Mathematical ReasoningHard
Question
In an LCR circuit as shown below both switches are open initially. Now switch S1 is closed, S2 kept open, (q is charge on the capacitor and 
is Capacitive time constant). Which of the following statement is correct ?
is Capacitive time constant). Which of the following statement is correct ?Options
A.Work done by the battery is half of the energy dissipated in the resistor
B.At t= 
, q = CV/2
, q = CV/2C.At t = 
,q = CV(1-e-2)
,q = CV(1-e-2) D.At 
, q = CV(1-e-1)
, q = CV(1-e-1)Solution
For charging of capacitor
q = q0 (1 - e- t/
) = CV (1 - e- t/)
at t =, q = CV(1 - e-2)
q = q0 (1 - e- t/
) = CV (1 - e- t/)at t =
, q = CV(1 - e-2)Create a free account to view solution
View Solution FreeMore Mathematical Reasoning Questions
In a certain town, 25% of the families own a phone and 15% own a car; 65% families own neither a phone nor a car and 2,0...The I-V characteristic of an LED is :...Consider the following statements :P : Suman is brilliantQ : Suman is rich.R : Suman is honestthe negation of the statem...Consider the following statements P : Suman is brilliant Q : Suman is rich R : Suman is honest The negation of the state...Consider the following statements :p : Sachin plays wellq : Sachin is good at heartr : Sachin will get Bharat Ratnathen ...