An rlc series circuit has a 2.60 ω resistor, a 120 µh inductor, and an 88.0 µf capacitor. (a) find the power factor at f = 120 hz. 0.067 correct: your answer is correct. (b) what is the phase angle (in degrees) at 120 hz? 3.29 incorrect: your answer is incorrect. °

Explanation:

It is given that,

Resistance of the resistor, R = 2.6 ohms

Inductance,

Capacitance,

Frequency, f = 120 Hz

(a) The power factor of the series RLC circuit is given by :

Z is the impedance of the LCR circuit.

Z is given by :

Z = 15.204 ohms

The power factor is given by :

P = 0.171

The power factor of the series LCR series circuit is 0.171

(b) The phase angle is given by :

Hence, this is the required solution.

given data:

determine the horse power (h.p) = ?

force applied to move the box(f) = 10 pounds,

box lifted from a distance         (d) = 3 feet

time taken to lift                         (t) = 10 sec,

the horse power is defined as amount of work required to move a load. the horse power is equal to 550 foot-pound per second

                  1 h.p   = 550 foot-pound/second

it can also be defined as the the load that need to be move a body for certain distance in a certain amount of time.

mathematically,

                      h.p = (force × distance)/ time

                            = (10 × 3)/ 10

                            = 30/10

                            = 3 foot -pound/sec

hence, the horse power is needed to move the box is 3 foot-pound/second

important note: 1 h.p = 550 foot-pound/second = 746 watts

answera compound;