QJEEM19Ph880e: JEE Main 2019 Physics - Class 12 JEEM19Ph880e Solution: A conducting circular loop made of a thin wire, has area 3.5 ×…

Question

Verified Solution • 2025–26 Session moderate

A conducting circular loop made of a thin wire, has area 3.5

\times

10^{$-$ 3} m² and resistance 10

Ω

. It is placed perpendicular to a time dependent magnetic field B(t) = (0.4T)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 :

Accepted Answer

At t = 0 s

B(0) = 0.4 sin (0) = 0

and at t = 10 ms

B(10) = 0.4 sin (50

π

\times

10

\times

10^-3)

= 0.4 sin

(\frac{π}{2})

= 0.4

As q =

\frac{Δ ϕ}{R}

=

\frac{A [B (10) - B (0)]}{10}

=

\frac{3.5 \times 10^{- 3} [0.4 - 0]}{10}

= 0.14 mC

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