An alternating L−C−R circuit is shown in figure, then match the co

An alternating L−C−R circuit is shown in figure, then match the column : (Here symbols have their usual meaning) Column-I Column-II (A). If ωL1−1C1ω=R1, and ωL2−1ωC2=R2(1). I1 and I2 are in same Phase.(B). If ωL1−1C1ω=R1, and 1ωC2−ωL2=R2(2). I=I1+I2 where , I1 , I2 , I3 are RMS value of currents.(C). If capacitor C1 and inductor L2 are removed from circuit and ωL1=R1 ; 1ωC2=R2(3). Magnitude of phase difference between I1 and I2 is π2(D). If capacitors C1 and C2 are both removed from the circuit and ωL1=R1 ; ωL2=R2(4). I=√(I1)2+(I2)2 where, I1 , I2 , I3 are RMS value of currents.(5). I1 is lags and I2 is leads from source voltage.

Answer»

An alternating $L - C - R$ circuit is shown in figure, then match the column : (Here symbols have their usual meaning)

Column-I
Column-II

$(A) .$ If $ω L_{1} - \frac{1}{C_{1} ω} = R_{1}$ , and $ω L_{2} - \frac{1}{ω C_{2}} = R_{2}$	$(1) .$ $I_{1}$ and $I_{2}$ are in same Phase.
$(B) .$ If $ω L_{1} - \frac{1}{C_{1} ω} = R_{1}$ , and $\frac{1}{ω C_{2}} - ω L_{2} = R_{2}$	$(2) .$ $I = I_{1} + I_{2}$ where , $I_{1}, I_{2}, I_{3}$ are RMS value of currents.
$(C) .$ If capacitor $C_{1}$ and inductor $L_{2}$ are removed from circuit and $ω L_{1} = R_{1}; \frac{1}{ω C_{2}} = R_{2}$	$(3) .$ Magnitude of phase difference between $I_{1}$ and $I_{2}$ is $\frac{π}{2}$
$(D) .$ If capacitors $C_{1}$ and $C_{2}$ are both removed from the circuit and $ω L_{1} = R_{1}; ω L_{2} = R_{2}$	$(4) .$ $I = \sqrt{{(I_{1})}_{1}^{2} + {(I_{2})}_{2}^{2}}$ where, $I_{1}, I_{2}, I_{3}$ are RMS value of currents.
$(5) .$ $I_{1}$ is lags and $I_{2}$ is leads from source voltage.