Electricity and Magnetism Answers

Using guass theorem calculate the flux of the vector field A =x³i+x²zj+yzk through the square of a cube of a side 2 unit's

In your electricity and magnetism lab, suppose you were enthusiastic to apply what you learned about Faraday’s work and electromagnetic Induction. You decided to uniformly charge the surface of a sphere of radius R with chare Q. Then you let the sphere to revolve around the vertical axis with rotation velocity ω. With some calculations you figured out that the magnetic field of such system should be as follows: Inside the sphere, 𝑩⃗⃗ 𝒊𝒏 = 𝟐 𝝁𝟎 𝝎 𝑸 𝟏𝟒 𝝅 𝑹 𝒆⃗ 𝒛 , and Outside the sphere, 𝑩⃗⃗ 𝒐𝒖𝒕 = 𝟐 𝝁𝟎 𝝎 𝑸 𝑅 2 𝟏𝟒 𝝅 [𝟐 𝒄𝒐𝒔(𝜽)𝒆⃗ 𝒓 + 𝒔𝒊𝒏(𝜽)𝒆⃗ 𝜽] 1 If the angular velocity is constant of time, figure out a formula for Faraday induced E field at the surface of the sphere. 2 Find out the torque of the charged sphere. 3 Find out the energy stored inside the magnetic field of the system. 4 Prove that 2/3 of the stored energy lies within the sphere 5 Express the total magnetic field as 0.5 Imag ω2. 6 Find out the angular momentum in the fields. 

three point charges are arranged along the x-axis. charge q1= -4.50 nC is located at x =0.200 m, and charge q2= +2.50 nC is at x= -0.300m. a positive point charge q3 is located at the origin. (a) what must the value of q3 be for the net force on this point charge to have magnitude 4.00 un? (b) what is the direction of the net force on q3? (c) where along the x axis can q3 be placed and the net force on the zero, other than the trivial answers of x= +infinity and x= -infinity

A solenoid is being constructed to yield a uniform 1T magnetic field from its center. A long wire is used to make 300 turns around this conductor. If the solenoid has to be 60cm long and 6cm in diameter, determine the electric current needed to produce the given magnetic field. 

A toroidal solenoid has 3000 turns and a radius of 2cm with a current of 5A flowing through it. Determine the magnitude of the magnetic field. 

What is The number of molecules in one mole of a substance ? 

The following equation of state P V = nRT , represents ? 

What does Mmol represent in the equation n = M/Mmol ? 

For a fixed amount of gas, if the absolute temperature of the gas is doubled, what happens to the pressure of the gas?

Which contains more moles of material: 80 grams of Helium gas (He, having atomic weight 4.0 g/mol) or 400 grams of Argon gas (Ar, having atomic weight 40 g/mol)?

Gallium boils at 2205◦ C. What is the corresponding temperature in the Fahrenheit and Kelvin scales?

If a certain sample of an ideal gas has a temperature of 109◦ C and exerts a pressure of 1.2×104Pa on the walls of its container, how many gas molecules are present in each cubic centimeter of volume?