In the following circuit the sinusoidal source voltage phasor is V. = 1414.2/0 V with frequency...

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In the following circuit the sinusoidal source voltage phasor is V. = 1414.2/0° V with frequency f = 50 Hz. The source delivers 8 kW of power to a load with lagging power factor of 75%. V 6-0 Load C (a) Assume initially the capacitor is not connected to the circuit. The load is modelled as an RL series circuit, i.e. a resistor R and inductor L connected in series. Find i. The power angle in degrees ii. The rms phasor current Irms, (i.e., phasor I but with magnitude in Irms) iii. The load impedance Zload iv. The reactive power Q of the load v. The values of the resistor R and the inductor L. 5 (b) Now assume that the capacitor is connected to the circuit. i. Find the capacitor value C that will yield a power factor of 100 %. ii. Find the range of capacitor values that will yield a power factor of 90 % or more. HINT: Recall that cos(0) = cos(-0), and hence, the power factor between 90-100% can be the result of an overall inductive or capacitive load (overall, meaning, include the original Load and C). For example, it is possible that the correction capacitance over-corrects and results in an overall impedance (seen by the source) that is capacitive in nature. In the following circuit the sinusoidal source voltage phasor is V. = 1414.2/0° V with frequency f = 50 Hz. The source delivers 8 kW of power to a load with lagging power factor of 75%. V 6-0 Load C (a) Assume initially the capacitor is not connected to the circuit. The load is modelled as an RL series circuit, i.e. a resistor R and inductor L connected in series. Find i. The power angle in degrees ii. The rms phasor current Irms, (i.e., phasor I but with magnitude in Irms) iii. The load impedance Zload iv. The reactive power Q of the load v. The values of the resistor R and the inductor L. 5 (b) Now assume that the capacitor is connected to the circuit. i. Find the capacitor value C that will yield a power factor of 100 %. ii. Find the range of capacitor values that will yield a power factor of 90 % or more. HINT: Recall that cos(0) = cos(-0), and hence, the power factor between 90-100% can be the result of an overall inductive or capacitive load (overall, meaning, include the original Load and C). For example, it is possible that the correction capacitance over-corrects and results in an overall impedance (seen by the source) that is capacitive in nature.

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a Assume initially the capacitor is not connected to the circuit The load is modelled as an RL series circuit ie a resistor R and inductor L connected in series i The power angle in degrees The power ... View the full answer