(a) Compute the reactance of a 0.450-H inductor at frequencies of 60.0 Hz and 600...
(a) Compute the reactance of a 0.450-H inductor at frequencies of 60.0 Hz and 600 Hz. (b) Compute the reactance of a capacitor at the same frequencies. (c) At what frequency is the reactance of a 0.450-H inductor equal to that of a capacitor?
Answer & Explanation
The inductance of the coil is .
(a) For ac source connected with a coil, the inductance reactance in the circuit is given by equation 31.12 in the form
This inductance reactance is related to the frequency f and the inductance L of the coil. Now, we want to get at and 600 Hz.
(b) The capacitance of the capacitor is . The capacitive reactance in the circuit is given by equation 31.18 in the form
Now, we calcaute or 60 Hz and 600 Hz as next
(c) In this part, the two reactance are the same but at a specific frequency f. We are asked to determine the value of this frequency.
Now plug the values for LL and CC into equation (3) to get f