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What Is The Physical Significance Of Dielectric Constant

The dielectric constant is an important property in dielectric materials, the constant is responsible for capacitance. Dielectric Constant... View Article

Which Law Relates Acceleration To Mass

Newton’s second law of motion relates acceleration to mass. The second law of motion states that the acceleration of an object is directly... View Article

Is Water A Transverse Wave

Water waves are a combination of both longitudinal and transverse motions. The particles travel in clockwise circles as the wave travels through... View Article

What Is Absolute Potential Energy

Absolute potential energy is defined as the amount of work that needs to be done to bring an object to its current location from a point of... View Article

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 of energy such as gravitational... View Article

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 transistor is an NPN or a PNP by the following... 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. Transistors are mainly... 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 =... 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) =... 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)... 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 sin (π/5)+i(1-cos (π/5) =... 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)... 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)... 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| = √(x2+y2) Z +1 + 2i = x+iy+1 + 2i = (x+1)+i(y+2) since |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| |Z| + |1-Z | ≥ |Z+1-Z| |Z| + |1-Z | ≥ 1 |Z| + |-(Z-1) |... 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| ≤ 2 Set |z| = r > 0,... 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 = π, then z equals (1) ω (2) -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| = √[(√2 cos... 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 (x-iy) = (1+i)/(1+2i) Multiply... 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| - |z2|)2= |z1 - z2|2 |z1|2 +|z2|2-2|z1 ||z2| =... View Article

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