Ncert Exercises & Solutions

For an L-C-R circuit driven at a frequency $ω$ , the equation reads

$L \frac{d i}{d t} + R i + \frac{q}{C} = V_{i} = V_{m} \sin ω t$

a.	Multiply the equation by i and simplify where possible.
b.	Interpret each term physically.
c.	Cast the equation in the form of conservation of energy statement.
d.	Integrate the equation over the one cycle to find that the phase difference between V and i must be acute.