KCET · Physics · Electromagnetic Induction
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
- A decrease
- B increase
- C increase or decrease depending on whether the semicircle bulges towards the resistance
or away from it - D remain same
Answer & Solution
Correct Answer
(D) remain same
Step-by-step Solution
Detailed explanation
(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.
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