The I-V characteristics of the elements between the nodes X and Y is best depicted
To solve this problem, we need to analyze the circuit given between nodes X and Y. The circuit shows a 1 A current source and a 1 kΩ resistor in parallel.
To determine the I-V characteristics (current-voltage characteristics) of this circuit, consider the following:
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The 1 A current source ensures a constant current of 1 A is maintained through the circuit, irrespective of the voltage across it. This means the current I_{XY} is constant at 1 A.
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The voltage across the resistor is given by Ohm's law: V = IR. For a 1 kΩ resistor with a 1 A current, the voltage V_{XY} is:
V = 1 \text{ A} \times 1000 \, \Omega = 1000 \, \text{V}.
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Since the current is constant, the voltage across the circuit is also constant. This implies the I-V characteristics will be a straight line parallel to the voltage axis at I = 1 \text{ A}.
Thus, the I-V characteristic graph for the given elements is a horizontal line at I = 1 \text{ A}, corresponding to a vertical line because the voltage is constant.
The correct I-V characteristics graph is depicted as:
This option shows a vertical line at V = 1000 \, \text{V} which corresponds to a constant current as we derived.
Important Questions from Circuit Elements
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