When we tune in any desired station in a radio receiver by rotating the tuning control we vary
A capacitance
When you operate a radio receiver and rotate the tuning control to select a desired station, you are essentially adjusting a fundamental electrical property within the radio's circuit. This adjustment allows the receiver to resonate at the specific frequency of the station you want to hear.
Most radio receivers use an LC (Inductor-Capacitor) circuit for tuning. This circuit is designed to achieve electrical resonance, which means it responds most strongly to a specific frequency and largely ignores others. The resonant frequency \((f_0)\) of an LC circuit is determined by the values of its inductance \((L)\) and capacitance \((C)\) according to the following formula:
\[ f_0 = \frac{1}{2\pi\sqrt{LC}} \]
To tune into a different desired station, which operates at a different frequency, the resonant frequency of the receiver's LC circuit must be changed. This can be achieved by varying either the inductance \((L)\) or the capacitance \((C)\) in the circuit.
In common radio receivers, it is the capacitance that is typically varied to change the resonant frequency and thus tune into different desired stations. This is usually done using a component called a variable capacitor.
Let's consider the given options in the context of tuning a radio receiver:
Therefore, when you rotate the tuning control on a radio receiver to tune in any desired station, you are primarily varying the capacitance within the receiver's resonant circuit. This change in capacitance alters the circuit's resonant frequency, enabling it to pick up different radio stations.
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