WS 5-Capacitors in Circuits I. A circuit contains two resistors (10 and 20 ) and
ID: 1874682 • Letter: W
Question
WS 5-Capacitors in Circuits I. A circuit contains two resistors (10 and 20 ) and two capacitors (12 F and 6 F) connected to a 6 V battery, as shown in the diagram. [2003B2] a. Calculate the total capacitance of the circuit. b. Calculate the initial current in the 10 resistor immediately after the 10 A 6V 12-20 6 circuit has been connected. Assume now that the circuit has been connected for a long time. c. Calculate the steady-state current in the 10 resistor. d. Calculate the potential difference between points A and B. Calculate the charge stored on one plate of the 6 F capacitor. f. The wire is cut at point P. Will the potential difference between points A and B increase, decrease, or remain the same? decrease remain the same increase Justify your answerExplanation / Answer
C) =when circuit is in steady state, it means that capacitors are fully charged and no current flows through them. So the capacitors behave like broken wires.
Current=voltage/resistance
As there is no current through branch AB, we assume it as a circuit with single loop,where two resistances are connected in series combination
R total =20+10= 30 ohm
V=6v
So we have from V=iR
6=i*30
i=6/30=0.2A
This current will flow in the whole circuit except the branch clntaining capacitor and thus current through 10 ohm resistor is also 0.2A.
D):let us potential at A is Va and potential at B is Vb.
As the current goes from A to B through external branch, there will be a voltage drop across the resistor equal to Va-Vb.
Va-Vb=ir
Va-Vb=0.2*20=4 v
So potential difference between A and B =4v.
F):as the capacitors are fully charged and behave like broken wires as no current flows through them.
So the whole current flows the circuit except the branch containing the capacitors,and potential differences between A and B depend on current.
Thus there will be no. role of point p in potential between A and B. So we can say potential differences remains the same..
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