A conducting circular loop made of a thin wire has area 3.5 × 10 - 2 m 2 and resistance 10 Ω It is placed perpendicular to a time-dependent magnetic field B t = 0.4 T sin ⁡ 50 π t The field is uniform in space. Then the net charge flowing through the loop during t = 0 s and t = 10 ms is close to

Step-by-step solution

It is given that, the magnetic field, B = 0.4   s i n 50 π t and the area of the given circular conducting loop, A = 3.5 × 10 - 2   m 2 Magnetic flux, ϕ = B A       . . . ( 1 ) Then, induced emf, ε = d ϕ d t     . . . ( 2 ) When resistance in the circuit is R , the differential charge accumulated, based on current i , d Q = i d t = ε R d t = 1 R d ϕ ⇒ ∆ Q = 1 R   ∫ d φ = 1 R   ∆ ϕ Substituting given va