Question

The resonance frequency of a series RLC circuit is 3500 Hz . Part A What is the resonance frequency if the resistance R is doubled? Express your answer with the appropriate units. Tommplates Symbol Wado redo reslet keyboard shortcuts help, Value Units fo = Submit Request Answer Part B What is the resonance frequency if the inductance L is doubled? Express your answer with the appropriate units. Tomplate Symbols Lado redo reset keyboard shortcuts help, fo = Value Units Submit Request Answer - Part C is doubled? What is the resonance frequency if the capacitance Express your answer with the appropriate units. Təmplates Symbolſ vado ředo resət keyboard shortcuts helo, Value Units 30 = Submit Request Answer - Part D What is the resonance frequency if the peak emf En is doubled? Express your answer with the appropriate units. 5o = Templates Symbols Lado redo reset keyboard shortcuts help, Value Units

Answer 1

Solution) fo = 3500 Hz

(A) R' = 2R

fo = ?

fo = 1/(LC)^(1/2)

SO From above relation fr is independent of resistance so it remains the same .

fo = 3500 Hz

fo = 3500 Hz

(B) L' = 2L

fo = ?

fo = 1/(2LC)^(1/2)

fo = (0.707)/(LC)^(1/2)

fo = 0.707×3500 = 2474.5

fo = 2474.5 Hz

(C) C' = 2C

fo = ?

fo = 1/(L(2C))^(1/2)

fo = (0.707)/(LC)^(1/2)

fo = 0.707×3500 = 2474.5 Hz

fo = 2474.5 Hz

(D) E'o = 2Eo

fo = 1/(LC)^(1/2)

So it is independent of emf so it remains same

fo = 3500 Hz