JEE Main · PhysicsHard
Along straight wire carries a current $I$. A rectangular loop of sides $a$ and $b$ is placed in the same plane such that the side of length $a$ is parallel to the wire at a distance $d$ from it. Calculate the magnetic flux $\Phi$ through the loop.
- A.$\frac{\mu_0 I a}{2\pi} \ln(1 + \frac{b}{d})$
- B.$\frac{\mu_0 I b}{2\pi} \ln(1 + \frac{a}{d})$
- C.$\frac{\mu_0 I a}{2\pi} \ln(\frac{d}{d+b})$
- D.$\frac{\mu_0 I b}{2\pi} \ln(\frac{d}{d+a})$
Show correct answer & step-by-step solution
Correct answer: A — $\frac{\mu_0 I a}{2\pi} \ln(1 + \frac{b}{d})$
Solution
The flux is .
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