A broadcast-band tuner consists of a fixed inductor of inductance in series with a…

PHYSICS · Multi-part · CBSE · Physics · Alternating Current · Alternating Current

Problem

A broadcast-band tuner consists of a fixed inductor of inductance L=350 μHL = 350\,\mu\text{H} in series with a variable air-spaced capacitor. The capacitor can be continuously adjusted from Cmin=100 pFC_{\text{min}} = 100\,\text{pF} to Cmax=1000 pFC_{\text{max}} = 1000\,\text{pF}. Answer the following questions about this tuner: (i) Calculate the lowest and highest ordinary frequencies that can be tuned with this circuit. Express both answers in kHz\text{kHz} correct to three significant figures. (ii) The amplitudes of four local AM broadcast stations have carrier frequencies of 530 kHz, 700 kHz, 1200 kHz and 5000 kHz. Which of these stations can this tuner receive? Give a brief justification for each frequency listed. (iii) If the listener wishes to receive the 700 kHz station, determine the value of capacitance required. Give your answer to three significant figures in picofarads.

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