LRC Circuits The next three questions pertain to the situation described below.

Question

LRC Circuits

The next three questions pertain to the situation described below. The series LRC circuit is driven by a voltage from the antenna W antenna recieving a signal at 915 MHz with peak voltage of 0.0085 Volts. The remaining circuit elements have the following values: R-3.8 2, L 2 x 10 H and the capacitance is adjustable. 915 MHz radio waves 13) What value of capacitance will provide the largest peak current in the circuit? a. C 1.74 x -10 F 10 b. c 1.51 x 10 F c. C 2 x 10-9 F 14) Assuming the above capacitance, what is the peak value of the voltage across the inductor? a. V 0.0257 v max b. V 0.0085 V L max c. V L max 0.00601 v 15) If you are traveling toward the radio station at 30 m/s the radio waves will be shifted to a slightly a. lower frequency. b. lower wavelength

Explanation / Answer

the peak current will be maximum in case of resonance:

resonance angular frequency = (LC)-0.5

so the capacitance value is = 1/((2*pi*915*106)2*2*10-9) = 1.5*10-11 F

peak current = V/R =0.0085/3.8 A

voltage across the inductor = wL*I = 0.0257 V

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