7· Two 250- F capacitors and a 1.5-mH inductor are connected as shown in the fig

Question

7· Two 250- F capacitors and a 1.5-mH inductor are connected as shown in the figure. It is desired to "drive" the circuit by placing an ac generator in series with the the following generator output voltages will produce Assume that V is in volts when t is in seconds. inductor. Which one of the largest current in the above circuit? A) I, 0.6 sin [(1.1 × 10° radis) f] B) V0.6 sin [( 1.2 x 103 rad/s) 1] C) V.. 1.2 sin [(5.3 × 106 rad/s) I] D) V= 1.2 sin [(2.3 × 105 rad/s) t] E) V-2.8 sin [(4.6 × 106 rad/s) 1] 8. In the circuit shown in the drawing, the generafor supplies the same amount of rmts curent a either very small or very large frequencies. What can be deduced about the resistances Ri, R2, and Rs from this information? A) R1=R2= R3 B) R1=2R2 C) R1=R2 D) R1=R3 E) R2=R3 3

Explanation / Answer

7. The total capacitance is given as

C = 250 uF + 250 uF = 500 uF

L = 1.5 mH

w = 1 / sqrt (L*c)

w = 1 / sqrt ( 500e-6 * 1.5e-3)

w = 1.2e-3 rad/s

option B is correct.

8. This is possible as inductive reactance is “directly proportional to frequency” and has a small value at low frequencies and a high value at higher frequencies. This is possible when R1 = R3.

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