JEE Main 2019 — Physics solution

JEE Main2019Physics

A circuit connected to an ac source of emf e = e₀sin (100t) with t in seconds, gives a phase difference of $\frac{π}{4}$ between the emf e and current i. Which of the following circuits will exhibit this?

A
RL circuit with R = 1 k $Ω$ and L = 10 mH
B
RL circuit with R = 1 k $Ω$ and L = 1 mH
C
RC circuit with R = 1 k $Ω$ and C = 10 $μ$ F
D
RC circuit with R = 1 k $Ω$ and C = 1 $μ$ F

Solution

$A s ϕ = \frac{π}{4}, x_{c} = R$

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