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Question

The principal mod-amp form 22+i22 is

A
2cisπ4
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B
2cisπ4
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C
4cisπ4
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D
33cisπ4
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Solution

The correct option is B 4cisπ4
Let z=a+ib=22+22i
|z|=a2+b2
=8+8
=4
amp(z) =tan1(b/a)
=tan1(1)
=π4

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