A coil has 100 turns, each of area $0.05{\mathrm{m}}^{2}$ and total resistance $1.5\Omega$. It is inserted at an instant in a magnetic field of 90 mT , with its axis parallel to the field. The charge induced in the coil at that instant is :

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Correct answer: b) 0.30 C. The induced charge in the coil is given by Faraday's law:$Q=\frac{N⋅A⋅B}{R}⋅\Delta t$ $N=100$ is the number of turns, $A=0.05{\text{m}}^{2}$ is the area of each turn, $B=90\text{mT}=0.09\text{T}$is the magnetic field strength, $R=1.5\Omega$is the total resistance of the coil. Substitute these values into the formula:$Q=\frac{100⋅0.05⋅0.09}{1.5}=0.30\text{C}$

A coil has 100 turns, each of area \(0.05{\mathrm{m}}^{2}\) and total resistance \(1.5\Omega\). It is inserted at an ins…

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