A circuit is constructed with four resistors, one capacitor, one battery and a s

Question

A circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. The values for the resistors are: R1 = R2 = 43 , R3 = 112 and R4 = 125 . The capacitance is C = 48 F and the battery voltage is V = 24 V.

4) Consider the circuit above, with R5 = 115 in series with the capacitor. Once again, the switch has been open for a long time when at time t = 0, the switch is closed. What is I1(0), the magnitude of the current through the resistor R1 just after the switch is closed? =..............A

5) Continuing with the new circuit, what is Q(), the charge on the capacitor after the switch has been closed for a very long time? =............C

Explanation / Answer

4.

immediately after switch is closed after t=0 ,the capacitor will act as short circuit ,the equivalent resistance is

Req=43+125+(1/115 +(1/43+112))-1=234.ohms

current

I1(0)=V/Req=24/234=0.1026 A

5.

after long time switch is closed ,capacitor will act as open circuit.volage across capacitor is

Vc=24*(43+125)/(43+125+43+112)=12.48 V

charge on capacitor at t=infinity is

Q=CV=48*12.48

Q=599.2 uC

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.