Complete working with full explanations where necessary from tasks 1 to 15
Task 9
Figure 1
For the circuit in figure 1 calculate:
The currents flowing through R1 and R2
The current through RL
The p.d. developed across RL
The power dissipated by RL
Task 9 requirements
You are to include a circuit diagram in your answer to identify the loops you are using, also identify on the circuit diagram the direction of current flow for each loop, then reference the relevant equation to each loop.
You should number each equation in turn and fully explain (workings out) your progress through from simultaneous equations to your solution.
Task 10
Figure 2
An inductor having an inductance of 5.21 uH and resistance 1.5 Ω is connected in series with a 22 nF capacitor across a 200 mV variable frequency supply. Determine
the frequency at which resonance occurs
the circuit Q factor
the capacitor p.d. at resonance
the circuit current
the bandwidth of the circuit
Task 10 requirements
You are to identify each equation you are using to solve the problem, then insert the values and finally show the solution. Include the suffix values (10-3, 10-6 etc.) in all your calculations and show all your units.
Task 11
Figure 3
The circuit in figure 3 dissipates 162.5 W. Calculate
the circuit current
the p.d. across the coil
the p.d. across the capacitor
the phase angle
power factor of the circuit
Task 11 requirements
As for question 2 plus the question asks for the coil voltage. Take care when answering this part and fully explain the meaning of the term ‘coil voltage’.
Task 12
An inductive load consisting of an inductance of 191 mH in series with a 20 W resistor is connected across a 240 V, 50 Hz supply. Calculate:
the circuit current
the power factor
the power supplied by the power supply
the power dissipated by the circuit
the power factor correction capacitor needed to increase the power factor to 0.96.
Task 12 requirements
In QN4 the preceding calculations will generally be used in subsequent parts. For all parts, show your complete working with full explanations where necessary.
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