(a)
To Find: The peak current in the circuit using Kirchhoff’s loop rule and trigonometric identity.
(a)
Answer to Problem 27P
Explanation of Solution
Given:
Potential difference across terminals of one of the generators,
Potential difference across terminals of one of the other generators,
Where,
Resistance,
Formula used:
Kirchhoff’s Voltage law:
Sum of the potential in a closed loop circuit is zero.
Calculation:
ApplyingKirchhoff’s voltage law:
Conclusion:
(b)
To Find: The peak current in the circuit by using a phasor diagram.
(b)
Answer to Problem 27P
Explanation of Solution
Given:
Potential difference across terminals of one of the generators,
Potential difference across terminals of one of the other generators,
Where,
Resistance,
Formula used:
Vector formula
Where,
Calculation:
Angle between the vectors
Magnitude of
But,
It is given that
Therefore,
Conclusion:
(c)
To Find: The current in the resistor.
(c)
Answer to Problem 27P
Explanation of Solution
Given:
Potential difference across terminals of one of the generators,
Potential difference across terminals of one of the other generators,
Where,
Resistance,
Formula used:
Kirchhoff’s loop rule
Sum of the potential in the circuit is zero.
Calculation:
ApplyingKirchhoff’s loop rule
For,
Therefore,
Conclusion:
The current in the resistor is
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Chapter 29 Solutions
Physics for Scientists and Engineers
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