Magnitude of phasors question

Thread Starter

tadm123

Joined Nov 20, 2013
43
\(\sqrt{}\)\(\sqrt{}\)Can anyone help me, I'm trying to find the magintude of

H=(jω+10)\(^{2}\)

|H|= ?


My attempt, solving it so far.


H= j\(^{2}\)ω\(^{2}\)+20jω+100

H= (-1)ω\(^{2}\)+20jω+100


|H|= sqrt( (-ω\(^{2}\)+20jω)\(^{2}\)+100\(^{2}\))

But I'm stuck here, any help would be appreciated. Thanks
 
Last edited:

WBahn

Joined Mar 31, 2012
30,055
\(\sqrt{}\)\(\sqrt{}\)Can anyone help me, I'm trying to find the magintude of

H=(jω+10)\(^{2}\)

|H|= ?


My attempt, solving it so far.


H= j\(^{2}\)ω\(^{2}\)+20jω+100

H= (-1)ω\(^{2}\)+20jω+100


|H|= sqrt( (-ω\(^{2}\)+20jω)\(^{2}\)+100\(^{2}\))

But I'm stuck here, any help would be appreciated. Thanks
Q1) What is the expression for H in the form H=a+jb ?

Q2) What is the expression for |H| in terms of 'a' and 'b' from Q1?
 

shteii01

Joined Feb 19, 2010
4,644
\(\sqrt{}\)\(\sqrt{}\)Can anyone help me, I'm trying to find the magintude of

H=(jω+10)\(^{2}\)

|H|= ?


My attempt, solving it so far.


H= j\(^{2}\)ω\(^{2}\)+20jω+100

H= (-1)ω\(^{2}\)+20jω+100


|H|= sqrt( (-ω\(^{2}\)+20jω)\(^{2}\)+100\(^{2}\))

But I'm stuck here, any help would be appreciated. Thanks
Is the answer supposed to be a number or expression?
 
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