Solveeit Logo
Login

Question

Question: A coil having n turns and resistance R Ω is connected with a galvanometer of resistance\(4R\Omega\)....

A coil having n turns and resistance R Ω is connected with a galvanometer of resistance4RΩ4R\Omega. This combination is moved in time t seconds from a magnetic field W1 weber to W2 weber. The induced current in the circuit is

A

−W2−W15 6muRnt- \frac{W_{2} - W_{1}}{5\mspace{6mu} Rnt}

B

−n(W2−W1)5 6muRt- \frac{n(W_{2} - W_{1})}{5\mspace{6mu} Rt}

C

−(W2−W1)Rnt- \frac{(W_{2} - W_{1})}{Rnt}

D

−n(W2−W1)Rt- \frac{n(W_{2} - W_{1})}{Rt}

Answer

−n(W2−W1)5 6muRt- \frac{n(W_{2} - W_{1})}{5\mspace{6mu} Rt}

Explanation

Solution

i=eR=−NR(φ2−φ1)Δt=−n(W2−W1)5Rti = \frac{e}{R} = \frac{- N}{R}\frac{(\varphi_{2} - \varphi_{1})}{\Delta t} = \frac{- n(W_{2} - W_{1})}{5Rt}