You set up the circuit shown in (Figure 1), where C= 4.80 × 10−6 F. At time t = 0, you close the switch and then measure the charge q on the capacitor as a function of the current i in the resistor. Your results are given in the table below. i (mA) 56.0 48.0 40.0 32.0 24.0 q (μC) 10.1 19.8 30.2 40.0 49.9 (a) Find the slope of the straight line that gives the best fit to the data. Express your answer in coulombs per ampere (C/A) to two significant figures. (b) Find the y-intercept of the straight line that gives the best fit to the data. Express your answer to two significant figures and include the appropriate units. (c) Use your results from the previous parts to calculate the resistance R of the resistor. Express your answer to two significant figures and include the appropriate units.
You set up the circuit shown in (Figure 1), where C= 4.80 × 10−6 F. At time t = 0, you close the switch and then measure the charge q on the capacitor as a function of the current i in the resistor. Your results are given in the table below. i (mA) 56.0 48.0 40.0 32.0 24.0 q (μC) 10.1 19.8 30.2 40.0 49.9 (a) Find the slope of the straight line that gives the best fit to the data. Express your answer in coulombs per ampere (C/A) to two significant figures. (b) Find the y-intercept of the straight line that gives the best fit to the data. Express your answer to two significant figures and include the appropriate units. (c) Use your results from the previous parts to calculate the resistance R of the resistor. Express your answer to two significant figures and include the appropriate units.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 42P
Related questions
Question
You set up the circuit shown in (Figure 1), where C= 4.80 × 10−6 F. At time t = 0, you close the switch and then measure the charge q on the capacitor as a function of the current i in the resistor. Your results are given in the table below.
| i (mA) | 56.0 | 48.0 | 40.0 | 32.0 | 24.0 |
| q (μC) | 10.1 | 19.8 | 30.2 | 40.0 | 49.9 |
(a) Find the slope of the straight line that gives the best fit to the data.
Express your answer in coulombs per ampere (C/A) to two significant figures.
(b) Find the y-intercept of the straight line that gives the best fit to the data.
Express your answer to two significant figures and include the appropriate units.
(c) Use your results from the previous parts to calculate the resistance R of the resistor.
Express your answer to two significant figures and include the appropriate units.
(d) Use your results from the previous parts to calculate the emf E of the battery.
Express your answer to two significant figures and include the appropriate units.
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