An inductor and two capacitors are connected in the circuit as shown in figure. Initially capacitor A has no charge and capacitor B has $C V$ charge. Assume that the circuit has no resistance at all. at at=0, switch S is closed, then [given $L C = \frac{2}{π^{2} \times 10^{4}} s^{2}$ and $C V = 100 m C$ ]choose the correct option

Question

Infinity Learn · Accepted Answer

$$Ld2qdt2+qC$$−CV−$$qC=0$$  BY applying kirchoffs $$lawd2qdt2+2q$$−$$CVLC=0$$ω$$=2LC=22$$$$π$$$$2$$×$$104=100$$$$π$$$$q=CV2$$[$$1$$−$$cos$$ωt]q'$$=CV$$−$$q=CV2$$[$$1+$$$$cos$$ωt]$$=1002$$[$$1+cos100$$$$π$$t]$$=50$$[$$1+cos100$$$$π$$t]$$I=+CV$$ω$$2sin$$ωt

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

An inductor and two capacitors are connected in the circuit as shown in figure. Initially capacitor A has no charge and capacitor B has CV charge. Assume that the circuit has no resistance at all. at at=0, switch S is closed, then [given LC=2π2×104s2 and CV=100mC ]choose the correct option

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material