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fenix001 [56]
1 year ago
6

A sinusoidal wave of wavelength 2.00m and amplitude 0.100 m travels on a string with a speed of 1.00 m/s to the right. At t = 0

, the left end of the string is at the origin. For this wave, find.(e) the left end of the string.
Physics
1 answer:
Elanso [62]1 year ago
5 0

The left end of the string is given as y = - 0.100 sin (3.14t )

<h3>How to find the sinusoidal wave</h3>

We would have to create an equation of this form

The wave function equation

y = A sin ( π*x - ω* t )

When we put in the values that we have in the equation

y = 0.100 sin ( 3.14 x - 3.14 t )

Due to the fact that it is the left end of the string, the value that we would have for x is going to be 0, hence we would have

y = 0.100 sin (3.14 * (0) - 3.14t )

Then y would be 0.100 sin (- 3.14t )

This would give us the final equation

y = - 0.100 sin (3.14t )

Hence we would have the left end of the string as y = - 0.100 sin (3.14t )

Read more on sinusoidal wave here:

brainly.com/question/20912200

#SPJ4

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A coil has 400 turns and self-inductance 7.50 mH. The current in the coil varies with time according to i = 1680 mA2 cos [πt/(0.
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Answer:

(a) 1.58 V

(b) 0.0126 Wb

(c) 0.0493 V

Solution:

As per the question:

No. of turns in the coil, N = 400 turns

Self Inductance of the coil, L = 7.50 mH = 7.50\times 10^{- 3}\ H

Current in the coil, i = 1680cos[\frac{\pi t}{0.0250}] A

where

i_{max} = 1680\ mA = 1.680\ A

Now,

(a)  To calculate the maximum emf:

We know that maximum emf induced in the coil is given by:

e = \frac{Ldi}{dt}

e = L\frac{d}{dt}(1680)cos[\frac{\pi t}{0.0250}]

e = - 7.50\times 10^{- 3}\times \frac{\pi}{0.0250}\times \frac{d}{dt}(1680)sin[\frac{\pi t}{0.0250}]

For maximum emf, sin\theta should be maximum, i.e., 1

Now, the magnitude of the maximum emf is given by:

|e| = 7.50\times 10^{- 3}\times 1680\times 10^{- 3}\times \frac{\pi}{0.0250} = 1.58\ V

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\phi_{m, avg} = L\times i_{max} = 7.50\times 10^{- 3}\times 1.680 = 0.0126\ Wb

(c) To calculate the magnitude of the induced emf at t = 0.0180 s:

e = e_{o}sin{\pi t}{0.0250}

e = 7.50\times 10^{- 3}\times sin{\pi \times 0.0180}{0.0250} = 2.96\times 10^{- 4} =0.0493\ V

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