**Assignment Task**

**Task**

**Q1)** Three resistors of 1k?, 100? and 330? are connected in series across a voltage source (battery). If the power dissipated in the 100? resistor is 100 mW, calculate the voltage drop across each resistor and the total voltage that must be applied to the series circuit.

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Get Help Now!**Q2)** Three resistors of 10?, 100? and 1k? are connected in parallel across a battery. If the power dissipated in the 10? resistor is 10W, calculate the currents flowing in each of the three resistors and the total current flowing from the battery.

**Q3)** A LED torch normally draws a current of 50 mA when connected to a 9 V battery. Calculate the value of a resistor placed in series with the bulb so that when the bulb and resistor are connected to a 12 V battery the bulb still draws a current of 50 mA.

**Q4) **Determine the current following through all of the resistors in figures Q1 using the branch current method.

**Q5) **Determine the currents flowing through all of the resistors in Figure Q2 using the branch current method.

**Q6) **Use the results from Problem 5 to calculate the value of the potential difference between A and B in Figure Q2.

**Q7)** In an AC circuit the voltage can be described using a sine wave with the equation:

v = 339•sin(120?t+1) [V]

**a)** What is the frequency?

**b) **What is the amplitude?

**c)** What is the relative phase?

**d) **What is the value of v when t = 20 seconds?

**e) **If this voltage is applied to a resistance of 100 ?, what would be the equation for the instantaneous current?

**Q8) **In an AC circuit a sinusoidal voltage with peak amplitude of 250 volts is applied to a resistance with a value of 250 ?. What is the value of the power dissipated in the resistor?

**Q9) **

**a)** An alternating voltage is represented by v=50•sin(3142•t) [V]

Calculate the r.m.s. value of the wave, its frequency and periodic time.

**b) **The domestic mains supply has an r.m.s. value of 240V at a frequency of 50Hz. Write down an expression for this wave, and find the amplitude of the voltage at the instant when t=0.006s.

**Q10)**

**a)** Calculate the frequency of an alternating waveform that has a period (periodic time) of 20 ?s.

**b)** Find the peak to peak value of a sinusoidal voltage of 20 Volts r.m.s.

**c) **Find the peak value of a peak to peak sinusoidal voltage of 330 Volts.

**d)** Calculate the phase angle (in degrees) between a 50 Hz sinusoidal waveform and another 50 Hz sinusoidal waveform which reaches its peak 5 ms later.

**e)** A sinusoidal waveform of 10 Volts r.m.s passes through a voltage +10 Volts, 300 times in 3 seconds. Find its frequency.

**f) **A sinusoidal waveform reaches a maximum positive voltage of 30 Volts. Determine its r.m.s voltage.

**Q11)** A battery is connected across a coil of 400 turns and a resistance of 400 ?, with an iron core 0.4 m long.

**(a)** How much battery voltage is needed for 100 A.t?

**(b) **Calculate H in the iron core in Ampere-turns per meter.

**(c) **Calculate B in teslas in the iron core if its ?r is 250.

**(d) **Calculate ? in webers at each pole with an area of 10-3 m2.

**(e) **How much is the reluctance ? of the iron core, in ampere-turns per weber?

**Q12)**

**(a)** A 100 ?F capacitor charges to a voltage of 9 V. How much charge is stored in the capacitor?

**(b) **If capacitors of 100 ?F and 50 ?F were connected in parallel and stored 1C of charge totally, what is the voltage across the capacitors?

**Q13)** A 100 ?F capacitor charges to 20 V in 5 seconds when connected to a constant current source. Determine the current delivered by the current source.

**Q14)**

**a)** Calculate the capacitance of a capacitor which exhibits a capacitive reactance of 1000 ? at 1 MHz.

**b)** Find the largest preferred value capacitor which has a capacitive reactance of less than 50 ? at 50 Hz.

**Q15)** A capacitor of 1 ?F is connected in parallel with a resistor of 1 k? and connected to a 50 Hz (sinusoidal) alternating voltage supply. The voltage measured across the resistor is 10 V. Calculate:

- The current through the capacitor.
- The impedance of the circuit.
- The current drawn from the supply.
- The phase angle of the circuit.

**Q16)** For the circuit shown in Figure Q3:

**a)** Calculate the potential difference across the terminals of the capacitor 100 ms after the switch is closed.

**b) **Calculate the current flowing into the capacitor 100 ms after the switch is closed.

**c) **Calculate the time, following the closure of the switch, taken for the capacitor to attain a potential across its terminals of 15 V.

**Q17)**

**a)** The current in an inductor changes from 200 mA to 400 mA in 0.4 seconds. If the value of the inductance is 250 mH, what is the value of the induced voltage?

**b)** If, for the same inductor, the current changes from 400 mA back to 200 mA in 0.8 seconds, what is the induced voltage?

**Q18)** A transformer has 500 turns in the primary and 125 turns in the secondary. If the primary voltage is 250 V:

**a) **What is the secondary voltage?

**b) **If the secondary is connected to a load resistor of 100 ?, what is the secondary current?

**c) **Assuming no losses, what is the primary current?

**d)** What is the primary impedance?

**Q19)** For the circuit shown in Figure Q4 below.

**a) **Calculate the value of the inductance to give resonance at 10kHz.

**b) **At resonance calculate I, VR, VL, VC and Q

**Q20)**

**1. **12.1 An RC low-pass filter has a resistor of 100 k? in series with a capacitor of 100 nF. Which of the following gives the closest value of the cut-off frequency?

**a)** 650 kHz **b)** 16 kHz **c) **16 Hz **d) **25 Hz

**2.** An RL high-pass filter has a resistor of 1 k? in series with an inductor of 50 uH. Which of the following gives the closest value of the cut-off frequency?

**a)** 32 MHz **b)** 100 kHz **c) **200 MHz **d)** 25 kHz

**3. **An RC notch filter has R1 with a value of 10 k? and C1 with a value of 0.01 ?F. Which of the following gives the closest value of the notch frequency?

**a)** 8 Hz **b) **0.8 Hz **c)** 80 kHz **d)** 800 Hz

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