-1 points CJ10 23 P016. My Notes Ask Your Teacher Two inductors are connected in

Question

-1 points CJ10 23 P016. My Notes Ask Your Teacher Two inductors are connected in parallel across the terminals of a generator. One has an inductance of L 0.045 H, while the other has an inductance of L2- 0.065 H. A single inductor, with an inductance L, is connected across the terminals of a second generator that has the same frequency and voltage as the first one. The current delivered by the second generator is equal to the total current delivered by the first generator. Find L. Show My Work (opt onal 0/1 points Previous Answers CJ10 23.P.031 My Notes Ask Your Teacher A series RCL circuit has a resonant frequency of 800 kHz. If the value of the capacitance is 2.80 x 10-9 F, what is the value of the inductance? 57.85 x H Show My Work (optional

Explanation / Answer

net Inductance in parallel

1/L = 1/L1 +1/L2

1/L = 1/0.045 + 1/0.065

L = 0.0265 Henry

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inductive Reactance Xl = wL = 2pif L

Capacitive reactance Xc = wC = 1/2pif C

here f = 800000 Hz

so at resonance Wo^2 = 1/LC

(2pif)^2 = 1/LC

(2*3.14* 800000)^2 = 1 /(2.8*10^-9 * L)

L = 1.41*10^-5 or 14.14 uH

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