The following Jour guestions pertain to the siuation described belo Both Switch

Question

The following Jour guestions pertain to the siuation described belo Both Switch A and B are open, and the capacitor is initially uncharsss We mow and Switch B simaltaneousiy are open, and the capacitor is initially unchansed. We now close Switch A Switch B Switch A 10 -18V C- 125.0 pF R1 = 100 R, =50 -oc -2 R: 10. True or false: The current Ii through the Re resistor is constant as a function of time after the are closed. Explain your reasoning ameth trough the R, resistor s 11. Immediately after Switch A and Switch B are closed, the magnitude of the current through the battery ( )is:

Explanation / Answer

10.

This is true.

As the resistance R1 is in parallel with capacitor and resistance R2.So the current through the resistance R1 is given by

I1=V/R1

Here V and R1 are constant.So current I1 is constant.

11.

Here just after the switches are closed,

Req = R1*R2/(R1+R2)

= 100*50/(100+50)

= 33.333 ohm

Hence Ib = 18/33.333 = 0.54 A

12.

While charging resistance, R = 33.333 ohm

Time constant while charging = RC = (125*10-12)(33.333) = 4166.625*10-12 s

13.

While discharging resistance, R = 100 + 50 = 150 ohm

Time constant while charging = RC = (125*10-12)(150) = 18750*10-12 s

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