Determine the conjugate of each of the following: (a) 8 − j; (b) 8e−9t; (c) 22.5; (d) 4ej9; (e) j2e−j11.
(a)
The conjugate of the given expression.
Answer to Problem 1E
The conjugate of the given expression is
Explanation of Solution
Given data:
The expression is,
Calculation:
Since, the complex conjugate of any number is obtained by replacing all occurrences of
Conclusion:
Therefore, the conjugate of the given expression is
(b)
The conjugate of the given expression.
Answer to Problem 1E
The conjugate of the given expression is
Explanation of Solution
Given data:
The expression is,
Calculation:
Since, in the given expression there is no occurrence of
Conclusion:
Therefore, the conjugate of the given expression is
(c)
The conjugate of the given expression.
Answer to Problem 1E
The conjugate of the given expression is
Explanation of Solution
Given data:
The expression is,
Calculation:
Since, in the given expression there is no occurrence of
Conclusion:
Therefore, the conjugate of the given expression is
(d)
The conjugate of the given expression.
Answer to Problem 1E
The conjugate of the given expression is
Explanation of Solution
Given data:
The expression is,
Calculation:
The general form for expression is written as,
The given expression is written as,
Since, the complex conjugate of any number is obtained by replacing all occurrences of
The conjugate of expression is written as,
Conclusion:
Therefore, the conjugate of the given expression is
(e)
The conjugate of the given expression.
Answer to Problem 1E
The conjugate of the given expression is
Explanation of Solution
Given data:
The expression is,
Calculation:
The general form for expression is written as,
The given expression is written as,
Since, the complex conjugate of any number is obtained by replacing all occurrences of
The conjugate of expression is written as,
Conclusion:
Therefore, the conjugate of the given expression is
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