A delta connected load has a parallel combination of resistance 5Ω and capacitive reactance –j5Ω in each phase. If a balanced three phase 400V supply is applied between lines, find the phase currents and line currents and draw the phasor diagram

A workshop with well-insulated walls and containing 450 m³ of air at 305 K is heated at constant pressure (atmospheric). Consider air to be an ideal diatomic gas.

(a)Determine the energy (in kJ) required to increase the temperature of the air in the building by 2.90°C.

How does the amount of heat required depend on the molar specific heat at constant pressure and the desired change in temperature? What is the value for the molar specific heat at constant pressure? How can you determine the number of moles of the gas? kJ

(b)Determine the mass (in kg) this amount of energy could lift through a height 3.10 m.

Explain the difference between Ekman and Sverdrup transport. How to diagram how these work in conjunction with zonal wind stress.

Show by derivatives that two phases are in thermal equilibrium only if their temperatures are the same. Show that two phases are in mechanical equilibrium only if their pressures are equal.   

A coaxial cable consists of two long concentric conducting tubes of length l, the inner one of radius a and the outer one of radius b. Assume that the zˆ direction lies along the axis of the cable. A current, I, flows down the inner conductor in the zˆ direction and returns in the outer conductor, where in each case the current is uniformly spread out over the surface.
(a) Determine the magnetic field B everywhere. [5]
(b) Find the self-inductance per unit length. [5]

In a cathode ray tube, electrons are accelerated from rest by a constant electric force of magnitude 6.40 × 10⁻¹⁷ N during the first 4.40 cm of the tube’s length; then they move at essentially constant velocity another 45.0 cm before hitting the screen.

a.How long does it take them to travel the length of the tube?

b.Find the speed of the electrons when they hit the screen.

c.How long does it take them to travel the length of the tube?

Summarize this experiment of pendulum from purpose to procedure to analysis.
Within your answer, include the theoretical equations.

Two protons, each having a speed of 0.910c in the laboratory, are moving toward each other.

a) Determine the momentum of each proton in the laboratory in GeV/c.

b) Determine the total momentum of the two protons in the laboratory GeV/c.

c) Determine the momentum of one proton as seen by the other proton GeV/c.

What is the difference between the root-mean-squared velocity (????) and the average velocity (?̅) of gas particles?

A regular icosahedron, as shown in the figure, has an outer radius (defined as the distance from the centre to a vertex) of 9.51 cm and an inner radius (defined as the distance from the centre to the centre of a face) of 7.56 cm. It has 20 faces which are equilateral triangles with side length 10.0 cm, and 12 vertices.
Twelve negative charges of magnitude 20.0 μC are placed at the vertices and 20 positive charges of magnitude 12.0 μC are placed at the face centres. A positive charge of Q = +44.25 μC is placed at the centre of the icosahedron.

1. What is the force acting on the charge at the centre of the icosahedron? [1]

2. If one of the negative charges at a vertex is removed, what is the force on the charge at the centre of the icosahedron? [2]

3. If one of the positive charges at the face is removed, what is the force on the charge at the centre of the icosahedron? [2]

4. Using your answers to parts ii) and iii) what is the net force on the charge Q at the centre if a complete face (i.e. one positive charge and the three surrounding negative charges), is removed? [5]

Protons having a kinetic energy of 5.00 MeV (1 eV = 1.60 x 10-19 J) are moving in the positive x direction and enter a magnetic field B = 0.025 T directed out of the plane of the page and extending from x = 0 to x = 1.00 m as shown in the Figure below. (a) Ignoring relativistic effects, find the angle α between the initial velocity vector of the proton beam and the velocity vector after the beam emerges from the field. (b) Calculate the y component of the protons’ momenta as they leave the magnetic field.

When we say that momentum is conserved for an isolated system, what specifically does that mean?

The photogates in the experiment are used to determine the speed of the gliders passing through. The photogates measure the time it takes for the photogate beam to go from being unblocked to blocked to unblocked again. You tell the photogate how long your glider is, and the speed is then calculated.

Given the description of what the photogates do, how will you determine the velocity of the glider?

A 7.50-kg box slides up a 25.0o ramp with an initial speed of 7.50 m/s. The coefficient of kinetic friction between the box and ramp is 0.333. You wish to calculate the distance the box will move up the ramp before coming to a stop using mechanical-energy (NOT force-motion or the work-kinetic energy.)

a. Write the correct equation for solving the problem, and then fully justify its use. (Start by identifying the objects in the system [only the required objects] and then proceeding as in class.)

b. Beginning with the equation in (a), calculate the desired distance.

c. Calculate the change in the thermal energy of the system as the box moves from the bottom of the ramp to where it stops.