Q148 / 180 · KCET 2019 · Physics
Consider the situation given in figure. The wire \( A B \) is slid on the fixed rails with a constant
velocity. If the wire \( A B \) is replaced by a semicircular wire, the magnitude of the induced current
will
velocity. If the wire \( A B \) is replaced by a semicircular wire, the magnitude of the induced current
will
- Adecrease
- Bincrease
- Cincrease or decrease depending on whether the semicircle bulges towards the resistance
or away from it - Correct answerDremain same
Solution
(D)
The induced emf e \( =l(\vec{v} \times \vec{B})=I(v B \sin \theta)=B v \mid \)
Induced current, \( \mathrm{i}=\frac{e}{R} \)
If the straight wire is replaced by a semicircular wire, resistance \( R \) remains unchanged.
Hence, current remains same.
The induced emf e \( =l(\vec{v} \times \vec{B})=I(v B \sin \theta)=B v \mid \)
Induced current, \( \mathrm{i}=\frac{e}{R} \)
If the straight wire is replaced by a semicircular wire, resistance \( R \) remains unchanged.
Hence, current remains same.
Hence, the correct answer is option: 'D'.