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A 250V, 50Hz supply feeds the following loads (a) incandescent lamps taking a current of 6.5A at the unity power factor (b) flourescent lamps taking a current of 8A at the power factor of 0.9 leading; and (c) a motor taking a current of 15A at a lagging power factor of 0.625.
Determine:
i) the total current drawn from supply and the overall power factor
ii) the value of the power factor correction capacitor required to improve the overall power factor to unity. Provide circuit diagrams where possible.
A juggler throws a ball with an initial horizontal velocity of +1.1 m/s and an initial vertical velocity of +5.7 m/s. What is its acceleration at the top of its flight path? Make sure to consider the sign when responding. Consider the upward direction as positive.
Two plane sheets of charge densities +6 and -6 are kept in air. What are electric field at point A and B?
When a negatively charged particle is placed in electric field, how much it will accelerate experience force? Also find distance in x and y direction?
How does an electromechanical energy conversion work in a motor and a generator?
What is the current through resistor 2,when the circuit is a square, and the rest of the sides have resistances of 3.
A digital clock has a resistance of 1.00 x 10^4 W and is plugged into a 110.0-V outlet. If the owner pays $0.05 per kWh, how much does it cost to operate the clock for 30.0 days?
A voltage signal generated by a sensor conditioning circuit varies from -0.5V to +0.5V . The signal from the sensor is to be connected to the analog to digital converter which only accepts positive voltage. Design an op-amp circuit to amplify the signal 10 times and shift the signal to the positive range. The output signal after amplification and shifting should fluctuate between 0 V to 10 V. Simulate your design using Multisim spice simulator and show that your design meets all the requirements. Take note that the final output signal should not be inverted. Your type written answer should contain

i) Circuit schematics that show the complete circuit and its resistor value.
ii) Plot showing input and output voltage of your circuit. Assume sinusoidal input signal with peak to peak voltage of 1 V.
iii) Explain how the circuit works and show all calculation steps.
iv) List all components used together with its product code and price. Information on practical components should be obtained from Analog Devices, Farnell or RS website.
The voltage adapter of a cell phone charger reduces the wall outlet voltage to 5.2 and 1.0 Amps. how much charge passes through the cell phone while it charges for forty minutes?
A variable voltage supply was connected in a series circuit with a 10 ohm resistor and an incandescent bulb.
Assume that the incandenscent bulb has a linear relationship between its measured voltage and current (i.e. Ohm's Law: V=IR).

Table: Measured current and voltage across a light bulb.
Voltage (V): 1 ; 3.5 ; 5.6 ; 7.2 ; 9 ; 10.5
Current (mA): 60 ; 275 ; 450 ; 550 ; 640 ; 820

1. Draw a graph to represent this data. Calculate the slope of this graph, and use this value to determine the resistance of the globe.

2. Describe an alternative method (that doesn't use a graph) to analyse the measured voltage and current data to determine the resistance of the globe. Use this method and compare its result to the value calculated using the graph technique.

3. The globe has a maximum allowable voltage of 12V. The variable voltage is adjusted so that 12V is measured across the globe. Predict and briefly justify what the corresponding current measurement would be.
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