An A.C voltage V=5 cos (1000 t ) V is applied to a L-R series circuit of inductance 3 mH and resistance 4 Ω. The value of maximum current in the circuit is A.

Question

An A.C voltage V=5 cos (1000 t ) V is applied to a L-R series circuit of inductance 3 mH and resistance 4 Ω. The value of maximum current in the circuit is A. (A) 0.8 (B) 1.0 (C) (5/7) (D) (5/√7)

Tardigrade Admin · Accepted Answer

V =5 cos 1000 t volt V=V0 cos ω t V0=5 volt ω=1000 rad / s L=3 × 10-3 H, R=4 Ω Maximum current 10=( V 0/Z), 10=(5/√ω2 L2+R2)=(5/5)=1 A

Q. An A.C voltage $V = 5 cos (1000 t) V$ is applied to a L-R series circuit of inductance $3 m H$ and resistance $4 Ω$ . The value of maximum current in the circuit is _____ $A$ .

$0.8$

$1.0$

$\frac{5}{7}$

$\frac{5}{7}$

$V = 5 cos 1000 t$ volt
$V = V_{0} cos ω t$
$V_{0} = 5 v o lt$
$ω = 1000 r a d / s$
$L = 3 \times 1 0^{- 3} H, R = 4 Ω$
Maximum current $10 = \frac{V _{0}}{Z}$ ,
$10 = \frac{5}{ω ^{2} L ^{2} + R ^{2}} = \frac{5}{5} = 1 A$

Q. An A.C voltage V=5cos(1000t)V is applied to a L-R series circuit of inductance 3mH and resistance 4Ω. The value of maximum current in the circuit is _____ A.

0.8

1.0

75​

7​5​

V=5cos1000t volt V=V0​cosωt V0​=5volt ω=1000rad/s L=3×10−3H,R=4Ω Maximum current 10=ZV0​​, 10=ω2L2+R2​5​=55​=1A

Q. An A.C voltage $V = 5 cos (1000 t) V$ is applied to a L-R series circuit of inductance $3 m H$ and resistance $4 Ω$ . The value of maximum current in the circuit is _____ $A$ .

$0.8$

$1.0$

$\frac{5}{7}$

$\frac{5}{7}$

$V = 5 cos 1000 t$ volt
$V = V_{0} cos ω t$
$V_{0} = 5 v o lt$
$ω = 1000 r a d / s$
$L = 3 \times 1 0^{- 3} H, R = 4 Ω$
Maximum current $10 = \frac{V _{0}}{Z}$ ,
$10 = \frac{5}{ω ^{2} L ^{2} + R ^{2}} = \frac{5}{5} = 1 A$