If a coil of 40 turns and area 4.0 cm2 is suddenly removed form a magnetic field, it is observed that a charge of 2.0×10−4C flows into the coil. If the resistance of the coil is 80Ω , the magnetic flux density (in T ) is __________.

Here n=40,A=4.0cm2=4×10−4m2Q=2×10−4C,R=80Ω,B=?Q=ΔϕR=nA(B−0)R;B=Q×RnA=2×10−1×8040×4×10−1=1T

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If a coil of 40 turns and area $4 .0 {cm}^{2}$ is suddenly removed form a magnetic field, it is observed that a charge of $2 .0 \times 10^{- 4} C$ flows into the coil. If the resistance of the coil is $80 Ω$ , the magnetic flux density (in T ) is __________.

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Detailed Solution

$Here n = 40, A = 4 .0 {cm}^{2} = 4 \times 10^{- 4} m^{2}$
$\begin{array}{l} Q = 2 \times 10^{- 4} C, R = 80 Ω, B = ? \\ Q = \frac{Δϕ}{R} = \frac{nA (B - 0)}{R}; B = \frac{Q \times R}{nA} = \frac{2 \times 10^{- 1} \times 80}{40 \times 4 \times 10^{- 1}} = 1 T \end{array}$

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