-Which of the following functions satisfy the one-dimensional wave equation? opt
ID: 1501228 • Letter: #
Question
-Which of the following functions satisfy the one-dimensional wave equation?
options:
y(x, t) = y0 sin(kx – t)
y(x, t) = y0 (sin kx) · B(cos t)
y(x, t) = y0 sin(kx – t) + B cos(kx – t)
-It has been suggested that a fundamental physical unit of time is the time required for light to traverse the diameter of the nucleus of an atom (approximately 3 × 10–13 m). This unit of time is approximately (D was incorrect when I did it)
Question options:
2 × 10–20 s
1 s
10–23 s
10–4 s
10–21 s
-A parallel-plate capacitor has closely spaced circular plates of radius R = 2.00 cm. Charge is flowing onto the positive plate at the rate I = 1.36 A. The magnetic field at a distance r = 2.00 cm from the axis of the plates is approximately(B was incorrect when I did it)
Question options:
401 mT
256 mT
136 mT
277 mT
325 mT
- Charge is flowing onto one plate of a parallel-plate capacitor and off the other plate at a rate of 5.00 A. The rate at which the electric field between the plates is changing is approximately (B was incorrect when I did it)
Question options:
5.65 × 1011 N · m2/(C · s)
2.45 × 1011 N · m2/(C · s)
1.76 × 1011 N · m2/(C · s)
12.4 × 1011 N · m2/(C · s)
E) 11.3 × 1011 N · m2/(C · s)
Please answer all parts, there are 4 of them and show what is the final answer in each part!!
A)y(x, t) = y0 sin(kx – t)
B)y(x, t) = y0 (sin kx) · B(cos t)
C)y(x, t) = y0 sin(kx – t) + B cos(kx – t)
Explanation / Answer
1) following functions satisfy the one-dimensional wave equation
=> y(x, t) = y0 sin(kx – t)
2) This unit of time is approximately
=> t = (3 × 10–13)/(3 * 108) = 10–21 s
3) The magnetic field = 2 * 10-7 * 1.36/(0.02 * 10-4)
= 136 mT
4) The rate at which the electric field between the plates is changing = 5/(8.854 * 10-12)
= 5.65 × 1011 N · m2/(C · s)
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