What Are The Five Types Of Energy
Energy exists in many forms and they can be converted from one form to another. Although there are many types... View Article
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How Do You Know If A Transistor Is Npn Or Pnp
We can know if the transistor is NPN or PNP by using a digital multimeter. You can determine if a... View Article
How Are Transistors Named
A transistor is an electronic device that is made of semiconductor materials and is used to amplify or electronic signals.... View Article
The Complex Number 3 3i 1 I 3 3i I 3 3i When Represented In The Argand Diagram
Solution: Given z = (-√3+3i)(1-i)/(3+√3i)(i)(√3+√3i) Taking √3 outside = √3(-1+√3i)(1-i)/(√3)2(√3+i)(i)(1+i) = (1/√3)(-1+√3i)(1-i)/(-1+i√3)(1+i) = (1-i)/√3(1+i) Multiply numerator and denominator with (1-i)... View Article
If 5z2 11z1 Is Purely Imaginary Then The Value Of 2z1 3z2 2z1 3z2 Is
Solution: Given 5z2/11z1 is purely imaginary Let us take 5z2/11z1 = iy z2/z1 = 11iy/5 |(2z1+3z2)/(2z1-3z2) = z1(2+3z2/z1)/z1(2-3z2/z1) = (2+3(11iy/5))/(2-3(11iy/3))... View Article
The Conjugate Of The Complex Number 1 I 2 1 I Is
Solution: (1+i)2/(1-i) = (1+i)2(1+i)/(1-i)(1+i) = (1+2i-1)(1+i)/(1–1) = 2i(1+i)/2 = (2i-2)/2 = (-1+i) Conjugate is -1-i. Hence option (4) is the... View Article
The Amplitude Of Sin Pi 5 I 1 Cos Pi 5 Is
The amplitude of sin π/5 + i (1-cos π/5) is (1) 2π/5 (2) π/15 (3) π/10 (4) π/5 Solution: Given... View Article
If X Iy Aib C+Id Then X 2 Y 2 Is Equal To
Solution: Given x+iy = √((a+ib)/(c+id))…(1) Taking conjugate on both sides x-iy = √((a-ib)/(c-id)) ..(2) Multiply (1) and (2) (x+iy )(x-iy)... View Article
The Modulus Of 1 I 3 I 4i 5 Is
Solution: (1-i)/(3+i) +(4i/5) = (5-5i+12i-4)/(3+i)5 = (1+7i)/(3+i)5 Multiply numerator and denominator with (3-i) = (1+7i)(3-i)/(3+i)5(3-i) = (3+21i-i+7)/5(9–1) = (10+20i)/5(10) =... View Article
The Solution Of Equation Z Z Equal 1 Plus 2i Is
Solution: Given |Z| – Z = 1 + 2i |Z| = Z +1 + 2i Take Z = x+iy |Z|... View Article
For Any Complex Number Z The Minimum Value Of Z Plus Z 1 Is
Solution: |Z| + |Z – 1| = |Z| + |-(1-Z )| = |Z| + |1-Z | (since |Z| = |-Z|... View Article
If Z 4 By Z Equal 2 Then The Maximum Value Of Z Is
Solution: For any two complex numbers a and b ||a|| ≤|a-b| ||z| -|4/|z| |≤ | z-4/z| => |z| -4/|z| ≤... View Article
Let Z And Omega Be Two Non Zero Complex Numbers Such That Z Equal And Arg Z Arg Omega Equal Pi Then Z Equals
Let z and ω be two non zero complex numbers such that |z| = |ω| and Arg z +Arg ω... View Article
If Z1 Equal Root 2 Cos Pi By 4 I Sin Pi By 4 Z2 Equal Root 3cos Pi By 3 Plus I Sin Pi By 3 Then Z1z2 Is Equal To
Solution: Given z1 = √2(cos π/4 + i sin π/4) z2 = √3(cos π/3 + i sin π/3) |z1| =... View Article
If The Conjugate Of X Plus Iy 1 2i Is 1 I Then
Solution: Given conjugate of (x + iy)(1-2i) is 1 + i. Conjugate of (x + iy)(1-2i) => (x-iy)(1+2i) = 1+i... View Article
If Z1 And Z2 Are Two Complex Numbers Such That Z1 Equal Z2 Plus Z1 Z2 Then
Solution: Given |z1| = |z2| + |z1 – z2| |z1| – |z2| = |z1 – z2| Squaring both sides (|z1|... View Article
Convert I 1 Cos Pi 4 I Sin Pi 4 In Polar Form
Convert (i+1)/(cos (π/4)-i sin (π/4) in polar form (1) cos (π/4)+i sin (π/4) (2) cos (π/2)-i sin (π/2)) (3) √2(cos... View Article
If Z Is A Complex Number Such That Re Z Im Z Then
Solution: Let z = x+iy Given Re(z) = Im (z) => x = y z2 = (x+iy)2 = x2+2ixy-y2 =... View Article
If 1 I 2 2 I X Iy Then X Y Is Equal To
Solution: Given (1+i)2/(2-i) = x+iy (1+i)2/(2-i) = (1+i)2(2+i)/(2-i)(2+i) = (1+2i-1)(2+i)/(4–1) = 2i(2+i)/5 =( 4i-2)/5 = (-2+4i)/5 x = -2/5 y... View Article
If Z X Iy And Z 1 3 P Iq Then X P Y Q P 2 Q 2 Is Equal To
Solution: z = x-iy z1/3 = p + iq x-iy = (p3-3pq2)+i(3p2q-q3) Comparing we get x = p3-3pq2 and y... View Article
