(13%) Problem 4: A bank of batteries, total emf s = 7.5 V, is in a circuit with resistor R = 180 k9, capacitor C = 680 nF, and two-pole switch 5 as shown. The switch is initially set to point a so that the batteries, resistor, and capacitor are in series. The switched is left in this position for a a S sufciently long time so that the capacitor is fully charged. Randomized Variables e=7.5V R=180k2 C C=680nF Utllccxportlamum [> A 17% Part (a) Calculate the maximum charge Q on the capacitor (in coulombs). Grade Summary Q = Deductions 0% Potential 100% sin() cos() tan() TE ( ) 7 8 9 HOME Submissions . Attempts remaining: 50 cotan() asrn() acosO E 1'" A], 4 5 6 ' 0% per attempt) atan() acotanO sinh() / * 1 2 3 detailed view cosh() tanh() cotanhO + - 0 . END Degrees O Radians JO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback. A 17% Part (b) The switch is moved 'om point a, but not connected to point b. What will happen to the voltage across the capacitor? 3 17% Part (c) The switch is now (at t= 0) moved to point b. Determine the current through resistor R (in amperes) the instant the switch is closed. You may assume the direction of this current is positive. A 17% Part ((1) Determine an expression for the voltage across the capacitor as a function of time, with the switch at position b, in terms of the emf e. 3 17% Part (e) Calculate the time (in seconds), aer contact is made by the switch at position b, that it will take the capacitor to discharge halfway. E A 17% Part (1) Calculate the current through the resistor (in amperes) at time t = 1 75 ms aer the switch is connected to point b