# Inductor + Capacitors

Two capacitors of capacitances $$C_1$$ and $$C_2$$ are connected in series with an inductor of inductance $$L$$. Initially the capacitors have charge such that $$V_B-V_A=4V_0$$ across $$C_1$$ and $$V_C-V_D=V_0$$ across $$C_2$$. Now if

a) Maximum current in circuit is $$\xi$$.

b) Potential drop across $$C_1$$ is $$\mu$$ at that instant.

c) Potential drop across $$C_2$$ is $$\eta$$ at that instant.

d) Equation of current flowing towards left in the inductor is given by $$i= \psi \left( \sin { \left( \frac { \omega t }{ \varsigma } \right) } \right)$$.

Find $$\xi +\mu +\eta +\psi +\omega +\varsigma$$.

Details And Assumptions:

• $$C_0=2F$$

• $$L=\dfrac 13 \ H$$

• $$V_0=4 \ \text{volt}$$

• Initially the current in the circuit is zero.

• $$\omega$$ and $$\varsigma$$ are co-prime.

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