Consider the voltage phasor in Figure 32.4, shown at three instants of time. (i) Choose the part of the figure, (a), (b), or (c), that represents the instant of time at which the instantaneous value of the voltage has the largest magnitude. (ii) Choose the part of the figure that represents the instant of time at which the instantaneous value of the voltage has the smallest magnitude.
Consider the voltage phasor in Figure 32.4, shown at three instants of time. (i) Choose the part of the figure, (a), (b), or (c), that represents the instant of time at which the instantaneous value of the voltage has the largest magnitude. (ii) Choose the part of the figure that represents the instant of time at which the instantaneous value of the voltage has the smallest magnitude.
Consider the voltage phasor in Figure 32.4, shown at three instants of time. (i) Choose the part of the figure, (a), (b), or (c), that represents the instant of time at which the instantaneous value of the voltage has the largest magnitude. (ii) Choose the part of the figure that represents the instant of time at which the instantaneous value of the voltage has the smallest magnitude.
(i)
Expert Solution
To determine
The correct Figure that represents the largest magnitude of voltage at instant of time.
Answer to Problem 33.1QQ
The largest magnitude of voltage at instant of time represents Figure (c).
Explanation of Solution
A phasor diagram is arrow whose length represents the amplitude of an AC voltage or current. The phasor diagram rotates counterclockwise about the origin with angular frequency of the AC quantity. The maximum rotation of the length of the arrow with angular frequency represents the largest magnitude of voltage. Hence, the Figure (c) represents the largest magnitude of voltage at instant of time
Conclusion:
Therefore, the Figure (c) represents the largest magnitude of voltage at instant of time because of maximum rotation of arrow in counterclockwise with maximum frequency.
(ii)
Expert Solution
To determine
The correct Figure that represents the smallest magnitude of voltage at instant of time.
Answer to Problem 33.1QQ
The smallest magnitude of voltage at instant of time represents Figure (b).
Explanation of Solution
A phasor diagram is arrow whose length represents the amplitude of an AC voltage or current. The phasor diagram rotates counterclockwise about the origin with angular frequency of the AC quantity. The minimum rotation of the length of the arrow with minimum angular frequency represents the minimum voltage. Hence, the Figure(b) represents the minimum voltage at instant of time because of minimum rotation of the length of the arrow with minimum angular frequency represents.
Thus, the Figure (b) represents the smallest magnitude of voltage at instant of time.
Conclusion:
Therefore, the Figure (b) represents the smallest magnitude of voltage at instant of time because of minimum rotation of arrow in counterclockwise with minimum frequency.
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ROTATIONAL DYNAMICS
Question 01
A solid circular cylinder and a solid spherical ball of the same mass and radius are rolling
together down the same inclined. Calculate the ratio of their kinetic energy. Assume pure
rolling motion Question 02
A sphere and cylinder of the same mass and radius start from ret at the same point and more
down the same plane inclined at 30° to the horizontal
Which body gets the bottom first and what is its acceleration
b) What angle of inclination of the plane is needed to give the slower body the same
acceleration
Question 03
i)
Define the angular velocity of a rotating body and give its SI unit
A car wheel has its angular velocity changing from 2rads to 30 rads
seconds. If the radius of the wheel is 400mm. calculate
ii)
The angular acceleration
iii)
The tangential linear acceleration of a point on the rim of the wheel
Question 04
in 20
Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
(dx²
+ dy²+ dz²),
t2
where t is a constant.
a)
State whether this universe is spatially open, closed or flat.
[2 marks]
b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function
of time t, starting at t = 0.
[3 marks]
c) Taking galaxy A to be located at (x, y, z) = (0,0,0), determine the proper distance to galaxy
B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect
to galaxy A.
d) The Friedmann equations are
2
k
8πG
а
4πG
+
a²
(p+3p).
3
a
3
[5 marks]
Use these equations to determine the energy density p(t) and the pressure p(t) for the
FLRW spacetime specified at the top of the page.
[5 marks]
e) Given the result of question B3.d, state whether the FLRW universe in question is (i)
radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv)
none of the previous. Justify your answer.
f)
[5 marks]
A conformally…
SECTION B
Answer ONLY TWO questions in Section B
[Expect to use one single-sided A4 page for each Section-B sub question.]
Question B1
Consider the line element
where w is a constant.
ds²=-dt²+e2wt dx²,
a) Determine the components of the metric and of the inverse metric.
[2 marks]
b) Determine the Christoffel symbols. [See the Appendix of this document.]
[10 marks]
c)
Write down the geodesic equations.
[5 marks]
d) Show that e2wt it is a constant of geodesic motion.
[4 marks]
e)
Solve the geodesic equations for null geodesics.
[4 marks]
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What is Electromagnetic Induction? | Faraday's Laws and Lenz Law | iKen | iKen Edu | iKen App; Author: Iken Edu;https://www.youtube.com/watch?v=3HyORmBip-w;License: Standard YouTube License, CC-BY