A coil of inductance 8.4 mH and resistance 6 Ω is connected to a 12 V battery. The current in the coil is 1.0 A at approximately the time

Question

A coil of inductance 8.4 mH and resistance 6 Ω is connected to a 12 V battery. The current in the coil is 1.0 A at approximately the time (A) 500 s (B) 20 s (C) 35 ms (D) 1 ms

Tardigrade Admin · Accepted Answer

Peak current in the circuits, i0=(12/6)=2 A Current decreases from 2 A to 1 A i.e., becomes half in time t=0.693 (L/R) =0.693 × (8.4 × 10-3/6)=1 ms

Q. A coil of inductance $8.4 m H$ and resistance $6 Ω$ is connected to a $12 V$ battery. The current in the coil is $1.0 A$ at approximately the time

500 s

20 s

35 ms

1 ms

Peak current in the circuits, $i_{0} = \frac{12}{6} = 2 A$
Current decreases from $2 A$ to $1 A$
i.e., becomes half in time $t = 0.693 \frac{L}{R}$
$= 0.693 \times \frac{8.4 \times 1 0 ^{- 3}}{6} = 1 m s$

Q. A coil of inductance 8.4mH and resistance 6Ω is connected to a 12V battery. The current in the coil is 1.0A at approximately the time