Question

A coil having n turns and resistance RΩ is connected with a galvanometer of resistance 4RΩ. This combination is moved in time t seconds from a magnetic field W₁ weber to W₂ weber. The induced current in the circuit is ______.

विकल्प

• `-(("W"_2-"W"_1))/"Rnt"`

• `-("n"("W"_2-"W"_1))/(5  "Rt")`

• `-(("W"_2-"W"_1))/(5  "Rnt")`

• `-("n"("W"_2-"W"_1))/ "Rt"`

Answer 1

A coil having n turns and resistance RΩ is connected with a galvanometer of resistance 4RΩ. This combination is moved in time t seconds from a magnetic field W₁ weber to W₂ weber. The induced current in the circuit is `bb(-("n"("W"_2-"W"_1))/(5  "Rt"))`.

Explanation:

`(Deltaphi)/(Delta"t") = (("W"_2-"W"_1))/"t"`

R_tot = (R + 4R)Ω = 5RΩ

i = `("nd"phi)/("R"_"tot""dt") = (-"n"("W"_2-"W"_1))/(5 "Rt")`

(∵ W₂ & W₁ are magnetic flux)