Question

In LCR circuit, the capacitance is changed from C to 4C. For some resonant frequency, the inductance should be changed from L to ____________.

विकल्प

• 4L

• L/4

• L/2

• 2L

Answer 1

In LCR circuit, the capacitance is changed from C to 4C. For some resonant frequency, the inductance should be changed from L to L/4.

Explanation:

`"using,"  "f"_"r" = 1/(2pi sqrt"LC") Rightarrow "L" prop 1/"C" "for fixed"   "f"_"r"`

`therefore "L"_2/"L"_1 = "C"_1/"C"_2 = "C"/(4"C") Rightarrow "L"_2 = "L"/4`