You set up the circuit shown in Fig. 26.20, where C = 5.00 × 10^-6F. 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:

(a) Graph q as a function of i. Explain why the data points, when plotted this way, fall close to a straight line. Find the slope and y-intercept of the straight line that gives the best fit to the data.

(b) Use your results from part (a) to calculate the resistance R of the resistor and the emf E of the battery.

(c) At what time t after the switch is closed is the voltage across the capacitor equal to 10.0 V?

(d) When the voltage across the capacitor is 4.00 V, what is the voltage across the resistor?

Transcribed Image Text:

i (mA) 4 (μC) 48.0 40.0 30.2 32.0 40.0 24.0 49.9 56.0 10.1 19.8