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A transformer has 500 primary turns and 200 secondary turns. The primary and secondary resistances
are 0.3Ω and 0.02Ω respectively and the corresponding leakage reactance are 2Ω and 0.05Ω
respectively. Determine:
(a) the equivalent resistance and reactance referred to the primary side
(b) the equivalent resistance and reactance referred to the primary side, impedance summed
(c) the output power factor
(d) draw the equivalent circuit referred to the primary side, impedance summed
(e) input and output apparent power
Two points charges are placed on the x-axis: a – 6 µC charge at x = 0 and a + 5µC charge at x = 200 cm. At
what point(s) in the vicinity of these two charges can a + 5- µC charge be placed to that it experiences no
resultant force?

A magnetic circuit consists of a cast steel yoke which has a cross-sectional area of 200 mm2 and a mean length of 120 mm. There are two air gaps, each 0.2 mm long. Calculate the mmf required to produce a flux of 0.5 mWb in the air gaps and the value of the relative permeability of cast steel at this flux density. The magnetization curve for cast steel is given by the following:

B (T) 0.1 0.2 0.3 0.4

H (A/m) 170 300 380 460


A magnetic circuit consists of a cast steel yoke which has a cross-sectional area of 200 mm2 and a mean
length of 120 mm. There are two air gaps, each 0.2 mm long. Calculate the mmf required to produce a
flux of 0.5 mWb in the air gaps and the value of the relative permeability of cast steel at this flux
density. The magnetization curve for cast steel is given by the following:
B (T) 0.1 0.2 0.3 0.4
H (A/m) 170 300 380 460

A magnetic circuit consists of a cast steel yoke which has a cross-sectional area of 200 mm2 and a mean length of 120 mm. There are two air gaps, each 0.2 mm long. Calculate the mmf required to produce a

flux of 0.5 mWb in the air gaps and the value of the relative permeability of cast steel at this flux density. The magnetization curve for cast steel is given by the following:

B (T) 0.1 0.2 0.3 0.4

H (A/m) 170 300 380 460


A three–phase transformer has its primary winding delta-connected and its secondary winding starconnected. The number of turns per phase on the primary is four times that on a secondary, and the secondary line voltage is 400V. A balanced load of 20kW, at power factor 0.8, is connected across the secondary terminals. Assuming an ideal transformer, calculate the primary voltage and the phase and line currents on the secondary and primary sides. Sketch a circuit diagram and indicate the values of the voltages and currents on the diagram.


An electron moves with a speed of 8.0 x 106 m/s along the +x-axis. It enters a region where there is a magnetic field of 2.5 T, directed at an angle of 60° to the +x-axis and lying in the r plane. (1 ev-1.60 x 10-19 C, mel = 9.11x 10-31 kg) Calculate the magnitude of (a) the magnetic force on the electron (b) the acceleration of the electron.

4.

A.

The diagram at right shows two charged objects that are separated by a distance L. Object #1 bears a

charge +7Q and object #2 a charge of ‒4Q. A point in space, P, is located a distance y directly above object

#2.

Write an expression for the y-component of the net electric field at point P. (xmm)

B. Write an expression for the net electric potential at point P.

C. Rederive your expression for the y-component of the electric field from part A, this time by taking the negative gradient of the electric potential expression you derived in part B. Note: little credit will be awarded for an answer that is not fully explained.


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