KCET2021PhysicsAlternating Current
In an oscillating L C -circuit, L=3 mH and C=2.7 F . At t=0 , the charge on the capacitor is zero and the current is 2 ~A . The maximum charge that will appear on the capacitor will be
Options
- A1.8 10⁻⁵ C
- B18 10⁻⁵ C
- C9 10⁻⁵ C
- D90 10⁻⁵ C
Correct answer
B. 18 10⁻⁵ C
Step-by-step solution
The charge is a function of time (t) , is given by q=q₀ t...(i) where, q₀= maximum charge, and = angular frequency. Differentiating Eq. (i), we get I= d q d t = d d t (q₀ t )= q₀ t At, t=0 , aligned I &= q₀ (0)= q₀ I &= 1 L C q₀ or q₀=I L C [ = 1 L C ] &=2 3 2.7 10⁻⁶ &=18 10⁻⁵ C aligned