**Understanding Capacitance and Inductance in AM Radios**In AM radios, the tuner uses a variable capacitor to select different frequencies. This educational example illustrates how to calculate the capacitance and inductance for tuning purposes.### Problem StatementThe variable capacitor in the tuner of an AM radio has a capacitance of 2400 picofarads (pF) when the radio is tuned to a station at 550 kilohertz (kHz).### Part A: Calculating the Required Capacitance**Question:** What must be the capacitance for a station at 1300 kHz?**Answer:** The calculated capacitance for tuning to a station at 1300 kHz is 430 pF. - The input, `C = 430 pF`, is verified as correct.### Part B: Determining the Inductance**Question:** What is the inductance (assumed constant)?**Answer:** The attempt to calculate the inductance resulted in `L = 1.29 × 10⁻⁷ H`. - This answer was incorrect, and two further attempts are allowed.This example illustrates the importance of accurate calculations when dealing with capacitors and inductors in radio tuners. Adjusting capacitance and maintaining consistent inductance are crucial for proper radio tuning across different frequencies.

Answered: Image /qna-images/answer/52ff7d0d-4d82-4799-bd7b-62fdf45a6a2c.jpg

The variable capacitor in the tuner of an AM radio has a capacitance of 2400 pF when the radio is tuned to a station at 550 kHz. Part A What must be the capacitance for a station at 1300 kHz ? Express your answer to two significant figures and include the appropriate units. C = 430 pF Submit ✓ Correct Correct answer is shown. Your answer 418 pF was either rounded differently or Part B Previous Answers What is the inductance (assumed constant)? Express your answer using two significant figures. ΞΑΣΦ 7 L = 1.29 107 Submit Previous Answers Request Answer ? X Incorrect; Try Again; 2 attempts remaining H

The variable capacitor in the tuner of an AM radio has a capacitance of 2400 pF when the radio is tuned to a station at 550 kHz. Part A What must be the capacitance for a station at 1300 kHz ? Express your answer to two significant figures and include the appropriate units. C = 430 pF Submit ✓ Correct Correct answer is shown. Your answer 418 pF was either rounded differently or Part B Previous Answers What is the inductance (assumed constant)? Express your answer using two significant figures. ΞΑΣΦ 7 L = 1.29 107 Submit Previous Answers Request Answer ? X Incorrect; Try Again; 2 attempts remaining H

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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