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## The voltage v(t) 5 359.3 cos(vt) volts is applied to a load consisting of a 10- resistor in parallel with a capacitive reactance XC 5 25 Ω.

Question

The voltage v(t) 5 359.3 cos(vt) volts is applied to a load consisting of a 10- resistor in parallel with a capacitive reactance XC 5 25 Ω. Calculate (a) the instantaneous power absorbed by the resistor, (b) the instantaneous power absorbed by the capacitor, (c) the real power absorbed by the resistor, (d) the reactive power delivered by the capacitor, and (e) the load power factor.

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Physics
6 months
2021-07-15T22:42:44+00:00
2021-07-15T22:42:44+00:00 1 Answers
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## Answers ( )

Answer:(a). The instantaneous power absorbed by the resistor is

(b). The instantaneous power absorbed by the capacitor is

(c). The real power absorbed by the resistor is 6454.82 watts.

(d). The real power absorbed by the capacitor is 2581.92 watts.

(e) The load factor is 2.5

Explanation:Given that,Voltage

Resistor = 10 Ω

Capacitive reactance = 25 Ω

We need to calculate the current by the resistanceUsing formula of currentPut the value into the formula

We need to calculate the current by the capacitanceUsing formula of currentPut the value into the formula

(a). We need to calculate the instantaneous power absorbed by the resistorUsing formula of powerPut the value into the formula

….(I)

(b). We need to calculate the instantaneous power absorbed by the capacitorUsing formula of power….(II)

(c). We need to find the real power absorbed by the resistorUsing equation (I)The real power absorbed by the resistor is 6454.82 watts.

(d). We need to find the real power absorbed by the capacitorUsing equation (II)The real power absorbed by the capacitor is 2581.92 watts.

(e). We need to calculate the load factorUsing formula of load factorPut the value into the formula

Hence, (a). The instantaneous power absorbed by the resistor is(b). The instantaneous power absorbed by the capacitor is(c). The real power absorbed by the resistor is 6454.82 watts.(d). The real power absorbed by the capacitor is 2581.92 watts.(e) The load factor is 2.5