This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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a) The tabulated results are: | Current (I) / A | 0.10 | 0.20 | 0.30 | 0.40 | 0.50 | | :-------------- | :--- | :--- | :--- | :--- | :--- | | Voltage (V) / V | 0.50 | 1.00 | 1.50 | 2.00 | 2.50 | b) (i) To plot the graph: 1. Draw two perpendicular axes. 2. Label the vertical axis "Voltage (V)" and the horizontal axis "Current (I)". 3. Choose appropriate scales for both axes. For example, for current, 1 cm could represent 0.05 A, and for voltage, 1 cm could represent 0.25 V. 4. Plot each pair of (Current, Voltage) readings as a point on the graph: (0.10, 0.50), (0.20, 1.00), (0.30, 1.50), (0.40, 2.00), (0.50, 2.50). 5. Draw a straight line of best fit through the plotted points. (ii) To determine the slope of the graph: Step 1: Choose two distinct points on the straight line of best fit. Using the points from the table, for example, (I_1, V_1) = (0.10 A, 0.50 V) and (I_2, V_2) = (0.50 A, 2.50 V). Step 2: Calculate the change in voltage ( V) and the change in current ( I). V = V_2 - V_1 = 2.50 V - 0.50 V = 2.00 V I = I_2 - I_1 = 0.50 A - 0.10 A = 0.40 A Step 3: Calculate the slope using the formula Slope = ( V)/( I). Slope = 2.00 V0.40 A = 5.0 VA Slope = 5.0 \, (iii) The significance of the slope: The slope of the Voltage (V) versus Current (I) graph represents the resistance of the conductor. Send me the next one 📸