Q.

The angular frequency of alternating current in a L.C.R circuit is 100 rad/s. The components connected are shown in the figure. Find the value of inductance of the coil and capacity of condenser.

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a

0.8 H and  250 μF

b

1.33H and 250 μF

c

1.33 H and150 μF

d

0.8 H and  150μF

answer is A.

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Detailed Solution

Since, key is open R' will not participate in circuit.15=irms(60)(v=iR)             ⇒irms=1560⇒irms=14A                  Now,  20=14XLv=iXL⇒20=14(ωL)           ⇒20=14(100L)             ⇒L=2025⇒L=45                     ⇒L=0.8H        And 10=14XCv=iXC⇒10=141ωC    ⇒10=141100C        ⇒C=14×103⇒C=0.25×10-3F ⇒C=250×10-6F ⇒C=250μF
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