Question
A coil having n turns $\&$ resistance $R \Omega$ is connected with a galvanometer of resistance $4 \mathrm{R} \Omega$. This combination is moved from a magnetic field $\mathrm{W}_{1} \mathrm{~Wb}$ to $\mathrm{W}_{2} \mathrm{~Wb}$ in $\mathrm{t}$ second. The induced current in the circuit is....(a) $-\left[\left\{\mathrm{W}_{2}-\mathrm{W}_{1}\right\} /\{5 \mathrm{Rnt}\}\right]$(b) $-\mathrm{n}\left[\left\{\mathrm{W}_{2}-\mathrm{W}_{1}\right\} /\{5 \mathrm{Rt}\}\right]$(c) $-\left[\left\{\mathrm{W}_{2}-\mathrm{W}_{1}\right\} /\{\mathrm{Rnt}\}\right]$(d) $-\mathrm{n}\left[\left\{\mathrm{W}_{2}-\mathrm{W}_{1}\right\} /\{\mathrm{Rt}\}\right]$
Step 1
Mathematically, it can be represented as: \[E = -n \frac{d\Phi}{dt}\] where n is the number of turns in the coil, dΦ is the change in magnetic flux and dt is the change in time. Show more…
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