EBK PHYSICS FOR SCIENTISTS AND ENGINEER
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 9780100460300
Author: SERWAY
Publisher: YUZU
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Chapter 33, Problem 33.1QQ

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
Check Mark
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
Check Mark
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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