 0.060 T is directed

out of the plane of the page. The external field decreases to 0.030 T in 15 milliseconds.
(a) What is the magnitude of the change in the external magnetic flux enclosed by the coil
(B) What is the magnitude of the average voltage induced in the coil as the external flux is changing?
(C) If the coil has a resistance of 4.0 ohms, what is the magnitude of the average current in the coil?
Physics
1 answer:
algol [13]3 years ago
3 0

Answer:

Explanation:

area of loop = 6.3 x 10⁻⁴ m²

Total flux ( initial )

nB A

=  150 x .06 x  6.3 x 10⁻⁴

Final magnetic flux

150 x .03 x  6.3 x 10⁻⁴

change in flux

150 x .06 x  6.3 x 10⁻⁴ - 150 x .03 x  6.3 x 10⁻⁴

= 28.35 x 10⁻⁴ Weber .

b ) voltage induced = rate of change of flux

= change in flux / time

= 28.35 x 10⁻⁴  / 15 x 10⁻³

= 1.89 x 10⁻¹ V

c )

current induced = voltage induced / resistance

= 1.89 x 10⁻¹  / 4

= .4725 x 10⁻¹ A

= 47.25  m A .

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Answer:

option B

Explanation:

given,

height of building = 0.1 km

ball strikes horizontally to ground at = 65 m    

speed at which the ball strike = ?

vertical velocity  = 0 m/s

time at which the ball strike

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

t = \sqrt{\dfrac{2s}{g}}

t = \sqrt{\dfrac{2\times 100}{9.8}}

t = 4.53 s

vertical velocity at the time  4.53 s = g × t = 9.8 × 4.53 = 44.39 m/s

horizontal velocity = \dfrac{65}{4.53} =14.35 m/s

speed of the ball = \sqrt{44.39^2+14.35^2}

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The correct answer is option B

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3 years ago
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What did the Federal Highway Act do?
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3 years ago
Suppose that an object is moving along a vertical line. Its vertical position is given by the equation L(t) = 2t3 + t2-5t + 1, w
Tatiana [17]

Answer:

The average velocity is

266\frac{m}{s},274\frac{m}{s} and 117\frac{m}{s} respectively.

Explanation:

Let's start writing the vertical position equation :

L(t)=2t^{3}+t^{2}-5t+1

Where distance is measured in meters and time in seconds.

The average velocity is equal to the position variation divided by the time variation.

V_{avg}=\frac{Displacement}{Time} = Δx / Δt = \frac{x2-x1}{t2-t1}

For the first time interval :

t1 = 5 s → t2 = 8 s

The time variation is :

t2-t1=8s-5s=3s

For the position variation we use the vertical position equation :

x2=L(8s)=2.(8)^{3}+8^{2}-5.8+1=1049m

x1=L(5s)=2.(5)^{3}+5^{2}-5.5+1=251m

Δx = x2 - x1 = 1049 m - 251 m = 798 m

The average velocity for this interval is

\frac{798m}{3s}=266\frac{m}{s}

For the second time interval :

t1 = 4 s → t2 = 9 s

x2=L(9s)=2.(9)^{3}+9^{2}-5.9+1=1495m

x1=L(4s)=2.(4)^{3}+4^{2}-5.4+1=125m

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The average velocity for this interval is :

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Finally for the third time interval :

t1 = 1 s → t2 = 7 s

The time variation is t2 - t1 = 7 s - 1 s = 6 s

Then

x2=L(7s)=2.(7)^{3}+7^{2}-5.7+1=701m

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The position variation is x2 - x1 = 701 m - (-1 m) = 702 m

The average velocity is

\frac{702m}{6s}=117\frac{m}{s}

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