Problem 9: A bank of batteries, total emf ɛ = 4.5 V, is in a circuit with resistor R = 150 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.

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can you plz solve (d) (e) (f)?

Problem 9: A bank of batteries, total emf ɛ = 4.5 V, is in a circuit with
resistor R = 150 k2, 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
ɛ = 4,5 V
R = 150 kQ
C = 470 nF
Part (a) Calculate the maximum charge Q on the capacitor (in coulombs).
Numeric : Anumeric value is expected and not an expression.
Q =
Part (b) The switch is moved from point a, but not connected to point b. What will happen to the voltage across the
capacitor?
MultipleChoice :
1) The voltage will not change
2) The voltage will drop linearly with time
3) The voltage will drop exponentially with time
4) The voltage will immediately rise to E.
5) The voltage will immediately drop to zero.
6) The voltage will increase linearly with time.
7) The voltage will increase exponentially with time
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.
Numeric : Anumeric value is expected and not an expression.
I =
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.
Expression :
V(t) =
Select from the variables below to write your expression. Note that all variables may not be required.
a, B, ɛ, 0, C, d, e, g, h, j, m, P, Q, R, t
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.
Numeric : A numeric value is expected and not an expression.
t1/2 =
Part (f) Calculate the current through the resistor (in amperes) at time t = 135 ms after the switch is connected to point b.
Numeric : Anumeric value is expected and not an expression.
I =
Transcribed Image Text:Problem 9: A bank of batteries, total emf ɛ = 4.5 V, is in a circuit with resistor R = 150 k2, 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 ɛ = 4,5 V R = 150 kQ C = 470 nF Part (a) Calculate the maximum charge Q on the capacitor (in coulombs). Numeric : Anumeric value is expected and not an expression. Q = Part (b) The switch is moved from point a, but not connected to point b. What will happen to the voltage across the capacitor? MultipleChoice : 1) The voltage will not change 2) The voltage will drop linearly with time 3) The voltage will drop exponentially with time 4) The voltage will immediately rise to E. 5) The voltage will immediately drop to zero. 6) The voltage will increase linearly with time. 7) The voltage will increase exponentially with time 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. Numeric : Anumeric value is expected and not an expression. I = 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. Expression : V(t) = Select from the variables below to write your expression. Note that all variables may not be required. a, B, ɛ, 0, C, d, e, g, h, j, m, P, Q, R, t 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. Numeric : A numeric value is expected and not an expression. t1/2 = Part (f) Calculate the current through the resistor (in amperes) at time t = 135 ms after the switch is connected to point b. Numeric : Anumeric value is expected and not an expression. I =
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