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If a conductor follows the OhmтАЩs law, then the graph between current and voltage will be a/an _______.
hyperbola
parabola
straight line
ellipse
straight line
According to Ohm's law, the electric current flowing through a metallic conductor is directly proportional to the potential difference across its ends, provided physical conditions like temperature remain constant. Mathematically expressed as V=IR, this linear relationship results in a straight-line graph when voltage (V) is plotted along the x-axis and current (I) along the y-axis (or vice versa).
According to Ohm's law, the electric current flowing through a metallic conductor is directly proportional to the potential difference across its ends, provided physical conditions like temperature remain constant. Mathematically expressed as V=IR, this linear relationship results in a straight-line graph when voltage (V) is plotted along the x-axis and current (I) along the y-axis (or vice versa).
Think of water flowing through a pipe: doubling the water pressure (voltage) doubles the rate of water flow (current) through the pipe, producing a proportional straight-line relationship.
V-I-R: Very Important Resistance (V=I├ЧR).
V=I├ЧR тАФ Ohm's Law relationship
R=IVтАЛ тАФ Definition of electrical resistance
I=RVтАЛ тАФ Current as a function of voltage and resistance
Ohm's law states that VтИЭI. The constant of proportionality is the electrical resistance (R). When plotted on a Cartesian coordinate system with current (I) on the y-axis and voltage (V) on the x-axis, the equation takes the form of a linear equation y=mx, where the slope m represents the conductance (1/R). Since resistance remains constant for an ohmic conductor at a given temperature, the graph is a linear straight line passing through the origin.
Ohm's law is applicable only to metallic conductors under constant physical conditions (temperature, pressure, strain).
The graph of voltage versus current for an ohmic device is a straight line passing through the origin (0,0).
Non-ohmic devices (like diodes, transistors, or electrolytes) do not yield a straight-line graph.
The inverse of the slope of the I-V graph gives the resistance (R).
SI unit of resistance is Ohm (╬й).
Helps in easy calculation of unknown voltage, current, or resistance values in linear circuits.
Does not apply to non-linear or non-ohmic electronic components like semiconductor diodes and vacuum tubes.
Designing electronic circuits and resistor networks.
Calculating power consumption and safety fuses in household wiring.
Named after the German physicist Georg Simon Ohm, who published the law in 1827.
Option A (hyperbola), Option B (parabola), and Option D (ellipse) represent non-linear relationships characteristic of non-ohmic devices or specific quadratic/geometric curves.
C is correct тАФ The graph between current and voltage for a conductor obeying Ohm's law is a straight line.
Always verify whether the device is ohmic or non-ohmic in numerical problems before applying V=IR directly.