(S%) Problem 11: A bank of batteries, total emf e = 7.5 V, is in a circuit with resistor R= 120 kQ, capacitor C = 470 nF, and two-pole switch S 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 sufficiently long time so that the capacitor is fully charged. R Randomized Variables 8 = 7.5 V R = 120 k C = 470 nF Otheexpertta.com 2 V17% Part (a) Calculate the maximum charge Q on the capacitor (in coulombs). Q = 3.525 * 10-6 Q = 3.525E-6 / Correct! 2V17% Part (b) The switch is moved from point a, but not connected to point b. What will happen to the voltage across the capacitor? The voltage will not change / Correct! 2 V 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. 1= 62.5 * 10-6 I= 6.25E-5 / Correct! 9 V 17% Part (d) 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 ɛ. V() = e e"(RC) Correct! E A 17% Part (e) Calculate the time (in seconds), after contact is made by the switch at position b, that it will take the capacitor to discharge halfway. D A 17% Part (f) Calculate the current through the resistor (in amperes) at time t= 25 ms after the switch is connected to point b. Grade Summary Deductions 096
(S%) Problem 11: A bank of batteries, total emf e = 7.5 V, is in a circuit with resistor R= 120 kQ, capacitor C = 470 nF, and two-pole switch S 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 sufficiently long time so that the capacitor is fully charged. R Randomized Variables 8 = 7.5 V R = 120 k C = 470 nF Otheexpertta.com 2 V17% Part (a) Calculate the maximum charge Q on the capacitor (in coulombs). Q = 3.525 * 10-6 Q = 3.525E-6 / Correct! 2V17% Part (b) The switch is moved from point a, but not connected to point b. What will happen to the voltage across the capacitor? The voltage will not change / Correct! 2 V 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. 1= 62.5 * 10-6 I= 6.25E-5 / Correct! 9 V 17% Part (d) 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 ɛ. V() = e e"(RC) Correct! E A 17% Part (e) Calculate the time (in seconds), after contact is made by the switch at position b, that it will take the capacitor to discharge halfway. D A 17% Part (f) Calculate the current through the resistor (in amperes) at time t= 25 ms after the switch is connected to point b. Grade Summary Deductions 096
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