SOLUTION: The formula E = IZ, where E represents voltage, I represents current, and Z represents impedance (a measure of opposition to a sinusoidal electric current), is used in electric

Algebra ->  Trigonometry-basics -> SOLUTION: The formula E = IZ, where E represents voltage, I represents current, and Z represents impedance (a measure of opposition to a sinusoidal electric current), is used in electric      Log On


   

Question 1085722: The formula
E = IZ,
where E represents voltage, I represents current, and Z represents impedance (a measure of opposition to a sinusoidal electric current), is used in electrical engineering. Each variable is a complex number.
Use the formula to find the missing quantity for the given conditions. Then convert the given conditions to trigonometric form and check your result. (Enter your answer in the form a + bi.)
I = 12 + 2i
Z = 5 + 4i
so what E is equal to?
plwase help me solve this
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
E = I*Z
E = ( I ) * ( Z )
E = ( 12+2i ) * ( 5+4i )
E = 12*( 5+4i ) + 2i*( 5+4i )
E = 12*(5) + 12*(4i) + 2i*(5)+ 2i*(4i)
E = 60 + 48i + 10i + 8i^2
E = 60 + 48i + 10i + 8(-1)
E = 60 + 48i + 10i - 8
E = (60 - 8) + (48i + 10i)
E = (60 - 8) + (48 + 10)i
E = 52 + 58i