A capacitor of capacitance C is charged by charge q 0 . At t = 0, it is connected to a battery of emf V and internal resistance r. Find the charge on the capacitor at time t (positive plate of capacitor connected with positive plate of battery).
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
CV(1 – e –t/Cr ) + q 0 e –t/Cr
Sol.
at time t using KVL
– 
– ir + V = 0
⇒ – 
r + V = 0
⇒ 
by using integration q = CV (1– e –t/Cr ) + q 0 e –t/Cr – q 0
⇒ So charge on capacitor = q 0 + q = CV(1 – e –t/Cr ) + q 0 e –t/Cr
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The capacity of a parallel plate condenser is . When a glass plate is placed between the plates of…
A capacitor is charged by using a battery which is then disconnected. A dielectric slab is then sli…
The energy of a charged capacitor is given by the expression ( = charge on the conductor and C = i…
The capacity of a condenser is farad and its potential is . The energy released on discharging it…
The insulated spheres of radii and having charges and respectively are connected to each other.…
In a charged capacitor, the energy resides