e circuit shown 1s assembled with an uncharged capacitor, and then the battery i

Question

e circuit shown 1s assembled with an uncharged capacitor, and then the battery is connected. a) How much current flows through each resistor immediately after the battery is connected? b) How much current flows through each resistor a long time after the battery is connected? c) What is the maximum amount of charge that accumulates on the capacitor? d) While the capacitor is charging, at the moment that the capacitor has accumulated a charge of ±Q on its plates, how much current flows through each resistor? e) At that same moment, how much current flows "through" the capacitor (into the top plate and out the bottom)?

Explanation / Answer

for the given circuit the capacitor is initially uncharged

a. as soon as the battery is connected the capacitor has infinite conductance and acts like a closed switch

so resistor R2 is out of circuit

hence current in ciorcuit = i

i = E/R2 ( where E is given EMF)

b. aftert a long time, the capacitor acts like open switch

so current in circuit = i'

i' = E/(R2 + R2) = E/2R2

c. voltage difference around capacitor wehen its fuilly charged = V

V = R2*i' = E/2

let change on capacitor be Q

then Q = C*E/2 = EC/2 ( where C is capacitance of the capacitor)

d. charge on cpaacitor = Q

voltage across capacitopr = V = Q/C

voltage across the R2 parallel to the capacitor = Q/C

current through the resistor = i

i = Q/CR2

also, voltage drop acrtoss other resistor = E - Q/C

current through this resistor, i' = (E - Q/C)/R2

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

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