COMEDK · Physics · 22. Electromagnetic Induction
The magnetic flux \(\phi\) through a stationary loop of wire having a resistance R varies with time as \(\phi=4 t^2+3 t\). The average emf and total charge flowing in the loop in the time interval \(t=0\) to \(t=\tau\) respectively are
- A \(4 \tau+3, \quad \dfrac{4 \tau^2+3 \tau}{R}\)
- B \(3 \tau+4, \quad \dfrac{4 \tau^2+3 \tau}{R}\)
- C \(4 \tau+3, \quad \dfrac{4 r+3}{R}\)
- D \(\tau+3, \quad \dfrac{4 \tau^2+3 \tau}{R}\)
Answer & Solution
Correct Answer
(A) \(4 \tau+3, \quad \dfrac{4 \tau^2+3 \tau}{R}\)
Step-by-step Solution
Detailed explanation
The magnetic flux is given by \(\phi(t) = 4t^2 + 3t\). The average induced emf \(\varepsilon_{avg}\) in the time interval \(t=0\) to \(t=\tau\) is defined as the change in flux divided by the time interval:…
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