When an a.c. source of e.m.f. E=E0 sin 100 t is connected across a circuit, it is observed that voltage leads the current by a phase angle (π/4). If the circuit consists possible only R - L , R - C or L - C in series the two elements could be :

Question

When an a.c. source of e.m.f. E=E0 sin 100 t is connected across a circuit, it is observed that voltage leads the current by a phase angle (π/4). If the circuit consists possible only R - L , R - C or L - C in series the two elements could be : (A) R =10 Ω, L =10 mH (B) R =10 Ω, C =1000 μ F (C) R=100 Ω, C=1000 μ F (D) R =10 Ω, L =100 mH

Tardigrade Admin · Accepted Answer

Circuit is inductive tan (π/4)=(ω L/R)

Q. When an $a . c$ . source of e.m.f. $E = E_{0} sin 100 t$ is connected across a circuit, it is observed that voltage leads the current by a phase angle $\frac{π}{4}$ . If the circuit consists possible only $R - L, R - C$ or $L - C$ in series the two elements could be :

$R = 10 Ω, L = 10 m H$

$R = 10 Ω, C = 1000 μ F$

$R = 100 Ω, C = 1000 μ F$

$R = 10 Ω, L = 100 m H$

Circuit is inductive $tan \frac{π}{4} = \frac{ω L}{R}$

Q. When an a.c. source of e.m.f. E=E0​sin100t is connected across a circuit, it is observed that voltage leads the current by a phase angle 4π​. If the circuit consists possible only R−L,R−C or L−C in series the two elements could be :

R=10Ω,L=10mH

R=10Ω,C=1000μF

R=100Ω,C=1000μF

R=10Ω,L=100mH