A 4μF capacitor, a resistance of 2.5MΩ is in series with 12V battery. Find the time after which the potential difference across the capacitor is 3 times the potential difference across the resistor. [Given: ln(b)=0.693]
13.86s
6.93s
7s
14s
A
13.86s
B
6.93s
C
7s
D
14s
Open in App
Solution
Verified by Toppr
Here, VC=3VR=3(V0−VC) where V0=12V, applied voltage. VC=34V0 V0(1−e−t/RC)=34V0 e−t/RC=14 et/RC=4
Was this answer helpful?
6
Similar Questions
Q1
A 4μF capacitor, a resistance of 2.5MΩ is in series with 12V battery. Find the time after which the potential difference across the capacitor is 3 times the potential difference across the resistor. [Given: ln(b)=0.693]
View Solution
Q2
A capacitor (C=4.0μF) is connected through a resistor (R=2.5MΩ) across a battery of negligible intemal resistance of voltage 12 volts. The time after which the potential difference across the capacitor becomes three times to that of resistor is (ln2=0.693)
View Solution
Q3
An uncharged capacitor of capacitance 4μF, a battery of emf 12volt and a resistor of 2.5MΩ are connected in series. The time after which VC=3VR is (take ln2=0.693)
View Solution
Q4
Two capacitors of 6 μf and 4 μf are put in series across a 120 V battery. What is the potential difference across the 4 μf capacitor?
View Solution
Q5
In the given circuit, the potential difference across the capacitor is 12 V in steady state. Each resistor have 3Ω resistance. The emf of the ideal battery is