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An electic circuit consists of the following components:

-resistor R1 and R2 connected in series, and

-resistor R3 connected in parallel with R2.

If R1 =R3kohms, R2=3.5komhs,and R3=9kohms.

1.draw the circuit diagram.

2.calculate the voltage across R3 if the applied voltage is 12V.

3.calculate the current passing R1 and R3.


Two point charges, QA = +18 μC and QB= -5 μC, are separated by a distance r= 10 cm. What is the magnitude of the electric force. The constant k= 8.988 x 109 Nm2C


A wind power system costs €6000 to install it saves€250 each year

Calculate the payback time




The sine wave represents Voltage Eab across the terminal a, b of an AC motor that operates at 50 Hz. Knowing that 0=30 and Em = 100V, find the voltage at t=0 and t= 27.144 S.


Simplify the following Boolean algebraic expression and draw a circuit diagram of the circuit for each simplified expression using AND and OR gates.


  • A.B'.C'+A'.B'.C'+A'.B.C'+A'.B'.C

Write the Boolean expression (in Sum of Products form) for the logic circuit that will have a 1 output when A = 0, B = 0, C = 1 and A = 1, B= 1, C= 0, and a zero (0) output for all other input states. Draw the logic diagram for this circuit. 


Three identical bulbs are connected to a cell in series. Which bulb has the largest current through it?


Three bulbs are connected in series circuit. The circuit has a voltage of 12V. What is the voltage across each bulb?


Write the Boolean expression (in Sum of Products form) for the logic circuit that will have a 1 output when A = 0, B = 0, C = 1 and A = 1, B= 1, C= 0, and a zero (0) output for all other input states. Draw the logic diagram for this circuit. 


find the voltage at point c in the following circuit. the voltage drop Vcd is 3.5 V.