iran-konkur 2014 Q185

iran-konkur · Other · konkur-riazi_1393 Not Maths
185. In the figure, two long parallel wires carry electric currents of equal magnitude in opposite directions through point I. The magnetic field at point M, equidistant from the two wires, is:
[Figure: Two parallel wires separated by distance $2d$, point M is at distance $d$ from each wire and distance $a$ below the midpoint]
$$\frac{2\mu_0 Id}{\pi(2a^2+d^2)} \quad (1) \qquad \frac{\mu_0 Id}{\pi(2a^2+d^2)} \quad (2)$$
$$\frac{\mu_0 Ia}{\pi(4d^2+a^2)} \quad (3) \qquad \frac{2\mu_0 Ia}{\pi(4d^2+a^2)} \quad (4)$$
\textbf{185.} In the figure, two long parallel wires carry electric currents of equal magnitude in opposite directions through point I. The magnetic field at point M, equidistant from the two wires, is:

\textit{[Figure: Two parallel wires separated by distance $2d$, point M is at distance $d$ from each wire and distance $a$ below the midpoint]}

$$\frac{2\mu_0 Id}{\pi(2a^2+d^2)} \quad (1) \qquad \frac{\mu_0 Id}{\pi(2a^2+d^2)} \quad (2)$$

$$\frac{\mu_0 Ia}{\pi(4d^2+a^2)} \quad (3) \qquad \frac{2\mu_0 Ia}{\pi(4d^2+a^2)} \quad (4)$$