In the figure as shown, a conducting wire P Q of length 1 m is moving in a uniform magnetic field B=3 T with constant velocity v=2 m / sec towards right. Given, R=2 Ω, C=1 F and L=2 H. The current through resistance, capacitor and inductor at any time t are I1, I2 and I3 respectively. The value of I3 (in A) at time t=2 sec is

Question

In the figure as shown, a conducting wire P Q of length 1 m is moving in a uniform magnetic field B=3 T with constant velocity v=2 m / sec towards right. Given, R=2 Ω, C=1 F and L=2 H. The current through resistance, capacitor and inductor at any time t are I1, I2 and I3 respectively. The value of I3 (in A) at time t=2 sec is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

V=B v L=(3)(2)(1)=6 V VR=VC=VL=6 V (All are in parallel) VL=L (d i/d t) 6=(2) (d i/d t) ⇒ (d i/d t)=3 A / sec After 2 sec, current will be 6 A.

V=BvL=(3)(2)(1)=6V VR​=VC​=VL​=6V (All are in parallel) VL​=Ldtdi​6=(2)dtdi​ ⇒dtdi​=3A/sec After 2sec, current will be 6A.

$V = B vL = (3) (2) (1) = 6 V$
$V_{R} = V_{C} = V_{L} = 6 V$ (All are in parallel)
$V_{L} = L \frac{d i}{d t} 6 = (2) \frac{d i}{d t}$
$\Rightarrow \frac{d i}{d t} = 3 A / sec$
After $2 sec$ , current will be $6 A$ .