First slide

Magnetic flux and induced emf

Question

A square wire loop of 10.0 cm side lies at right angles to a uniform magnetic field of 7T. A 10 V light bulb is in a series with the loop as shown in the figure. The magnetic field is decreasing steadily to zero over a time interval $∆ t$ . For what value of $Δ t (in \times 10^{- 3} \sec)$ , the bulb will shine with fuIl brightness?

Moderate

Solution

Induced emf should be equal to 10 V
$e = A \frac{d B}{d t} \Rightarrow 10 = {(\frac{10}{100})}^{2} \frac{7}{Δ t} \Rightarrow Δ t = 7 ms$

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