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GUJCET · Physics · Electromagnetic Induction
A rectangular coil of 20 turns and area of cross section \(25 cm^2\) has a resistance of 100 ohm . If a magnetic field which is perpendicular to the plane of the coil changes at a rate of \(100 \frac{T}{ s }\), the current in the coil is _________.
- A 1 A
- B 50 A
- C 5 A
- D 0.5 A
Answer & Solution
Correct Answer
(D) 0.5 A
Step-by-step Solution
Detailed explanation
D
Induced emf \(\varepsilon= N \frac{d \phi}{d t}\)
\(\begin{aligned} IR & = N \frac{d}{d t}( AB ) \\ IR & = NA \frac{d B}{d t} \\ I & =\frac{ NA }{ R } \frac{d B}{d t}\end{aligned}\)
\(\begin{array}{l}\therefore \quad I= \ \frac{20 \times 25 \times 10^{-4} \times 100}{10}\end{array}\)
\(I=0.5 A\)
Induced emf \(\varepsilon= N \frac{d \phi}{d t}\)
\(\begin{aligned} IR & = N \frac{d}{d t}( AB ) \\ IR & = NA \frac{d B}{d t} \\ I & =\frac{ NA }{ R } \frac{d B}{d t}\end{aligned}\)
\(\begin{array}{l}\therefore \quad I= \ \frac{20 \times 25 \times 10^{-4} \times 100}{10}\end{array}\)
\(I=0.5 A\)
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