In a certain series LCR A.C. circuit, it is found that X L = 2 X C and phase difference between the current and voltage is 4 π . If now capacitance is made 1/ 4 th & the inductance and resistance are doubled then which are NOT CORRECT.

X L = 2 X C , X C ′ = 4 X C X L ′ = 2 X L ⇒ X L ′ − X C ′ = 2 X L − 4 X C = 2 [ X L − 2 X C ] = 0

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PhysicsEMI/ACSeries AC CircuitsMedium2 minQB

PhysicsMediummultiple choice

In a certain series LCR A.C. circuit, it is found that $X_{L} = 2 X_{C}$ and phase difference between the current and voltage is $\frac{π}{4}$ . If now capacitance is made $1/ 4^{th}$ & the inductance and resistance are doubled then which are NOT CORRECT.

Options:(select one or more)

Answer:

A, B, C

Solution:

$X_{L} = 2 X_{C}, X_{C}^{'} = 4 X_{C} X_{L}^{'} = 2 X_{L} \Rightarrow X_{L}^{'} - X_{C}^{'} = 2 X_{L} - 4 X_{C} = 2 [X_{L} - 2 X_{C}] = 0$

Stream:JEESubject:PhysicsTopic:EMI/ACSubtopic:Series AC Circuits

⏱ 2mℹ️ Source: QB

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