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4 years ago

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A wire is wrapped 200 times around a hollow cylinder of cross-sectional area 12 cm2 and length 10 cm. Assuming the turns are spr

ead out evenly over the length of the cylinder, how much energy is stored in this coil when the wire carries a current of 6 A

1 answer:

Sonja [21]4 years ago

7 0

Answer:

The answer is 10.857mJ

Explanation:

The energy stored in this solenoid is given by the below mentioned equation,

$U = L*I^{2}/2$

where L the inductance of this solenoid is given by the below mentioned equation,

$L = u_{0} *N^{2}*A/L$

Plugging this into the energy equation you obtain the equation for the total energy stored in the magnetic field of the solenoid, given by,

$U = u_{0} *N^{2}*A*I^{2}/(2*L)$

where $u_{0}$ is the permeability of free space which equals to $u_{0} = 4*\pi *10^{-7} T.m/A$ . Plugging all the quantities into the above equation from the data in the question after converting to standard units. of meters instead of centimeters, we get for the energy stored in the coil,

$U = 10.857mJ$

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3 years ago

A 0.5kg stone moving north at 4 m/s collides with a 4kg lump of clay moving west at 1 m/s. The stone becomes embedded in the cla

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Answer:

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Here the law of conservation of energy says that

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dividing equation (4) by (3) gives

$\dfrac{ m_2v_2=(m_1+m_2)v_f sin(\theta)}{ m_1v_1=(m_1+m_2)v_f cos(\theta)}$

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Thus, the velocity of the composite body is 0.99m/s 63.43° west of north.

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3 years ago