Question

Question 6 1 pts Initially, the switch in the circuit below is closed. If the circuit has been opened at t=0 what is the current in the resistance at that instance? in A, 2 significant figures +5v 5 400 uF + 20 o 0.4 0 2 O 2.5

Answer 1

Q6 Given initially switch closed so the CKT will be wo let at time t charge on capacitos at 9(+) consider cument i, 12 and is Apply Kul at loop O V=5volt Evi sum -Vt 오네 C So C= 100 M F and R=22 Charge on copocitos at timet 21+) = ev (independent of time 211) с v Apply Kul at loop o alt 21+) с + (H) R So b) IHIR V = OR - 2441 time the for time ) capacitos is fully is fully charged and charge = CV (maximum charge) on Cobacitos has charge Q=CV and will be lift) NON thitially the capacitos and switch opened. The CKT The capacity starts discharging Now let of time to charge on c at alt V Apply KVL at loob to + Q(H + ict R to where pict ) OCH, current through R at time t

SO 8 H1 =-iHIR с As ift) ² do dt ich RC ele ola da dt ola RC Both sides olo o dt RC t at PC integrate -(1-0) RC 00 ina S 누 8 Q. =0 0 . HIRC o =e -t/RC -t Q RC The charge at timelt) on The cusent espacitor Q(t)=% e -TRC _AIRC at time t ist) =- RC ro -cu e RC -t/PC R is i(t)= e magnitude of cussent at time t through resistor {{t=o) = le old old at t=0 inlo = 2.5 Amb R Resistor at t-o is 2.5 Amp so The cunent through the