Question

Plot a graph between V and I.

Answer 1

Plot of V vs I: The graph is a straight line passing through the origin, where V is on the y-axis and I is on the x-axis. The slope of this line represents the resistance.

Answer 2

Step 1: Understand the formula to calculate resistance:
According to Ohm’s Law, the resistance \( R \) of a resistor can be calculated using the formula:
\[ R = \frac{\Delta V}{\Delta I} \]
Where:
- \( \Delta V \) is the change in potential difference (voltage)
- \( \Delta I \) is the change in current

Step 2: Choose two points from the graph or table:
Let us take two data points:
- First point: \( V_1 = 1.5\,\text{V},\; I_1 = 0.5\,\text{A} \)
- Second point: \( V_2 = 6.2\,\text{V},\; I_2 = 2.0\,\text{A} \)

Step 3: Calculate the change in voltage and current:
\[ \Delta V = V_2 - V_1 = 6.2 - 1.5 = 4.7\,\text{V} \]
\[ \Delta I = I_2 - I_1 = 2.0 - 0.5 = 1.5\,\text{A} \]

Step 4: Substitute the values into the formula:
\[ R = \frac{4.7}{1.5} \approx 3.13\,\Omega \]

Step 5: Conclusion:
The resistance of the resistor is approximately 3.13 ohms (Ω).

Answer 3

Step 1: Identify the type of graph:
The graph being referred to is typically a straight-line graph between potential difference (V) on the y-axis and current (I) on the x-axis.

Step 2: Understand the concept being represented:
This type of linear graph indicates a direct relationship between the potential difference and current.

Step 3: Apply Ohm’s Law:
Ohm’s Law is given by:
\[ V = IR \]
Where:
- V is the potential difference across the resistor
- I is the current through the resistor
- R is the resistance (a constant)

This law states that if resistance (R) is constant, the voltage (V) varies linearly with current (I).

Step 4: Conditions for validity:
Ohm’s Law holds true only when the temperature remains constant. Any change in temperature can change the resistance and affect the linearity of the graph.

Step 5: Conclusion:
The graph represents Ohm’s Law, which states that the potential difference (V) across a resistor is directly proportional to the current (I) through it, provided the temperature remains constant.

Answer 4

Step 1: Understand the graph being discussed:
The question refers to a graph between potential difference (V) and current (I) for a resistor, which typically shows a straight line if the resistor follows Ohm’s Law.

Step 2: Apply Ohm’s Law:
Ohm’s Law states that:
\[ V = IR \]
Where:
- V is the potential difference
- I is the current
- R is the resistance (a constant for a given resistor)

Step 3: Check the condition at zero current:
When I = 0, we substitute into Ohm’s Law:
\[ V = 0 \times R = 0 \]
This means that there is no potential difference across the resistor when no current is flowing.

Step 4: Conclusion:
The graph of potential difference (V) versus current (I) passes through the origin because at I = 0, the value of V is also 0. This shows that both quantities are directly proportional and start from zero.