Home
Class 12
PHYSICS
A capacitor initially given a charge Q(0...

A capacitor initially given a charge `Q_(0)` is connected across a resistor `R` at `t=0`. The separation between the plates changes according to `d=(d_(0))/((1+t))(0 le t lt1)`. A small bulb is connected across the plates of the capacitor which lights when potential difference across the plates of the capacitor reaches `V_(0)`. Find
(`a`) the variation of charge with time
(`b`) time when the bulb will light.

Text Solution

Verified by Experts

`q=Q_(o)(1+t)^((1)/(RC_(o)))`
(b)`t=1-((V_(o)C_(0))/Q_(o))^-(RC_(o)/(RC_(o)+1))`
Promotional Banner

Similar Questions

Explore conceptually related problems

A capacitor given a charge Q_(0) is conected across a resistor R at t = 0. The separation between the plates changes according to d=(d)/((1+t)) (0 le t lt 1) Find the variation of charge on capacitor with time.

If A is connerted with D and B is connected with C find the potential difference a across each capacitor and the final charge in each capacitor.

A capacitor is charged to a potential difference of 100 V and is then connected across a resistor. The potential difference across the capacitor decays exponentially with respect to time. After 1 sec, the P.D. between the plates of the capacitor is 80 V. what will be the potential difference between the plates after 2 sec ?

In the circuit in Fig. switch S_(1) was closed for a long time . At time t = 0 the switch is opened. Find the maximum potentail difference across the plates of the capacitor after the switch is opened.

In the circuit shown in fig, switch S was closed for long time. At time t-0, the switch is opened again. The maximum potential difference across the plates of the capacitor after the switch is opened is

A capacitor is connected to a variable source of potential. Current flowing in the circuit and potential across the plates of capacitor at time t are shown in figure. Capacity of the capacitor is

A 10V battery is connected to two capacitors C_1 and C_2 and a resistor R. When the capacitors are fully charged, then the potential difference across the resistor will be

Find potential difference across the plates AB if capacitance between the plates is C and area of each plate is equal and Q_(1), Q_(2) (lt Q_1) are charges given to the plates

A capacitor or capacitance C_(1) is charge to a potential V and then connected in parallel to an uncharged capacitor of capacitance C_(2) . The fianl potential difference across each capacitor will be

The charging current for a capacitor is 0.25 A . What is the displacement current across its plates?