Q145 / 180 · KCET 2024 · Physics
An induced current of 2 A flows through a coil. The resistance of the coil is $10 \Omega$. What is the change in magnetic flux associated with the coil in 1 ms ?
- A$0.2 \times 10^{-2} \mathrm{~Wb}$
- Correct answerB$2 \times 10^{-2} \mathrm{~Wb}$
- C$22 \times 10^{-2} \mathrm{~Wb}$
- D$0.22 \times 10^{-2} \mathrm{~Wb}$
Solution
Given, $I=2 \mathrm{~A}, R=10 \Omega$
$t=1 \mathrm{~ms}=10^{-3} \mathrm{~s}$
We know that,
$|\varepsilon|=\frac{\Delta \phi}{\Delta t} \Rightarrow I R=\frac{\Delta \phi}{\Delta t}$
$\Rightarrow \quad \Delta \phi=I R \Delta t=2 \times 10 \times 10^{-3}$
$=0.02 \mathrm{~Wb}=2 \times 10^{-2} \mathrm{~Wb}$
Hence, the correct answer is option: 'B'.