Exercises 89-94: Electricity Complex numbers are used in the study of electrical circuits. Impedance Z (or the opposi- tion to the flow of electricity), voltage V, and current I can all be represented by complex numbers. They are related by the equation Z = 4. Find the value of the missing variable. I = 8 + Si I = 8 + 6i 89. V = 50 + 98i 90. V = 30 + 60i 91. I = 1 + 2i Z = 3 – 4i 92. 1= } + Z = 8 - 9i 93. Z = 22 - 5i V = 27 + 17i 94. Z = 10 + 5i V = 10 + 8i

Q: 1) Write the conjugate of each complex number a. 7 (3+6i) b. (5-7i) (10+ 5i) c. (4.5+3i)/ (3-10i)

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Q: Write the complex number (-1-i)0 in the form x+iy - 8 Ob. 16 -32 d. 32i

A: If z=x+iy is a complex number where x and y are real numbers then its polar form is written as the…

Q: Complex numbers are used to describe current, I, voltage, E, and impedance, Z. These three…

A: E = 24+62i

Q: find quotient 1/z for given complex number z=-sqrt 3 + i

A: The given complex number is z=-3+i. The conjugate of the given complex number is as follows. z=-3-i

Q: Write the following complex numbers in exponential form: z = r exp (10) z = 9+8i, w=-4-10 i, u=4-5i

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Q: The conjugate of complex number z satisfy: Oz+z=1 Oz-z=0 Oz-z=2ilmz | Oz+z=2Rez

A: let's consider a complex number , z=Re(z)+i Img(z)  i.e z=x+iy

Q: Simplify over the set of complex numbers. V-100 (31) 1. 2. 3.

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Q: The imaginary number i is defined such that i =-1. What does i+ ? ++t + + +i + +° +i10 + il equal?…

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Q: Find the difference between the complex numbers. (4 – 7 i)- (5+ 6 i )-(-1-13 i) (4 – 7 i)- (5+…

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Q: Simplifica cada producto.(Simplify each product.) (7-10) 7) (4i – 3)(2i + 7) 8) 3i(2i? + 4) 9) (i –…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Plot the complex number z = 3 and find its absolute value.

A: Consider the given: z=3It can be written as:z=3+0iComparing z=x+iy,here,x=3,y=0

Q: What is the complex conjugate of the root æ 3i? O a = -3i

A: if a+ ib is the complex then its conjugate root is a-ib

Q: (7i)(7i)(5-6i)

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Q: Find a complex number for which Arg(z bar) does not equal -Arg(z).

A: For all non zero complex number we have Arg(z bar) = - Arg (z)  as if z = x+iy  which imples z¯ = x…

Q: Reduce the quantity below to a complex number a + ib where a, b ER: 1 + 2i 3 - 4i + 1- i 1 + 2i +(3…

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Q: Plot the complex number z = 4i and find its absolute value.

A: To plot the complex number z=4i and find its absolute value.