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nydimaria [60]
3 years ago
14

A long solenoid that has 1,140 turns uniformly distributed over a length of 0.350 m produces a magnetic field of magnitude 1.00

X 10^-4 T at its center. What current is required in the windings for that to occur? Apply the expression for the magnetic field along the axis of a solenoid to find the current.
Physics
1 answer:
Troyanec [42]3 years ago
3 0

Answer:

I = 2.4 *10^{-2} A = 2.4 mA

Explanation:

The magnetic field B inside long solenoid with current I is given as

B = \frac{N \mu_o I}{L}

where

N is number of turn of solenoids = 1140 turns

\mu_0 = 4*\pi *10^{-7} T.m

I is current that passes through solenoid

L is length along which current pass = 0.350 m

plugging value to get required value of current

1.00*10^{-4} = \frac{1140*4*\pi *10^{-7} I}{0.350}

I = 2.4 *10^{-2} A = 2.4 mA

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A block suspended from a spring is oscillating vertically with a frequency of 4 Hz and an amplitude of 7 cm. A very small rock i
Gekata [30.6K]

Answer:

v = - 1,715 m / s ,   x = 0.0156 m

Explanation:

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          x = A cos (wt + Ф)

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As we are told that the stone does not affect the movement of the spring mass system, the amplitude and angular velocity do not change, in the upward movement the stone is attached to the mass, but in the downward movement the mass has an acceleration greater than g leave the stone behind, let's look for time, for this we use the definition of speed and acceleration

         v = dx / dt

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          a = - Aw² cos wt

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         -g = - Aw² cos wt

          wt = cos⁻¹ (g / Aw²)

          t = 1 / w cos⁻¹ (g / Aw²)

       

angular velocity and frequency are related

        w = 2π f

        w = 2π 4

         w = 8π   rad / s

remember that the angles are in radians

          t = 1 / 8π cos⁻¹ (9.8 / (0.07 64π²))

          t = 0.039789 1.3473

          t = 0.0536 s

let's find the speed for this time

          v = - A w sin wt

          v = - 0.07 8π sin (8π 0.0536)

          v = - 1,715 m / s

the distance is

           x = A cos wt

           x = 0.07 cos (8π 0.0536)

           x = 0.0156 m

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