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Question:

At time t=0, terminal A in the circuit shown in the figure is connected to B by a key and an alternating currentI(t)=I0cos(ωt),withI0=1Aandω=500rad/sstarts flowing in it with the initial direction shown in the figure. Att=7π6ω, the key is switched from B to D. Now onwards only A and D are connected. A total charge Q flows from the battery to charge the capacitor fully. If C=20μF, R=10Ωand the battery is ideal with emf of 50 V, identify the correct statement(s).Magnitude of the maximum charge on the capacitor beforet=7π6ωis1×10𕒷C.The current in the left part of the circuit just beforet=7π6ωis clockwise.Immediately after A is connected to D, the current in R is 10 A.Q=2×10𕒷CAt time t=0, terminal A in the circuit shown in the figure is connected to B by a key and an alternating currentI(t)=I0cos(ωt),withI0=1Aandω=500rad/sstarts flowing in it with the initial direction shown in the figure. Att=7π6ω, the key is switched from B to D. Now onwards only A and D are connected. A total charge Q flows from the battery to charge the capacitor fully. If C=20μF, R=10Ωand the battery is ideal with emf of 50 V, identify the correct statement(s).Magnitude of the maximum charge on the capacitor beforet=7π6ωis1×10𕒷C.The current in the left part of the circuit just beforet=7π6ωis clockwise.Immediately after A is connected to D, the current in R is 10 A.Q=2×10𕒷C=====I(t)=I0cos(ωt),I(t)=I0cos(ωt),I(t)=I0cos(ωt),II((tt))==I0III000ccooss((ωωtt)),,I0=1AI0=1AI0=1AI0III000==11AAω=500rad/sω=500rad/sω=500rad/sωω==500500rraadd////sst=7π6ωt=7π6ωt=7π6ωtt==7π6ω7π6ω7π6ω7π6ω7π7π77ππ6ω6ω66ωω=====μμμμμ=10Ω=10Ω=10Ω==1010ΩΩMagnitude of the maximum charge on the capacitor beforet=7π6ωis1×10𕒷C.t=7π6ωt=7π6ωt=7π6ωtt==7π6ω7π6ω7π6ω7π6ω7π7π77ππ6ω6ω66ωω1×10𕒷C1×10𕒷C1×10𕒷C11××10�𕒷𕒷𕒷−󔼩CCThe current in the left part of the circuit just beforet=7π6ωis clockwise.t=7π6ωt=7π6ωt=7π6ωt=7π6ωt=7π6ωtt==7π6ω7π6ω7π7π77ππ6ω6ω66ωωImmediately after A is connected to D, the current in R is 10 A.Q=2×10𕒷CQ=2×10𕒷CQ=2×10𕒷CQ=2×10𕒷CQQ==22××10�𕒷𕒷𕒷−󔼩CCAThe current in the left part of the circuit just beforet=7π6ωis clockwise.The current in the left part of the circuit just beforet=7π6ωis clockwise.t=7π6ωt=7π6ωt=7π6ωt=7π6ωt=7π6ωtt==7π6ω7π6ω7π7π77ππ6ω6ω66ωωBImmediately after A is connected to D, the current in R is 10 A.Immediately after A is connected to D, the current in R is 10 A.CQ=2×10𕒷CQ=2×10𕒷CQ=2×10𕒷CQ=2×10𕒷CQ=2×10𕒷CQQ==22××10�𕒷𕒷𕒷−󔼩CCDMagnitude of the maximum charge on the capacitor beforet=7π6ωis1×10𕒷C.Magnitude of the maximum charge on the capacitor beforet=7π6ωis1×10𕒷C.t=7π6ωt=7π6ωt=7π6ωtt==7π6ω7π6ω7π6ω7π6ω7π7π77ππ6ω6ω66ωω1×10𕒷C1×10𕒷C1×10𕒷C11××10�𕒷𕒷𕒷−󔼩CC?

The current in the left part of the circuit just beforet=7π6ωis clockwise.

Immediately after A is connected to D, the current in R is 10 A.

Q=2×10𕒷C

Magnitude of the maximum charge on the capacitor beforet=7π6ωis1×10𕒷C.

Solution: