A coil of resistance 400 Ω is placed in a magnetic field. If the magnetic flux φ( Wb ) linked with the coil varies with time t( sec ) as φ=50 t 2+4. The current in the coil at t=2 sec is :

Question

A coil of resistance 400 Ω is placed in a magnetic field. If the magnetic flux φ( Wb ) linked with the coil varies with time t( sec ) as φ=50 t 2+4. The current in the coil at t=2 sec is : (A) 2 A (B) 1 A (C) 0.5 A (D) 0.1 A

Tardigrade Admin · Accepted Answer

i =( d φ / dt / R )=(100 t /400)=(200/400)=0.5 A

Q. A coil of resistance $400 Ω$ is placed in a magnetic field. If the magnetic flux $ϕ (Wb)$ linked with the coil varies with time $t (sec)$ as $ϕ = 50 t^{2} + 4$ . The current in the coil at $t = 2 sec$ is :

$2 A$

$1 A$

$0.5 A$

$0.1 A$

$i = \frac{d ϕ / d t}{R} = \frac{100 t}{400} = \frac{200}{400} = 0.5 A$

Q. A coil of resistance 400Ω is placed in a magnetic field. If the magnetic flux ϕ(Wb) linked with the coil varies with time t(sec) as ϕ=50t2+4. The current in the coil at t=2sec is :

2A

1A

0.5A

0.1A