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