An engineer has a 37.0 µh inductor, a 37.0 µf capacitor, and a variable frequency ac source. determine the source frequency (in khz) at which the inductor and capacitor have the same reactance.

Frequency will be 4.30 kHz

Explanation:

We have inductance

And capacitance

Inductive reactance is given by

And capacitive reactance

As in question it is given that inductive reactance and capacitive reactance is same

So

We know that angular frequency

f = 4303.66 Hz =4.30 kHz

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s

i already answered it by 34/s