An AC source with ΔVmax = 150 V and f = 50.0 Hz is connected between points a and d in Figure P32.16. Calculate the maximum voltages between (a) points a and b, (b) points b and c, (c) points c and d, and (d) points b and d.
Figure P32.16 Problems 16 and 51.
(a)
The maximum voltage between points
Answer to Problem 16P
The maximum voltage between points
Explanation of Solution
Given Information: The value of resistance is
Formula to calculate the value of angular velocity is,
Here,
Formula to calculate the value of capacitive reactance is,
Here,
Substitute
Substitute
Thus, the value of capacitive reactance is
Formula to calculate the value of inductive reactance is,
Here,
Substitute
Substitute
Thus, the value of inductive reactance is
In
Formula to calculate the value of impedence of the circuit is,
Here,
Substitute
Thus, the value of impedence of the circuit is
Formula to calculate the maximum current across the
Here,
Substitute
Thus, the maximum current across the
Formula to calculate the maximum voltage between points
Here,
Substitute
Thus, the maximum voltage between points
Conclusion:
Therefore, the maximum voltage between points
(b)
The maximum voltage between points
Answer to Problem 16P
The maximum voltage between points
Explanation of Solution
Given Information: The value of resistance is
Formula to calculate the maximum voltage between points
Here,
Substitute
Thus, the maximum voltage between points
Conclusion:
Therefore, the maximum voltage between points
(c)
The maximum voltage between points
Answer to Problem 16P
The maximum voltage between points
Explanation of Solution
Given Information: The value of resistance is
Formula to calculate the maximum voltage between points
Here,
Substitute
Thus, the maximum voltage between points
Conclusion:
Therefore, the maximum voltage between points
(d)
The maximum voltage between points
Answer to Problem 16P
The maximum voltage between points
Explanation of Solution
Given Information: The value of resistance is
Formula to calculate the maximum voltage between points
Here,
Substitute
Thus, the maximum voltage between points
Conclusion:
Therefore, the maximum voltage between points
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Chapter 32 Solutions
Physics for Scientists and Engineers with Modern Physics
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