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7nadin3 [17]
3 years ago
9

Consider a continuous-time LTI system whose frequency response is I x sin(4w) H(jw) = -x h(t)e-jwtdt = w If the input to this sy

stem is a periodic signal x(t) = { ~ l, O:s:t<4 4:St<8 with period T = 8, determine the corresponding system output y(t).

Engineering
1 answer:
Helga [31]3 years ago
8 0

Answer:

I believe this is your question.

See the hand worked solution attached.

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Answer:

a) the inductance of the coil is 6 mH

b) the emf generated in the coil is 18 mV  

Explanation:

Given the data in the question;

N = 570 turns

diameter of tube d = 8.10 cm = 0.081 m

length of the wire-wrapped portion l =  35.0 cm = 0.35 m

a) the inductance of the coil (in mH)

inductance of solenoid

L = N²μA / l

A = πd²/4  

so

L = N²μ(πd²/4) / l

L = N²μ(πd²) / 4l

we know that μ = 4π × 10⁻⁷ TmA⁻¹

we substitute

L = [(570)² × 4π × 10⁻⁷× ( π × (0.081)² )] / 4(0.35)

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b)

Emf ( ∈ ) = L di/dt

given that; di/dt = 3.00 A/sec

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Emf ( ∈ ) = L di/dt

we substitute

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= 18 × 10⁻³ V

= 18 × 10⁻³ × 1000

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