A voltage source connected in series with a resistor can be converted ...
A voltage source connected in series can be converted to a current source connected in parallel using the relation obtained from ohm’s law, that is V=IR. This equation shows that a voltage source connected in series has the same impact as a current source connected in parallel.
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A voltage source connected in series with a resistor can be converted ...
Conversion of a Voltage Source and Resistor to a Current Source and Resistor
To understand why the correct answer is option 'B' (current source in parallel with a resistor), let's break down the process step by step.
1. Voltage Source in Series with a Resistor
When a voltage source (V) is connected in series with a resistor (R), the current flowing through the circuit is determined by Ohm's law:
I = V/R
In this configuration, the voltage source determines the potential difference across the resistor, and the resistor limits the current flowing through the circuit.
2. Converting to a Current Source
To convert this series combination to a current source, we need to replace the voltage source with a current source. A current source is a device that provides a constant current regardless of the load connected to it.
3. Current Source in Parallel with a Resistor
To achieve the conversion, we connect a current source (I) in parallel with the resistor (R). The current source provides a constant current through the circuit, and the resistor limits the voltage drop across it.
4. Implications of the Conversion
By converting the voltage source and resistor to a current source and resistor, the behavior of the circuit changes. The current source ensures a constant current through the circuit, while the resistor still limits the voltage drop.
This conversion is useful in various applications, such as current biasing in transistor circuits or simulating current sources in electronic designs.
Summary
In summary, a voltage source connected in series with a resistor can be converted to a current source in parallel with a resistor. This conversion involves replacing the voltage source with a current source and connecting it in parallel with the resistor. The current source ensures a constant current through the circuit, while the resistor limits the voltage drop. This conversion is commonly used in electronic circuits and has several practical applications.
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