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Electric Field Lines I 1________________2___________________3__________________4________________ Electric Field Determined from Equal-Potential Plots 1. If you wanted to know the slope of the curved line at r = 2.5m, would the straight line connecting the points r = 2 and r = 3 be a good approximation? ___________ 2. If only using the discrete data points (not the curve) could you estimate the slope at r = 3 as accurately as at r = 2.5m using the same points you used above __________ Explain. 3. Estimate the slope of the straight line you drew in Q1. Show your calculation, Box answer and units. 4. Calculate the slope in a similar manner for the r interval [1, 2]. Show your calculation, Box answer and units. 5. Calculate the slope in a similar manner for the r interval [3, 4]. Show your calculation, Box answer and units. 6. Calculate the slope in a similar manner for the r interval [4, 5]. Show your calculation, Box answer and units. 7. Calculate the slope in a similar manner for the r interval [5, 6]. Show your calculation, Box answer and units. 1 8. Turn to the Equal-Potential Lines plot. This plot represents the same data from the first graph in a different manner. Using the formula E = V/r, calculate the electric field for the [0, 10V] interval. Show work. Box answer and units. 9. Referring to the previous graph and your analysis, at what value of r is the slope you calculated in Q8 most likely to match the real data (refer to the V vs. r graph line)? Most likely r =___________ 10. Using the formula E = V/r, calculate the electric field for the [10V, 20V] interval. Show work. Box answer and units. 11. Using the formula E = V/r, calculate the electric field for the [20V, 30V] interval. Show work. Box answer and units. 12. Using the formula E = V/r, calculate the electric field for the [70V, 80V] interval. Show work. Box answer and units. 13. Refer to the V vs. r graph. Should the answer to Q12 be similar the answer to Q7?_______ Explain. 2 Graphs 100 90 80 70 V(volts) 60 50 40 30 20 10 0 1 2 3 4 5 6 r(meters) 0V 90 10 V 20V 30 V 40 V 5 0 6 0 7 0 8 0 80 70 60 50 40 30 20 10 0 1 2 3 4 5 6 r(meters) 3