Resistance is defined by R = V/I where V is potential difference and I is current.
It is not: change in pd / change in current - which would be the gradient of the curve.
Thus to measure the resistance at a particular pd we simply read off the current at that pd and use the equation above.
The problem stems from the way resistors are introduced before non-ohmic components, and for ohmic components it may appear that the gradient is being used for the resistance.
The gradient of that line will be the speed of the object, because the gradient is the difference in y over the difference in x, while the speed is the difference in distance over the difference in time.
resistance of a material
the gradient of the graph
It is the downward gradient of the graph.
Take measurements of resistances of various lengths of a wire of constant diameter. Make a graph of resistance against length / cross-sectional area of wire. The gradient of the straight line section will be equal to the resistivity of the wire.
The gradient of that line will be the speed of the object, because the gradient is the difference in y over the difference in x, while the speed is the difference in distance over the difference in time.
resistance of a material
The answer depends on what the graph is of!
the gradient of the graph
The current is represented by the horizontal (x) axis, and the potential difference is represented by the vertical (y) axis.If the resulting graph is a straight line, then it confirms that the circuit is obeying Ohm's Law. If the resulting graph is a curve, then the circuit does not obey Ohm's Law.The gradient at any point along of the resulting line represents the resistance of the load for that ratio of voltage to current.
The gradient of a distance-time graph gives the object's speed.
It is the downward gradient of the graph.
The gradient of the graph.
Not if the gradient calculation is done correctly.
If the graph is for Ohmic components e.g resistor or wires -Constant gradient -V is proportional to I The second graph is for Non-Ohmic components e.g Filament lamps/diodes -(v is NOT proportional to I) -Gradient is high at the origin (0,0) and low at the top due to an increase in resistance Hope this helps!! I couldn't put the pictures on, but just google a Filament lamp graph and they will come up :)
Gradient (on a graph as I assume you mean), or the differential of the line's equation (dy/dx which means "the difference in y with respect to a difference in x").
The gradient (slope) of the tangent to the graph at the given time - provided that it exists. If the graph is a straight line at that point, it is the gradient of that line.