A conducting circular loop of resistance 20 Ω and crosssectional area 20 × 10-2 m 2 is placed perpendicular to a spatially uniform magnetic field B, which varies with time t as B=2 sin (50 π t) T. Find the net charge flowing through the loop in 20 ms starting from t =0

Question

A conducting circular loop of resistance 20 Ω and crosssectional area 20 × 10-2 m 2 is placed perpendicular to a spatially uniform magnetic field B, which varies with time t as B=2 sin (50 π t) T. Find the net charge flowing through the loop in 20 ms starting from t =0 (A) 0.5 C (B) 0.2 C (C) 0 C (D) 0.14 C

Tardigrade Admin · Accepted Answer

Δ q=(Δ φ/R)=(φ2-φ1/R)=0 ⇒ Δ q=0 [φ1=φ2=0. at t =0 and .t =20 ms ]

Q. A conducting circular loop of resistance 20Ω and crosssectional area 20×10−2m2 is placed perpendicular to a spatially uniform magnetic field B, which varies with time t as B=2sin(50πt)T. Find the net charge flowing through the loop in 20ms starting from t=0

0.5 C

0.2 C

0 C

0.14 C

Δq=RΔϕ​=Rϕ2​−ϕ1​​=0 ⇒Δq=0 [ϕ1​=ϕ2​=0 at t=0 and t=20ms]

$Δ q = \frac{Δ ϕ}{R} = \frac{ϕ _{2} - ϕ _{1}}{R} = 0$
$\Rightarrow Δ q = 0$
$[ϕ_{1} = ϕ_{2} = 0$ at $t = 0$ and $t = 20 m s]$