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Your dual-band mobile phone can transmit at frequencies fi 800 MHz and f MHz. The phone transmits at f2 when the switch is open and at fi when the switch is closed. Find C1 and C2. Express the capacitance in picofarad and round up to 1 decimal digit. 1900 %3D %3D

Your dual-band mobile phone can transmit at frequencies fi 800 MHz and f MHz. The phone transmits at f2 when the switch is open and at fi when the switch is closed. Find C1 and C2. Express the capacitance in picofarad and round up to 1 decimal digit. 1900 %3D %3D

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**Dual-Band Mobile Phone Frequency Circuit** Your dual-band mobile phone can transmit at frequencies \( f_1 = 800 \, \text{MHz} \) and \( f_2 = 1900 \, \text{MHz} \). The phone transmits at \( f_2 \) when the switch is open and at \( f_1 \) when the switch is closed. Find \( C_1 \) and \( C_2 \). Express the capacitance in picofarads and round up to 1 decimal digit. **Circuit Diagram Explanation:** - **Components:** - Two capacitors, \( C_1 \) and \( C_2 \), are shown in parallel in the circuit. - An inductor, labeled \( L = 1 \, \text{nH} \), is in series with the parallel capacitors. - **Functionality:** - The circuit functions as a switch between the two transmission frequencies. - When the switch is closed, the phone toggles to transmit at the lower frequency \( f_1 \). - When the switch is open, it transmits at the higher frequency \( f_2 \). This setup allows a single device to easily switch between two designated frequencies, facilitating communication over different bands. Calculating the values of \( C_1 \) and \( C_2 \) ensures optimal performance across the specified frequencies.
Transcribed Image Text:**Dual-Band Mobile Phone Frequency Circuit** Your dual-band mobile phone can transmit at frequencies \( f_1 = 800 \, \text{MHz} \) and \( f_2 = 1900 \, \text{MHz} \). The phone transmits at \( f_2 \) when the switch is open and at \( f_1 \) when the switch is closed. Find \( C_1 \) and \( C_2 \). Express the capacitance in picofarads and round up to 1 decimal digit. **Circuit Diagram Explanation:** - **Components:** - Two capacitors, \( C_1 \) and \( C_2 \), are shown in parallel in the circuit. - An inductor, labeled \( L = 1 \, \text{nH} \), is in series with the parallel capacitors. - **Functionality:** - The circuit functions as a switch between the two transmission frequencies. - When the switch is closed, the phone toggles to transmit at the lower frequency \( f_1 \). - When the switch is open, it transmits at the higher frequency \( f_2 \). This setup allows a single device to easily switch between two designated frequencies, facilitating communication over different bands. Calculating the values of \( C_1 \) and \( C_2 \) ensures optimal performance across the specified frequencies.
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